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</div> <div class="control"> <button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <nav class="pagination is-small is-centered breathe-horizontal" role="navigation" aria-label="pagination"> <a href="" class="pagination-previous is-invisible">Previous </a> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=50" class="pagination-next" >Next </a> <ul class="pagination-list"> <li> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=0" class="pagination-link is-current" aria-label="Goto page 1">1 </a> </li> <li> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=50" class="pagination-link " aria-label="Page 2" aria-current="page">2 </a> </li> <li> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=100" class="pagination-link " aria-label="Page 3" aria-current="page">3 </a> </li> <li> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=150" class="pagination-link " aria-label="Page 4" aria-current="page">4 </a> </li> </ul> </nav> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2411.08852">arXiv:2411.08852</a> <span> [<a href="https://arxiv.org/pdf/2411.08852">pdf</a>, <a href="https://arxiv.org/format/2411.08852">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Strange and charm quark contributions to the muon anomalous magnetic moment in lattice QCD with twisted-mass fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=De+Santis%2C+A">A. De Santis</a>, <a href="/search/hep-lat?searchtype=author&query=Evangelista%2C+A">A. Evangelista</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Kalntis%2C+N">N. Kalntis</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Pittler%2C+F">F. Pittler</a>, <a href="/search/hep-lat?searchtype=author&query=Romiti%2C+S">S. Romiti</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2411.08852v1-abstract-short" style="display: inline;"> We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon in isospin symmetric QCD. We employ the gauge configurations generated by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavors of Wilson-clover twisted-mass quarks at five lattice spacings and at values of the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2411.08852v1-abstract-full').style.display = 'inline'; document.getElementById('2411.08852v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2411.08852v1-abstract-full" style="display: none;"> We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon in isospin symmetric QCD. We employ the gauge configurations generated by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavors of Wilson-clover twisted-mass quarks at five lattice spacings and at values of the quark mass parameters that are close and/or include the isospin symmetric QCD point of interest. After computing the small corrections necessary to precisely match this point, and carrying out an extrapolation to the continuum limit based on the data at lattice spacings $a \simeq 0.049, 0.057, 0.068, 0.080$~fm and spatial lattice sizes up to $L \simeq 7.6$~fm, we obtain $a_渭^{\rm HVP}(s) = (53.57 \pm 0.63) \times 10^{-10}$ and $a_渭^{\rm HVP}(c) = (14.56 \pm 0.13) \times 10^{-10}$, for the quark-connected strange and charm contributions, respectively. Our findings agree well with the corresponding results by other lattice groups. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2411.08852v1-abstract-full').style.display = 'none'; document.getElementById('2411.08852v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 November, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">33 pages, 18 figures, 3 tables</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2024-197 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2403.05404">arXiv:2403.05404</a> <span> [<a href="https://arxiv.org/pdf/2403.05404">pdf</a>, <a href="https://arxiv.org/format/2403.05404">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Inclusive hadronic decay rate of the $蟿$ lepton from lattice QCD: the $\bar u s$ flavour channel and the Cabibbo angle </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=De+Santis%2C+A">A. De Santis</a>, <a href="/search/hep-lat?searchtype=author&query=Evangelista%2C+A">A. Evangelista</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Romiti%2C+S">S. Romiti</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2403.05404v2-abstract-short" style="display: inline;"> We present a lattice determination of the inclusive decay rate of the process $蟿\mapsto X_{us} 谓_蟿$ in which the $蟿$ lepton decays into a generic hadronic state $X_{us}$ with $\bar u s$ flavour quantum numbers. Our results have been obtained in $n_f=2+1+1$ iso-symmetric QCD with full non-perturbative accuracy, without any OPE approximation and, except for the presently missing long-distance isospi… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2403.05404v2-abstract-full').style.display = 'inline'; document.getElementById('2403.05404v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2403.05404v2-abstract-full" style="display: none;"> We present a lattice determination of the inclusive decay rate of the process $蟿\mapsto X_{us} 谓_蟿$ in which the $蟿$ lepton decays into a generic hadronic state $X_{us}$ with $\bar u s$ flavour quantum numbers. Our results have been obtained in $n_f=2+1+1$ iso-symmetric QCD with full non-perturbative accuracy, without any OPE approximation and, except for the presently missing long-distance isospin-breaking corrections, include a solid estimate of all sources of theoretical uncertainties. This has been possible by using the Hansen-Lupo-Tantalo method [1] that we have already successfully applied in [2] to compute the inclusive decay rate of the process $蟿\mapsto X_{ud} 谓_蟿$ in the $\bar u d$ flavour channel. By combining our first-principles theoretical results with the presently-available experimental data we extract the CKM matrix element $\vert V_{us}\vert$, the Cabibbo angle, with a $0.9$\% accuracy, dominated by the experimental error. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2403.05404v2-abstract-full').style.display = 'none'; document.getElementById('2403.05404v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 10 June, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 8 March, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, 5 figures, 1 table. Version accepted by PRL, expanded technical discussion moved to an appendix, results unchanged</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2402.03262">arXiv:2402.03262</a> <span> [<a href="https://arxiv.org/pdf/2402.03262">pdf</a>, <a href="https://arxiv.org/format/2402.03262">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> The $B_{s}\to 渭^{+}渭^{-}纬$ decay rate at large $q^{2}$ from lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">C. T. Sachrajda</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2402.03262v1-abstract-short" style="display: inline;"> We determine, by means of lattice QCD calculations, the local form factors describing the $B_{s}\to 渭^{+}渭^{-}纬$ decay. For this analysis we make use of the gauge configurations produced by the ETM Collaboration with $N_{f}=2+1+1$ flavour of Wilson-Clover twisted-mass fermions at maximal twist. To obtain the $B_{s}$ meson form-factors, we perform simulations for several heavy-strange meson masses… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2402.03262v1-abstract-full').style.display = 'inline'; document.getElementById('2402.03262v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2402.03262v1-abstract-full" style="display: none;"> We determine, by means of lattice QCD calculations, the local form factors describing the $B_{s}\to 渭^{+}渭^{-}纬$ decay. For this analysis we make use of the gauge configurations produced by the ETM Collaboration with $N_{f}=2+1+1$ flavour of Wilson-Clover twisted-mass fermions at maximal twist. To obtain the $B_{s}$ meson form-factors, we perform simulations for several heavy-strange meson masses $m_{H_{s}}$ in the range $m_{H_{s}} \in [ m_{D_{s}}, 2 m_{D_{s}} ]$, and extrapolate to the physical $B_{s}$ meson point $m_{B_{s}}\simeq 5.367~{\rm GeV}$ making use of the HQET scaling laws. We cover the region of large di-muon invariant masses $\sqrt{q^{2}} > 4.16\,{\rm GeV}$, and use our results to determine the branching fraction for $B_{s}\to 渭^{+}渭^{-}纬$, which has been recently measured by LHCb in the region $\sqrt{q^{2}} > 4.9\,{\rm GeV}$. The largest contribution to the uncertainty in the partial branching fractions at values of $\sqrt{q^{2}} < 4.8\,{\rm GeV}$ is now due to resonance and other long-distance effects, including those from "charming penguins", which we estimate by summing over the contributions from the $J_P=1^-$ charmonium resonances. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2402.03262v1-abstract-full').style.display = 'none'; document.getElementById('2402.03262v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 5 February, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">42 page, 25 figures, 6 tables</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2309.05774">arXiv:2309.05774</a> <span> [<a href="https://arxiv.org/pdf/2309.05774">pdf</a>, <a href="https://arxiv.org/format/2309.05774">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Nucleon axial and pseudoscalar form factors using twisted-mass fermion ensembles at the physical point </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">Giannis Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Spanoudes%2C+G">Gregoris Spanoudes</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2309.05774v2-abstract-short" style="display: inline;"> We compute the nucleon axial and pseudoscalar form factors using three $N_f=$2+1+1 twisted mass fermion ensembles with all quark masses tuned to approximately their physical values. The values of the lattice spacings of these three physical point ensembles are 0.080 fm, 0.068 fm, and 0.057 fm, and spatial sizes 5.1 fm, 5.44 fm, and 5.47 fm, respectively, yielding $m_蟺L$>3.6. Convergence to the gro… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2309.05774v2-abstract-full').style.display = 'inline'; document.getElementById('2309.05774v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2309.05774v2-abstract-full" style="display: none;"> We compute the nucleon axial and pseudoscalar form factors using three $N_f=$2+1+1 twisted mass fermion ensembles with all quark masses tuned to approximately their physical values. The values of the lattice spacings of these three physical point ensembles are 0.080 fm, 0.068 fm, and 0.057 fm, and spatial sizes 5.1 fm, 5.44 fm, and 5.47 fm, respectively, yielding $m_蟺L$>3.6. Convergence to the ground state matrix elements is assessed using multi-state fits. We study the momentum dependence of the three form factors and check the partially conserved axial-vector current (PCAC) hypothesis and the pion pole dominance (PPD). We show that in the continuum limit, the PCAC and PPD relations are satisfied. We also show that the Goldberger-Treimann relation is approximately fulfilled and determine the Goldberger-Treiman discrepancy. We find for the nucleon axial charge $g_A$=1.245(28)(14), for the axial radius $\langle r^2_A \rangle$=0.339(48)(06) fm$^2$, for the pion-nucleon coupling constant $g_{蟺NN} \equiv \lim_{Q^2 \rightarrow -m_蟺^2} G_{蟺NN}(Q^2)$=13.25(67)(69) and for $G_P(0.88m_渭^2)\equiv g_P^*$=8.99(39)(49). <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2309.05774v2-abstract-full').style.display = 'none'; document.getElementById('2309.05774v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 January, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 11 September, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">accepted version, 32 pages, 39 figures, 14 tables</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2308.03125">arXiv:2308.03125</a> <span> [<a href="https://arxiv.org/pdf/2308.03125">pdf</a>, <a href="https://arxiv.org/format/2308.03125">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Inclusive hadronic decay rate of the $蟿$ lepton from lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Evangelista%2C+A">Antonio Evangelista</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">Giuseppe Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">Vittorio Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">Nazario Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2308.03125v1-abstract-short" style="display: inline;"> Inclusive hadronic decays of the $蟿$ lepton are very interesting from the phenomenological point of view since they give access to the CKM matrix elements $V_{ud}$ and $V_{us}$. In this paper, for the first time, by employing the HLT method for hadronic smeared spectral densities we compute on the lattice the inclusive decay rate of the processes $蟿\to X_{ud}\, 谓_蟿$, where $X_{ud}$ is a generic ha… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2308.03125v1-abstract-full').style.display = 'inline'; document.getElementById('2308.03125v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2308.03125v1-abstract-full" style="display: none;"> Inclusive hadronic decays of the $蟿$ lepton are very interesting from the phenomenological point of view since they give access to the CKM matrix elements $V_{ud}$ and $V_{us}$. In this paper, for the first time, by employing the HLT method for hadronic smeared spectral densities we compute on the lattice the inclusive decay rate of the processes $蟿\to X_{ud}\, 谓_蟿$, where $X_{ud}$ is a generic hadronic state with $\bar{u} d$ flavor quantum numbers. Our computation, which avoids any recourse to OPE and/or perturbative approximations, is carried out in isospin symmetric $N_{f}=2+1+1$ lattice QCD at physical quark masses, using ensembles produced by the ETMC at three lattice spacings and two volumes. All uncertainties, except for isospin breaking effects, are taken into account and a result with a subpercent error is obtained for $|V_{ud}|$, which is nicely consistent with the current world average. These findings validate our approach and also motivate the inclusion of isospin breaking corrections and its extension to the inclusive decay $蟿\to X_{us}\, 谓_蟿$, paving the way towards a high-precision first principles determination of $|V_{us}|$ and $|V_{ud}|$ from inclusive $蟿$ decay. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2308.03125v1-abstract-full').style.display = 'none'; document.getElementById('2308.03125v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 6 August, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">23 pages, 8 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2306.07228">arXiv:2306.07228</a> <span> [<a href="https://arxiv.org/pdf/2306.07228">pdf</a>, <a href="https://arxiv.org/format/2306.07228">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Spectral-function determination of complex electroweak amplitudes with lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2306.07228v1-abstract-short" style="display: inline;"> We present a novel method to determine on the lattice both the real and imaginary parts of complex electroweak amplitudes involving two external currents and a single hadron or the QCD vacuum in the external states. The method is based on the spectral representation of the relevant time-dependent correlation functions and, by extending the range of applicability of other recent proposals built on… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.07228v1-abstract-full').style.display = 'inline'; document.getElementById('2306.07228v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2306.07228v1-abstract-full" style="display: none;"> We present a novel method to determine on the lattice both the real and imaginary parts of complex electroweak amplitudes involving two external currents and a single hadron or the QCD vacuum in the external states. The method is based on the spectral representation of the relevant time-dependent correlation functions and, by extending the range of applicability of other recent proposals built on the same techniques, overcomes the difficulties related to the analytic continuation from Minkowskian to Euclidean time, arising when intermediate states with energies smaller than the external states contribute to the amplitude. In its simplest form, the method relies on the standard $i \varepsilon$ prescription to regularize the Feynman integrals and at finite $\varepsilon$ it requires to verify the condition $1/L \ll \varepsilon \ll 螖(E)$, where $L$ is the spatial extent of the lattice and, for any given energy $E$, $螖(E)$ represents the typical size of the interval around $E$ in which the hadronic amplitude is significantly varying. In order to illustrate the effectiveness of this approach in a realistic case, we apply the method to evaluate non-perturbatively the hadronic amplitude contributing to the radiative leptonic decay $D_s \to\ell谓_\ell\,纬^*$, working for simplicity with a single lattice ensemble at fixed volume and lattice spacing. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.07228v1-abstract-full').style.display = 'none'; document.getElementById('2306.07228v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">22 pages, 8 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2306.05904">arXiv:2306.05904</a> <span> [<a href="https://arxiv.org/pdf/2306.05904">pdf</a>, <a href="https://arxiv.org/format/2306.05904">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Lattice calculation of the $D_{s}$ meson radiative form factors over the full kinematical range </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Mazzetti%2C+F">F. Mazzetti</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">C. T. Sachrajda</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2306.05904v1-abstract-short" style="display: inline;"> We compute the structure-dependent axial and vector form factors for the radiative leptonic decays $D_s\to \ell谓_\ell纬$, where $\ell$ is a charged lepton, as functions of the energy of the photon in the rest frame of the $D_s$ meson. The computation is performed using gauge-field configurations with 2+1+1 sea-quark flavours generated by the European Twisted Mass Collaboration and the results have… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.05904v1-abstract-full').style.display = 'inline'; document.getElementById('2306.05904v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2306.05904v1-abstract-full" style="display: none;"> We compute the structure-dependent axial and vector form factors for the radiative leptonic decays $D_s\to \ell谓_\ell纬$, where $\ell$ is a charged lepton, as functions of the energy of the photon in the rest frame of the $D_s$ meson. The computation is performed using gauge-field configurations with 2+1+1 sea-quark flavours generated by the European Twisted Mass Collaboration and the results have been extrapolated to the continuum limit. For the vector form factor we observe a very significant partial cancellation between the contributions from the emission of the photon from the strange quark and that from the charm quark. The results for the form factors are used to test the reliability of various Anz盲tze based on single-pole dominance and its extensions, and we present a simple parametrization of the form factors which fits our data very well and which can be used in future phenomenological analyses. Using the form factors we compute the differential decay rate and the branching ratio for the process $D_s\to e谓_e纬$ as a function of the lower cut-off on the photon energy. With a cut-off of 10 MeV for example, we find a branching ratio of Br$(E_纬>10\,\mathrm{MeV})=4.4(3)\times 10^{-6}$ which, unlike some model calculations, is consistent with the upper bound from the BESIII experiment Br$(E_纬>10\,\mathrm{MeV})<1.3\times 10^{-4}$ at 90% confidence level. Even for photon energies as low as 10 MeV, the decay $D_s\to e谓_e纬$ is dominated by the structure-dependent contribution to the amplitude (unlike the decays with $\ell=渭$ or $蟿$), confirming its value in searches for hypothetical new physics as well as in determining the Cabibbo-Kobayashi-Maskawa (CKM) parameters at $O(伪_\mathrm{em})$, where $伪_{\mathrm{em}}$ is the fine-structure constant. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.05904v1-abstract-full').style.display = 'none'; document.getElementById('2306.05904v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">31 pages, 14 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2301.00796">arXiv:2301.00796</a> <span> [<a href="https://arxiv.org/pdf/2301.00796">pdf</a>, <a href="https://arxiv.org/format/2301.00796">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Direct lattice calculation of inclusive hadronic decay rates of the $蟿$ lepton </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Evangelista%2C+A">Antonio Evangelista</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">Giuseppe Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">Vittorio Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">Nazario Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2301.00796v1-abstract-short" style="display: inline;"> The inclusive hadronic decay-rates of the $蟿$ lepton are particularly interesting from the phenomenological point of view since they give access to the CKM matrix elements $V_{ud}$ and $V_{us}$. In this talk, we discuss how a recent method for the extraction of smeared spectral densities from Euclidean lattice correlators can be used to obtain a direct lattice determination of inclusive hadronic… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2301.00796v1-abstract-full').style.display = 'inline'; document.getElementById('2301.00796v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2301.00796v1-abstract-full" style="display: none;"> The inclusive hadronic decay-rates of the $蟿$ lepton are particularly interesting from the phenomenological point of view since they give access to the CKM matrix elements $V_{ud}$ and $V_{us}$. In this talk, we discuss how a recent method for the extraction of smeared spectral densities from Euclidean lattice correlators can be used to obtain a direct lattice determination of inclusive hadronic $蟿$ decay rates. We also present preliminary numerical results obtained by applying this method to correlators measured on two gauge ensembles produced by the ETMC with $N_f=2+1+1$ dynamical flavours at physical pion masses, lattice spacing $a\simeq 0.08$ fm and volumes $L\simeq 5.1$ fm and $L\simeq 7.6$ fm. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2301.00796v1-abstract-full').style.display = 'none'; document.getElementById('2301.00796v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 January, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 4 figures, Contribution to the 39th International Symposium on Lattice Field Theory (Lattice2022), 8th-13th August, 2022, Bonn, Germany</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2212.12493">arXiv:2212.12493</a> <span> [<a href="https://arxiv.org/pdf/2212.12493">pdf</a>, <a href="https://arxiv.org/format/2212.12493">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Lattice calculation of the R-ratio smeared with Gaussian kernel </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=De+Santis%2C+A">Alessandro De Santis</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">Giuseppe Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">Kyriakos Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">Vittorio Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">Marcus Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">Nazario Tantalo</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">Urs Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2212.12493v1-abstract-short" style="display: inline;"> The ratio $R(E)$ of the cross-sections for $e^+e^-\to$ hadrons and $e^+e^-\to 渭^+渭^-$ is a valuable energy-dependent probe of the hadronic sector of the Standard Model. Moreover, the experimental measurements of $R(E)$ are the inputs of the dispersive calculations of the leading hadronic vacuum polarization contribution to the muon $g-2$ and these are in significant tension with direct lattice cal… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.12493v1-abstract-full').style.display = 'inline'; document.getElementById('2212.12493v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.12493v1-abstract-full" style="display: none;"> The ratio $R(E)$ of the cross-sections for $e^+e^-\to$ hadrons and $e^+e^-\to 渭^+渭^-$ is a valuable energy-dependent probe of the hadronic sector of the Standard Model. Moreover, the experimental measurements of $R(E)$ are the inputs of the dispersive calculations of the leading hadronic vacuum polarization contribution to the muon $g-2$ and these are in significant tension with direct lattice calculations and with the muon $g-2$ experiment. In this talk we discuss the results of our first-principles lattice study of $R(E)$. By using a recently proposed method for extracting smeared spectral densities from Euclidean lattice correlators, we have calculated $R(E)$ convoluted with Gaussian kernels of different widths $蟽$ and central energies up to $2.5$ GeV. Our theoretical results have been compared with the KNT19 [1] compilation of experimental results smeared with the same Gaussian kernels and a tension (about three standard deviations) has been observed for $蟽\sim 600$ MeV and central energies around the $蟻$-resonance peak. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.12493v1-abstract-full').style.display = 'none'; document.getElementById('2212.12493v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Contribution to the 39th International Symposium on Lattice Field Theory (Lattice2022), 8th-13th August, 2022, Bonn, Germany</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2212.10490">arXiv:2212.10490</a> <span> [<a href="https://arxiv.org/pdf/2212.10490">pdf</a>, <a href="https://arxiv.org/format/2212.10490">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Short \& intermediate distance HVP contributions to muon g-2: SM (lattice) prediction versus $e^+e^-$ annihilation data </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">Giuseppe Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">Kyriakos Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">Vittorio Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">Marcus Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">Urs Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2212.10490v1-abstract-short" style="display: inline;"> We present new lattice results of the ETM Collaboration, obtained from extensive simulations of lattice QCD with dynamical up, down, strange and charm quarks at physical mass values, different volumes and lattice spacings, concerning the SM prediction for the so-called intermediate window (W) and short-distance (SD) contributions to the leading order hadronic vacuum polarization (LO-HVP) term of t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.10490v1-abstract-full').style.display = 'inline'; document.getElementById('2212.10490v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.10490v1-abstract-full" style="display: none;"> We present new lattice results of the ETM Collaboration, obtained from extensive simulations of lattice QCD with dynamical up, down, strange and charm quarks at physical mass values, different volumes and lattice spacings, concerning the SM prediction for the so-called intermediate window (W) and short-distance (SD) contributions to the leading order hadronic vacuum polarization (LO-HVP) term of the muon anomalous magnetic moment, $a_渭$. Results for $a_渭^{\rm LO-HVP,W}$ and $a_渭^{\rm LO-HVP,SD}$, besides representing a step forward to a complete lattice computation of $a_渭^{\rm LO-HVP}$ and a useful benchmark among lattice groups, are compared here with their dispersive counterparts based on experimental data for $e^+e^-$ into hadrons. The comparison confirms the tension in $a_渭^{\rm LO-HVP,W}$, already noted in 2020 by the BMW Collaboration, while showing no tension in $a_渭^{\rm LO-HVP,SD}$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.10490v1-abstract-full').style.display = 'none'; document.getElementById('2212.10490v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Talk given at ICHEP 2022 (6-13 July 2022, Bologna - Italy) - Results here are almost final - Contribution accepted for publication on PoS</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2212.09340">arXiv:2212.09340</a> <span> [<a href="https://arxiv.org/pdf/2212.09340">pdf</a>, <a href="https://arxiv.org/format/2212.09340">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Time windows of the muon HVP from twisted-mass lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">M. Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2212.09340v1-abstract-short" style="display: inline;"> We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, $a_渭^{\rm HVP}$, in the so-called short and intermediate time-distance windows, $a_渭^{\rm SD}$ and $a_渭^{\rm W}$. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavours of Wilson-clover twisted-m… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.09340v1-abstract-full').style.display = 'inline'; document.getElementById('2212.09340v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.09340v1-abstract-full" style="display: none;"> We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, $a_渭^{\rm HVP}$, in the so-called short and intermediate time-distance windows, $a_渭^{\rm SD}$ and $a_渭^{\rm W}$. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavours of Wilson-clover twisted-mass quarks with masses of all the dynamical quark flavours tuned close to their physical values. The simulations are carried out at three values of the lattice spacing equal to $\simeq 0.057, 0.068$ and $0.080$ fm with spatial lattice sizes up to $L \simeq 7.6$~fm. For the short distance window we obtain $a_渭^{\rm SD} = 69.27\,(34) \cdot 10^{-10}$, in agreement with the dispersive determination based on experimental $e^+ e^-$ data. For the intermediate window we get instead $a_渭^{\rm W} = 236.3\,(1.3) \cdot 10^{-10}$, which is consistent with recent determinations by other lattice collaborations, but disagrees with the dispersive determination at the level of $3.6\,蟽$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.09340v1-abstract-full').style.display = 'none'; document.getElementById('2212.09340v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 4 figures, 1 table, LATTICE 2022</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2212.08467">arXiv:2212.08467</a> <span> [<a href="https://arxiv.org/pdf/2212.08467">pdf</a>, <a href="https://arxiv.org/format/2212.08467">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.130.241901">10.1103/PhysRevLett.130.241901 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Probing the energy-smeared R-ratio on the lattice </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=De+Santis%2C+A">Alessandro De Santis</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">Giuseppe Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">Kyriakos Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">Vittorio Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">Marcus Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">Nazario Tantalo</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">Urs Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2212.08467v2-abstract-short" style="display: inline;"> We present a first-principles lattice QCD investigation of the $R$-ratio between the $e^+e^-$ cross-section into hadrons and that into muons. By using the method of Ref.[1], that allows to extract smeared spectral densities from Euclidean correlators, we compute the $R$-ratio convoluted with Gaussian smearing kernels of widths of about $600$ MeV and central energies from $220$ MeV up to $2.5$ GeV.… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.08467v2-abstract-full').style.display = 'inline'; document.getElementById('2212.08467v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.08467v2-abstract-full" style="display: none;"> We present a first-principles lattice QCD investigation of the $R$-ratio between the $e^+e^-$ cross-section into hadrons and that into muons. By using the method of Ref.[1], that allows to extract smeared spectral densities from Euclidean correlators, we compute the $R$-ratio convoluted with Gaussian smearing kernels of widths of about $600$ MeV and central energies from $220$ MeV up to $2.5$ GeV. Our theoretical results are compared with the corresponding quantities obtained by smearing the KNT19 compilation [2] of $R$-ratio experimental measurements with the same kernels and, by centring the Gaussians in the region around the $蟻$-resonance peak, a tension of about three standard deviations is observed. From the phenomenological perspective, we have not included yet in our calculation QED and strong isospin-breaking corrections and this might affect the observed tension. From the methodological perspective, our calculation demonstrates that it is possible to study the $R$-ratio in Gaussian energy bins on the lattice at the level of accuracy required in order to perform precision tests of the Standard Model. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.08467v2-abstract-full').style.display = 'none'; document.getElementById('2212.08467v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 May, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 16 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Version accepted for publication on PRL. Results unchanged</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2212.07057">arXiv:2212.07057</a> <span> [<a href="https://arxiv.org/pdf/2212.07057">pdf</a>, <a href="https://arxiv.org/format/2212.07057">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Disconnected contribution to the LO HVP term of muon g-2 from ETMC </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">Giuseppe Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">Kyriakos Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">Vittorio Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">Marcus Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">Urs Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2212.07057v1-abstract-short" style="display: inline;"> We present a lattice determination of the disconnected contributions to the leading-order hadronic vacuum polarization (HVP) to the muon anomalous magnetic moment in the so-called short and intermediate time-distance windows. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavours of Wilson twisted-mass clover-improved quarks with masses… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.07057v1-abstract-full').style.display = 'inline'; document.getElementById('2212.07057v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.07057v1-abstract-full" style="display: none;"> We present a lattice determination of the disconnected contributions to the leading-order hadronic vacuum polarization (HVP) to the muon anomalous magnetic moment in the so-called short and intermediate time-distance windows. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavours of Wilson twisted-mass clover-improved quarks with masses approximately tuned to their physical value. We take the continuum limit employing three lattice spacings at about 0.08, 0.07 and 0.06 fm. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.07057v1-abstract-full').style.display = 'none'; document.getElementById('2212.07057v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 4 figures, 7 tables, LATTICE 2022</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2210.05743">arXiv:2210.05743</a> <span> [<a href="https://arxiv.org/pdf/2210.05743">pdf</a>, <a href="https://arxiv.org/format/2210.05743">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Nucleon transverse quark spin densities </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">Kyriakos Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">Giannis Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Spanoudes%2C+G">Gregoris Spanoudes</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2210.05743v1-abstract-short" style="display: inline;"> We present a calculation of the Mellin moments of the nucleon transverse quark spin densities extracted from the unpolarized and transversity generalized form factors. We use three $N_F=2+1+1$ ensembles of twisted mass fermions with quark masses tuned to their physical values and lattice spacings $a\sim 0.08$~fm, $a\sim 0.07$~fm and $a\sim 0.06$~fm and extrapolate the form factors to the continuum… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2210.05743v1-abstract-full').style.display = 'inline'; document.getElementById('2210.05743v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2210.05743v1-abstract-full" style="display: none;"> We present a calculation of the Mellin moments of the nucleon transverse quark spin densities extracted from the unpolarized and transversity generalized form factors. We use three $N_F=2+1+1$ ensembles of twisted mass fermions with quark masses tuned to their physical values and lattice spacings $a\sim 0.08$~fm, $a\sim 0.07$~fm and $a\sim 0.06$~fm and extrapolate the form factors to the continuum limit. Besides isovector densities we also include results for the tensor charge for each quark flavor using the ensemble with $a\sim 0.08$~fm for which we include the disconnected contributions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2210.05743v1-abstract-full').style.display = 'none'; document.getElementById('2210.05743v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 October, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, 6 figures, talk presented at the 39th International Symposium on Lattice Field Theory, LATTICE2022 8th-13th August, 2022, University of Bonn, Germany</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2206.15084">arXiv:2206.15084</a> <span> [<a href="https://arxiv.org/pdf/2206.15084">pdf</a>, <a href="https://arxiv.org/format/2206.15084">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.107.074506">10.1103/PhysRevD.107.074506 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">M. Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2206.15084v3-abstract-short" style="display: inline;"> We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, $a_渭^{\rm HVP}$, in the so-called short and intermediate time-distance windows, $a_渭^{\rm SD}$ and $a_渭^{\rm W}$, defined by the RBC/UKQCD Collaboration [1]. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.15084v3-abstract-full').style.display = 'inline'; document.getElementById('2206.15084v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2206.15084v3-abstract-full" style="display: none;"> We present a lattice determination of the leading-order hadronic vacuum polarization (HVP) contribution to the muon anomalous magnetic moment, $a_渭^{\rm HVP}$, in the so-called short and intermediate time-distance windows, $a_渭^{\rm SD}$ and $a_渭^{\rm W}$, defined by the RBC/UKQCD Collaboration [1]. We employ gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavors of Wilson-clover twisted-mass quarks with masses of all the dynamical quark flavors tuned close to their physical values. The simulations are carried out at three values of the lattice spacing equal to $\simeq 0.057, 0.068$ and $0.080$ fm with spatial lattice sizes up to $L \simeq 7.6$~fm. For the short distance window we obtain $a_渭^{\rm SD}({\rm ETMC}) = 69.27\,(34) \cdot 10^{-10}$, which is consistent with the recent dispersive value of $a_渭^{\rm SD}(e^+ e^-) = 68.4\,(5) \cdot 10^{-10}$ [2]. In the case of the intermediate window we get the value $a_渭^{\rm W}({\rm ETMC}) = 236.3\,(1.3) \cdot 10^{-10}$, which is consistent with the result $a_渭^{\rm W}({\rm BMW}) = 236.7\,(1.4) \cdot 10^{-10}$ [3] by the BMW collaboration as well as with the recent determination by the CLS/Mainz group of $a_渭^{\rm W}({\rm CLS}) = 237.30\,(1.46) \cdot 10^{-10}$ [4]. However, it is larger than the dispersive result of $a_渭^{\rm W}(e^+ e^-) = 229.4\,(1.4) \cdot 10^{-10}$ [2] by approximately $3.6$ standard deviations. The tension increases to approximately $4.5$ standard deviations if we average our ETMC result with those by BMW and CLS/Mainz. Our accurate lattice results in the short and intermediate windows point to a possible deviation of the $e^+ e^-$ cross section data with respect to Standard Model predictions in the low and intermediate energy regions, but not in the high energy region. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.15084v3-abstract-full').style.display = 'none'; document.getElementById('2206.15084v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 November, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 June, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">78 pages, 22 figures, 14 tables. Analysis improved with more data and fits, presentation reorganized, more material in appendices, fixed typos</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2202.11970">arXiv:2202.11970</a> <span> [<a href="https://arxiv.org/pdf/2202.11970">pdf</a>, <a href="https://arxiv.org/format/2202.11970">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.106.014502">10.1103/PhysRevD.106.014502 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Lattice calculation of the pion mass difference $M_{蟺^{+}}-M_{蟺^{0}}$ at order $\mathcal{O}(伪_{em})$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2202.11970v1-abstract-short" style="display: inline;"> We present a lattice calculation of the charged/neutral pion mass difference $M_{蟺^{+}}-M_{蟺^{0}}$ at order $\mathcal{O}(伪_{em})$ using the gauge configurations produced by the Extended Twisted Mass Collaboration with $N_{f}=2+1+1$ dynamical quark flavours at three values of the lattice spacing ($a \simeq 0.062, 0.082, 0.089~{\rm fm}$) and pion masses in the range $M_蟺 \simeq 250-500~{\rm MeV}$. W… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.11970v1-abstract-full').style.display = 'inline'; document.getElementById('2202.11970v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2202.11970v1-abstract-full" style="display: none;"> We present a lattice calculation of the charged/neutral pion mass difference $M_{蟺^{+}}-M_{蟺^{0}}$ at order $\mathcal{O}(伪_{em})$ using the gauge configurations produced by the Extended Twisted Mass Collaboration with $N_{f}=2+1+1$ dynamical quark flavours at three values of the lattice spacing ($a \simeq 0.062, 0.082, 0.089~{\rm fm}$) and pion masses in the range $M_蟺 \simeq 250-500~{\rm MeV}$. We employ the RM123 method and expand the path-integral around the isospin symmetric point at leading order in the electromagnetic coupling $伪_{em}$. Making use of the recently proposed RTM scheme, we evaluate the full $\mathcal{O}(伪_{em})$ contribution, with the inclusion of the disconnected diagram. At the physical point, after performing the continuum and infinite volume extrapolation, we obtain the value $M_{蟺^{+}}-M_{蟺^{0}}= 4.622~(95)~{\rm MeV}$ which is in good agreement with the experimental result $[ M_{蟺^{+}} - M_{蟺^{0}} ]^{exp.} = 4.5936(5)~{\rm MeV}$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.11970v1-abstract-full').style.display = 'none'; document.getElementById('2202.11970v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 24 February, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">13 pages, 5 figures, 1 table</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2202.09871">arXiv:2202.09871</a> <span> [<a href="https://arxiv.org/pdf/2202.09871">pdf</a>, <a href="https://arxiv.org/format/2202.09871">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.107.054504">10.1103/PhysRevD.107.054504 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> First moments of the nucleon transverse quark spin densities using lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">M. Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">G. Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Spanoudes%2C+G">G. Spanoudes</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2202.09871v1-abstract-short" style="display: inline;"> We present a calculation of the Mellin moments of the transverse quark spin densities in the nucleon using lattice QCD. The densities are extracted from the unpolarized and transversity generalized form factors extrapolated to the continuum limit using three $N_f=2+1+1$ twisted mass fermion gauge ensembles simulated with physical quark masses and spanning three lattice spacings. The first moment o… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.09871v1-abstract-full').style.display = 'inline'; document.getElementById('2202.09871v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2202.09871v1-abstract-full" style="display: none;"> We present a calculation of the Mellin moments of the transverse quark spin densities in the nucleon using lattice QCD. The densities are extracted from the unpolarized and transversity generalized form factors extrapolated to the continuum limit using three $N_f=2+1+1$ twisted mass fermion gauge ensembles simulated with physical quark masses and spanning three lattice spacings. The first moment of transversely polarized quarks in an unpolarized nucleon shows an interesting distortion, which can be traced back to the sharp falloff of the transversity generalized form factor $\bar{B}_{Tn0}(t)$. The isovector tensor anomalous magnetic moment is determined to be $魏_T=1.051(94)$, which confirms a negative and large Boer-Mulders function, $h_1^{\perp}$, in the nucleon. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.09871v1-abstract-full').style.display = 'none'; document.getElementById('2202.09871v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 20 February, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2022. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2201.04000">arXiv:2201.04000</a> <span> [<a href="https://arxiv.org/pdf/2201.04000">pdf</a>, <a href="https://arxiv.org/format/2201.04000">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Virtual Photon Emission in Leptonic Decays of Pseudoscalar Mesons </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Mazzetti%2C+F">F. Mazzetti</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C">C. Sachrajda</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2201.04000v1-abstract-short" style="display: inline;"> We present a preliminary non-perturbative lattice calculation of the form factors entering the processes $K\to \ell\,谓_\ell\,\ell'^+\,\ell'^-$ and of the corresponding branching ratios. These form factors describe the interaction between the mediating virtual photon and the internal hadronic structure of the meson. By separating them from the point-like contribution to the matrix element we are ab… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.04000v1-abstract-full').style.display = 'inline'; document.getElementById('2201.04000v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.04000v1-abstract-full" style="display: none;"> We present a preliminary non-perturbative lattice calculation of the form factors entering the processes $K\to \ell\,谓_\ell\,\ell'^+\,\ell'^-$ and of the corresponding branching ratios. These form factors describe the interaction between the mediating virtual photon and the internal hadronic structure of the meson. By separating them from the point-like contribution to the matrix element we are able to isolate and reconstruct the structure-dependent contribution to the decay width. Our numerical analysis employs only one gauge ensemble and so it is affected by systematic uncertainties due to the missing continuum and physical point extrapolation. Despite this, we already find a reasonable agreement with the experimental data and with the next to leading order Chiral Perturbation Theory predictions. The method is general and can be applied to any pseudoscalar meson, though for heavier mesons the possibility of internal lighter states becomes problematic and still needs a proper study. A non-perturbative, model-independent lattice evaluation of these processes would allow further progress in the theoretical predictions of SM hadronic quantities and in the search of New Physics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.04000v1-abstract-full').style.display = 'none'; document.getElementById('2201.04000v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 January, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">11 pages, 16 figures. Talk presented at the 38th International Symposium on Lattice Field Theory (Lattice 2021), 26-30 July, 2021, Zoom/Gather@Massachusetts Institute of Technology</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2201.02551">arXiv:2201.02551</a> <span> [<a href="https://arxiv.org/pdf/2201.02551">pdf</a>, <a href="https://arxiv.org/format/2201.02551">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Twisted mass gauge ensembles at physical values of the light, strange and charm quark masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">Giannis Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">Urs Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2201.02551v1-abstract-short" style="display: inline;"> Lattice QCD simulations directly at physical masses of dynamical light, strange and charm quarks are highly desirable especially to remove systematic errors due to chiral extrapolations. However such simulations are still challenging. We discuss the adaption of efficient algorithms, like multi-grid methods or higher order integrators, within the molecular dynamic steps of the Hybrid Monte Carlo al… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.02551v1-abstract-full').style.display = 'inline'; document.getElementById('2201.02551v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.02551v1-abstract-full" style="display: none;"> Lattice QCD simulations directly at physical masses of dynamical light, strange and charm quarks are highly desirable especially to remove systematic errors due to chiral extrapolations. However such simulations are still challenging. We discuss the adaption of efficient algorithms, like multi-grid methods or higher order integrators, within the molecular dynamic steps of the Hybrid Monte Carlo algorithm, that are enabling simulations of a new set of gauge ensembles by the Extended Twisted Mass collaboration (ETMC). We present the status of the on-going ETMC simulation effort that aims to enabling studies of finite size and discretization effects. We work within the twisted mass discretization which is free of odd-discretization effects at maximal twist and present our tuning procedure. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.02551v1-abstract-full').style.display = 'none'; document.getElementById('2201.02551v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 January, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">12 pages, 12 figures, The 38th International Symposium on Lattice Field Theory (LATTICE2021), 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2112.01066">arXiv:2112.01066</a> <span> [<a href="https://arxiv.org/pdf/2112.01066">pdf</a>, <a href="https://arxiv.org/format/2112.01066">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Lattice determination of the pion mass difference $M_{蟺^{+}} - M_{蟺^{0}}$ at order $\mathcal{O}(伪_{em})$ and $\mathcal{O}( (m_{d}-m_{u})^{2})$ including disconnected diagrams </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2112.01066v1-abstract-short" style="display: inline;"> We present our preliminary results concerning the charged/neutral pion mass difference $M_{蟺^{+}} - M_{蟺^{0}}$ at order $\mathcal{O}(伪_{em})$ in the QED interactions, and for $M_{蟺^{+}} - M_{蟺^{0}}$ at order $\mathcal{O}\left( (m_{d}-m_{u})^{2}\right)$ in the strong isospin-breaking term. The latter contribution provides a determination of the $\rm{SU}(2)$ chiral perturbation theory low-energy con… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.01066v1-abstract-full').style.display = 'inline'; document.getElementById('2112.01066v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2112.01066v1-abstract-full" style="display: none;"> We present our preliminary results concerning the charged/neutral pion mass difference $M_{蟺^{+}} - M_{蟺^{0}}$ at order $\mathcal{O}(伪_{em})$ in the QED interactions, and for $M_{蟺^{+}} - M_{蟺^{0}}$ at order $\mathcal{O}\left( (m_{d}-m_{u})^{2}\right)$ in the strong isospin-breaking term. The latter contribution provides a determination of the $\rm{SU}(2)$ chiral perturbation theory low-energy constant $\ell_{7}$, whose present estimate is affected by a rather large uncertainty. The disconnected contributions appearing in the diagrammatic expansion of $M_{蟺^{+}} - M_{蟺^{0}}$, being very noisy, are notoriously difficult to evaluate and have been neglected in our previous calculations. By making use of twisted mass Lattice QCD simulations and adopting the RM123 method, we will show that taking profit from our recently proposed rotated twisted-mass (RTM) scheme, tailored to improve the signal on these kinds of observables, it is possible to evaluate the disconnected diagrams with good precision. For the QED induced pion mass difference, we obtain, after performing the extrapolation towards the continuum and thermodynamic limit and at the physical point, the preliminary value $M_{蟺^{+}}-M_{蟺^{0}} = 4.622~(95)~{\rm MeV}$, that is in good agreement with the experimental result. For the determination of the low-energy constant $\ell_{7}$, our result $\ell_{7} = 2.5~(1.4)\times 10^{-3}$, which is limited so far to a single lattice spacing, is in agreement and improves phenomenological estimates. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.01066v1-abstract-full').style.display = 'none'; document.getElementById('2112.01066v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 December, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">12 pages, 6 figures. Talk presented at the 38th International Symposium on Lattice Field Theory (Lattice 2021), 26-30 July, 2021, Zoom/Gather@Massachusetts Institute of Technology</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.14710">arXiv:2111.14710</a> <span> [<a href="https://arxiv.org/pdf/2111.14710">pdf</a>, <a href="https://arxiv.org/format/2111.14710">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Gradient flow scale-setting with $N_f=2+1+1$ Wilson-clover twisted-mass fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Bergner%2C+G">Georg Bergner</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">Giannis Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Labus%2C+P">Peter Labus</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Ueding%2C+M">Martin Ueding</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">Urs Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2111.14710v1-abstract-short" style="display: inline;"> We present a determination of the gradient flow scales $w_0$, $\sqrt{t_0}$ and $t_0/w_0$ in isosymmetric QCD, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f=2+1+1$ flavours of Wilson-clover twisted-mass quarks including configurations close to the physical point for all dynamical flavours. The simulations are carried out at three values of th… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.14710v1-abstract-full').style.display = 'inline'; document.getElementById('2111.14710v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.14710v1-abstract-full" style="display: none;"> We present a determination of the gradient flow scales $w_0$, $\sqrt{t_0}$ and $t_0/w_0$ in isosymmetric QCD, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f=2+1+1$ flavours of Wilson-clover twisted-mass quarks including configurations close to the physical point for all dynamical flavours. The simulations are carried out at three values of the lattice spacing and the scale is set through the PDG value of the pion decay constant, yielding $w_0=0.17383(63)$ fm, $\sqrt{t_0}=0.14436(61)$ fm and $t_0/w_0=0.11969(62)$ fm. Finally, fixing the kaon mass to its isosymmetric value, we determine the ratio of the kaon and pion leptonic decay constants to be $f_K/f_蟺=1.1995(44)$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.14710v1-abstract-full').style.display = 'none'; document.getElementById('2111.14710v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 November, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">arXiv admin note: text overlap with arXiv:2104.06747</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.12120">arXiv:2111.12120</a> <span> [<a href="https://arxiv.org/pdf/2111.12120">pdf</a>, <a href="https://arxiv.org/format/2111.12120">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Renormalization constants of quark bilinear operators in QCD with dynamical up, down, strange and charm quarks </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Di+Carlo%2C+M">Matteo Di Carlo</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2111.12120v1-abstract-short" style="display: inline;"> We present preliminary results of a calculation of the QCD renormalization constants (RCs) for quark bilinear operators, evaluated non-perturbatively on the lattice in the RI'-MOM scheme. The calculation is performed by using dedicated ensembles with $N_f=4$ degenerate dynamical twisted mass (clover) fermions and the Iwasaki gauge action. A detailed analysis is reported, with emphasis on the contr… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.12120v1-abstract-full').style.display = 'inline'; document.getElementById('2111.12120v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.12120v1-abstract-full" style="display: none;"> We present preliminary results of a calculation of the QCD renormalization constants (RCs) for quark bilinear operators, evaluated non-perturbatively on the lattice in the RI'-MOM scheme. The calculation is performed by using dedicated ensembles with $N_f=4$ degenerate dynamical twisted mass (clover) fermions and the Iwasaki gauge action. A detailed analysis is reported, with emphasis on the control or subtraction of the hadronic contaminations occurring in the lattice estimators of RCs and a check of proper scaling with $a^2$ of the final results. Such a careful study of systematic errors is the counterpart of the high statistical precision reached by current calculations of RCs in the RI'-MOM scheme and is important in order to quote accurate results in phenomenological applications, such as the computation of quark masses. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.12120v1-abstract-full').style.display = 'none'; document.getElementById('2111.12120v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 November, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 6 figures, 3 tables. Talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> PoS(LATTICE2021)399 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2110.04588">arXiv:2110.04588</a> <span> [<a href="https://arxiv.org/pdf/2110.04588">pdf</a>, <a href="https://arxiv.org/format/2110.04588">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Determination of the light, strange and charm quark masses using twisted mass fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Bergner%2C+G">G. Bergner</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">M. Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Di+Carlo%2C+M">M. Di Carlo</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Fiorenza%2C+E">E. Fiorenza</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">G. Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Mangin-Brinet%2C+M">M. Mangin-Brinet</a>, <a href="/search/hep-lat?searchtype=author&query=Manigrasso%2C+F">F. Manigrasso</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Pittler%2C+F">F. Pittler</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G+C">G. C. Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tarantino%2C+C">C. Tarantino</a>, <a href="/search/hep-lat?searchtype=author&query=Todaro%2C+A">A. Todaro</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a> , et al. (1 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2110.04588v1-abstract-short" style="display: inline;"> We present results for the light, strange and charm quark masses using $N_f=2+1+1$ twisted mass fermion ensembles at three values of the lattice spacing, including two ensembles simulated with the physical value of the pion mass. The analysis is done both in the meson and baryon sectors. The difference in the mean values found in the two sectors is included as part of the systematic error. The pre… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2110.04588v1-abstract-full').style.display = 'inline'; document.getElementById('2110.04588v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2110.04588v1-abstract-full" style="display: none;"> We present results for the light, strange and charm quark masses using $N_f=2+1+1$ twisted mass fermion ensembles at three values of the lattice spacing, including two ensembles simulated with the physical value of the pion mass. The analysis is done both in the meson and baryon sectors. The difference in the mean values found in the two sectors is included as part of the systematic error. The presentation is based on the work of Ref. [1], where more details can be found. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2110.04588v1-abstract-full').style.display = 'none'; document.getElementById('2110.04588v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Talk presented at the 38th International Symposium on Lattice Field Theory, Lattice 2021, Zoom/Gather@Massachusetts Institute of Technology, 26-30 Jul. 2021; 8 pages, 5 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2110.01294">arXiv:2110.01294</a> <span> [<a href="https://arxiv.org/pdf/2110.01294">pdf</a>, <a href="https://arxiv.org/format/2110.01294">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> $K$- and $D_{(s)}$-meson leptonic decay constants with physical light, strange and charm quarks by ETMC </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2110.01294v1-abstract-short" style="display: inline;"> We present a lattice QCD computation and preliminary results for the leptonic decay constants of the pseudoscalar mesons $K$, $D$ and $D_{s}$ in the isosymmetric QCD limit. The computation is based on simulations of $N_f = 2+1+1$ dynamical quarks performed by the Extended Twisted Mass Collaboration (ETMC), where the light, strange and charm quark masses are all tuned at their physical values. We a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2110.01294v1-abstract-full').style.display = 'inline'; document.getElementById('2110.01294v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2110.01294v1-abstract-full" style="display: none;"> We present a lattice QCD computation and preliminary results for the leptonic decay constants of the pseudoscalar mesons $K$, $D$ and $D_{s}$ in the isosymmetric QCD limit. The computation is based on simulations of $N_f = 2+1+1$ dynamical quarks performed by the Extended Twisted Mass Collaboration (ETMC), where the light, strange and charm quark masses are all tuned at their physical values. We also present preliminary unitarity checks for the first and second rows of the Cabibbo-Kobayashi-Maskawa matrix. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2110.01294v1-abstract-full').style.display = 'none'; document.getElementById('2110.01294v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, 3 figures, 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@MIT</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> PoS(LATTICE2021)472 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2107.11895">arXiv:2107.11895</a> <span> [<a href="https://arxiv.org/pdf/2107.11895">pdf</a>, <a href="https://arxiv.org/format/2107.11895">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.104.074513">10.1103/PhysRevD.104.074513 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> First direct lattice calculation of the chiral perturbation theory low-energy constant $\ell_7$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2107.11895v1-abstract-short" style="display: inline;"> We evaluate by means of lattice QCD calculations the low-energy constant $\ell_{7}$ which parametrizes strong isospin effects at NLO in $\rm{SU}(2)$ chiral perturbation theory. Among all low-energy constants at NLO, $\ell_{7}$ is the one known less precisely, and its uncertainty is currently larger than $50\%$. Our strategy is based on the RM123 approach in which the lattice path-integral is expan… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.11895v1-abstract-full').style.display = 'inline'; document.getElementById('2107.11895v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2107.11895v1-abstract-full" style="display: none;"> We evaluate by means of lattice QCD calculations the low-energy constant $\ell_{7}$ which parametrizes strong isospin effects at NLO in $\rm{SU}(2)$ chiral perturbation theory. Among all low-energy constants at NLO, $\ell_{7}$ is the one known less precisely, and its uncertainty is currently larger than $50\%$. Our strategy is based on the RM123 approach in which the lattice path-integral is expanded in powers of the isospin breaking parameter $螖m= (m_{d}-m_{u})/2$. In order to evaluate the relevant lattice correlators we make use of the recently proposed rotated twisted-mass (RTM) scheme. Within the RM123 approach, it is possible to cleanly extract the value of $\ell_{7}$ from either the pion mass splitting $M_{蟺^{+}}-M_{蟺^{0}}$ induced by strong isospin breaking at order $\mathcal{O}\left((螖m)^{2}\right)$ (mass method), or from the coupling of the neutral pion $蟺^{0}$ to the isoscalar operator $\left(\bar{u}纬_{5}u + \bar{d}纬_{5} d\right)/\sqrt{2}$ at order $\mathcal{O}(螖m)$ (matrix element method). In this pilot study we limit the analysis to a single ensemble generated by the Extended Twisted Mass Collaboration (ETMC) with $N_{f}=2+1+1$ dynamical quark flavours, which corresponds to a lattice spacing $a\simeq 0.095~{\rm fm}$ and to a pion mass $M_蟺\simeq 260~{\rm MeV}$. We find that the matrix element method outperforms the mass method in terms of resulting statistical accuracy. Our determination, $\ell_{7} = 2.5(1.4)\times 10^{-3}$, is in agreement and improves previous calculations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.11895v1-abstract-full').style.display = 'none'; document.getElementById('2107.11895v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 July, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages, 3 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2106.07107">arXiv:2106.07107</a> <span> [<a href="https://arxiv.org/pdf/2106.07107">pdf</a>, <a href="https://arxiv.org/format/2106.07107">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1140/epja/s10050-021-00579-5">10.1140/epja/s10050-021-00579-5 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Rotated twisted-mass: a convenient regularization scheme for isospin breaking QCD and QED lattice calculations </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Gagliardi%2C+G">G. Gagliardi</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2106.07107v2-abstract-short" style="display: inline;"> We propose a scheme of lattice twisted-mass fermion regularization which is particularly convenient for application to isospin breaking (IB) QCD and QED calculations, based in particular on the so called RM123 approach, in which the IB terms of the action are treated as a perturbation. The main, practical advantage of this scheme is that it allows the calculation of IB effects on some mesonic obse… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2106.07107v2-abstract-full').style.display = 'inline'; document.getElementById('2106.07107v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2106.07107v2-abstract-full" style="display: none;"> We propose a scheme of lattice twisted-mass fermion regularization which is particularly convenient for application to isospin breaking (IB) QCD and QED calculations, based in particular on the so called RM123 approach, in which the IB terms of the action are treated as a perturbation. The main, practical advantage of this scheme is that it allows the calculation of IB effects on some mesonic observables, like e.g. the pi+ - pi0 mass splitting, using lattice correlation functions in which the quark and antiquark fields in the meson are regularized with opposite values of the Wilson parameter r. These correlation functions are found to be affected by much smaller statistical fluctuations, with respect to the analogous functions in which quark and antiquark fields are regularized with the same value of r. Two numerical application of this scheme, that we call "rotated twisted-mass", within pure QCD and QCD+QED respectively, are also provided for illustration. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2106.07107v2-abstract-full').style.display = 'none'; document.getElementById('2106.07107v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 1 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 13 June, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages, 2 figures. v2: minor corrections, references added. Matches the published version</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Eur. Phys. J. A 57, 282 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2104.13408">arXiv:2104.13408</a> <span> [<a href="https://arxiv.org/pdf/2104.13408">pdf</a>, <a href="https://arxiv.org/format/2104.13408">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.104.074515">10.1103/PhysRevD.104.074515 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Quark masses using twisted mass fermion gauge ensembles </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Bergner%2C+G">G. Bergner</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">M. Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Di+Carlo%2C+M">M. Di Carlo</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Fiorenza%2C+E">E. Fiorenza</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">G. Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Mangin-Brinet%2C+M">M. Mangin-Brinet</a>, <a href="/search/hep-lat?searchtype=author&query=Manigrasso%2C+F">F. Manigrasso</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Papadiofantous%2C+E">E. Papadiofantous</a>, <a href="/search/hep-lat?searchtype=author&query=Pittler%2C+F">F. Pittler</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G+C">G. C. Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tarantino%2C+C">C. Tarantino</a>, <a href="/search/hep-lat?searchtype=author&query=Todaro%2C+A">A. Todaro</a> , et al. (2 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2104.13408v3-abstract-short" style="display: inline;"> We present a calculation of the up, down, strange and charm quark masses performed within the lattice QCD framework. We use the twisted mass fermion action and carry out simulations that include in the sea two light mass-degenerate quarks, as well as the strange and charm quarks. In the analysis we use gauge ensembles simulated at three values of the lattice spacing and with light quarks that corr… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.13408v3-abstract-full').style.display = 'inline'; document.getElementById('2104.13408v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2104.13408v3-abstract-full" style="display: none;"> We present a calculation of the up, down, strange and charm quark masses performed within the lattice QCD framework. We use the twisted mass fermion action and carry out simulations that include in the sea two light mass-degenerate quarks, as well as the strange and charm quarks. In the analysis we use gauge ensembles simulated at three values of the lattice spacing and with light quarks that correspond to pion masses in the range from 350 MeV to the physical value, while the strange and charm quark masses are tuned approximately to their physical values. We use several quantities to set the scale in order to check for finite lattice spacing effects and in the continuum limit we get compatible results. The quark mass renormalization is carried out non-perturbatively using the RI'-MOM method converted into the $\overline{\rm MS}$ scheme. For the determination of the quark masses we use physical observables from both the meson and the baryon sectors, obtaining $m_{ud} = 3.636(66)(^{+60}_{-57})$~MeV and $m_s = 98.7(2.4)(^{+4.0}_{-3.2})$~MeV in the $\overline{\rm MS}(2\,{\rm GeV})$ scheme and $m_c = 1036(17)(^{+15}_{-8})$~MeV in the $\overline{\rm MS}(3\,{\rm GeV})$ scheme, where the first errors are statistical and the second ones are combinations of systematic errors. For the quark mass ratios we get $m_s / m_{ud} = 27.17(32)(^{+56}_{-38})$ and $m_c / m_s = 11.48(12)(^{+25}_{-19})$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.13408v3-abstract-full').style.display = 'none'; document.getElementById('2104.13408v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 27 April, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">37 pages, 23 figures, 24 tables. One reference added</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2104.06747">arXiv:2104.06747</a> <span> [<a href="https://arxiv.org/pdf/2104.06747">pdf</a>, <a href="https://arxiv.org/format/2104.06747">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.104.074520">10.1103/PhysRevD.104.074520 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Ratio of kaon and pion leptonic decay constants with $N_f = 2 + 1 + 1$ Wilson-clover twisted-mass fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Bergner%2C+G">G. Bergner</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">G. Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Labus%2C+P">P. Labus</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Ueding%2C+M">M. Ueding</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2104.06747v3-abstract-short" style="display: inline;"> We present a determination of the ratio of kaon and pion leptonic decay constants in isosymmetric QCD (isoQCD), $f_K / f_蟺$, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavors of Wilson-clover twisted-mass quarks, including configurations close to the physical point for all dynamical flavors. The simulations are carried out a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.06747v3-abstract-full').style.display = 'inline'; document.getElementById('2104.06747v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2104.06747v3-abstract-full" style="display: none;"> We present a determination of the ratio of kaon and pion leptonic decay constants in isosymmetric QCD (isoQCD), $f_K / f_蟺$, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ flavors of Wilson-clover twisted-mass quarks, including configurations close to the physical point for all dynamical flavors. The simulations are carried out at three values of the lattice spacing ranging from $\sim 0.068$ to $\sim 0.092$ fm with linear lattice size up to $L \sim 5.5$~fm. The scale is set by the PDG value of the pion decay constant, $f_蟺^{isoQCD} = 130.4~(2)$ MeV, at the isoQCD pion point, $M_蟺^{isoQCD} = 135.0~(2)$ MeV, obtaining for the gradient-flow (GF) scales the values $w_0 = 0.17383~(63)$ fm, $\sqrt{t_0} = 0.14436~(61)$ fm and $t_0 / w_0 = 0.11969~(62)$ fm. The data are analyzed within the framework of SU(2) Chiral Perturbation Theory (ChPT) without resorting to the use of renormalized quark masses. At the isoQCD kaon point $M_K^{isoQCD} = 494.2~(4)$ MeV we get $(f_K / f_蟺)^{isoQCD} = 1.1995~(44)$, where the error includes both statistical and systematic uncertainties. Implications for the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $|V_{us}|$ and for the first-row CKM unitarity are discussed. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.06747v3-abstract-full').style.display = 'none'; document.getElementById('2104.06747v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 3 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 14 April, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">68 pages, 14 figures, 12 tables. Version to appear in PRD</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2012.02120">arXiv:2012.02120</a> <span> [<a href="https://arxiv.org/pdf/2012.02120">pdf</a>, <a href="https://arxiv.org/format/2012.02120">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.103.053005">10.1103/PhysRevD.103.053005 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Comparison of lattice QCD+QED predictions for radiative leptonic decays of light mesons with experimental data </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">C. T. Sachrajda</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2012.02120v2-abstract-short" style="display: inline;"> We present a comparison of existing experimental data for the radiative leptonic decays $P\to\ell谓_\ell纬$, where $P=K$ or $蟺$ and $\ell=e$ or $渭$, from the KLOE, PIBETA, E787, ISTRA+ and OKA collaborations with theoretical predictions based on the recent non-perturbative determinations of the structure-dependent vector and axial-vector form factors, $F_V$ and $F_A$ respectively. These were obtaine… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2012.02120v2-abstract-full').style.display = 'inline'; document.getElementById('2012.02120v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2012.02120v2-abstract-full" style="display: none;"> We present a comparison of existing experimental data for the radiative leptonic decays $P\to\ell谓_\ell纬$, where $P=K$ or $蟺$ and $\ell=e$ or $渭$, from the KLOE, PIBETA, E787, ISTRA+ and OKA collaborations with theoretical predictions based on the recent non-perturbative determinations of the structure-dependent vector and axial-vector form factors, $F_V$ and $F_A$ respectively. These were obtained using lattice QCD+QED simulations at order $O(伪_{\mathrm{em}})$ in the electromagnetic coupling. We find good agreement with the KLOE data on $K\to e谓_e纬$ decays from which the form factor $F^+=F_V+F_A$ can be determined. For $K\to渭谓_渭纬$ decays we observe differences of up to 3\,-\,4 standard deviations at large photon energies between the theoretical predictions and the data from the E787, ISTRA+ and OKA experiments and similar discrepancies in some kinematical regions with the PIBETA experiment on radiative pion decays. A global study of all the kaon-decay data within the Standard Model results in a poor fit, largely because at large photon energies the KLOE and E787 data cannot be reproduced simultaneously in terms of the same form factor $F^+$. The discrepancy between the theoretical and experimental values of the form factor $F^-=F_V-F_A$ is even more pronounced. These observations motivate future improvements of both the theoretical and experimental determinations of the structure-dependent form factors $F^+$ and $F^-$, as well as further theoretical investigations of models of "new physics" which might for example, include possible flavor changing interactions beyond $V - A$ and/or non-universal corrections to the lepton couplings. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2012.02120v2-abstract-full').style.display = 'none'; document.getElementById('2012.02120v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 17 February, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 3 December, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2020. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">31 pages, 8 figures, 11 tables. Version to appear in Phys. Rev. D</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 103, 053005 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2006.05358">arXiv:2006.05358</a> <span> [<a href="https://arxiv.org/pdf/2006.05358">pdf</a>, <a href="https://arxiv.org/format/2006.05358">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.103.014502">10.1103/PhysRevD.103.014502 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> First lattice calculation of radiative leptonic decay rates of pseudoscalar mesons </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Desiderio%2C+A">A. Desiderio</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Giusti%2C+D">D. Giusti</a>, <a href="/search/hep-lat?searchtype=author&query=Hansen%2C+M">M. Hansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">C. T. Sachrajda</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2006.05358v1-abstract-short" style="display: inline;"> We present a non-perturbative lattice calculation of the form factors which contribute to the amplitudes for the radiative decays $P\to \ell \bar 谓_\ell 纬$, where $P$ is a pseudoscalar meson and $\ell$ is a charged lepton. Together with the non-perturbative determination of the corrections to the processes $P\to \ell \bar 谓_\ell$ due to the exchange of a virtual photon, this allows accurate predic… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2006.05358v1-abstract-full').style.display = 'inline'; document.getElementById('2006.05358v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2006.05358v1-abstract-full" style="display: none;"> We present a non-perturbative lattice calculation of the form factors which contribute to the amplitudes for the radiative decays $P\to \ell \bar 谓_\ell 纬$, where $P$ is a pseudoscalar meson and $\ell$ is a charged lepton. Together with the non-perturbative determination of the corrections to the processes $P\to \ell \bar 谓_\ell$ due to the exchange of a virtual photon, this allows accurate predictions at $O(伪_{em})$ to be made for leptonic decay rates for pseudoscalar mesons ranging from the pion to the $D_s$ meson. We are able to separate unambiguously and non-pertubatively the point-like contribution, from the structure-dependent, infrared-safe, terms in the amplitude. The fully non-perturbative $O(a)$ improved calculation of the inclusive leptonic decay rates will lead to the determination of the corresponding Cabibbo-Kobayashi-Maskawa (CKM) matrix elements also at $O(伪_{em})$. Prospects for a precise evaluation of leptonic decay rates with emission of a hard photon are also very interesting, especially for the decays of heavy $D$ and $B$ mesons for which currently only model-dependent predictions are available to compare with existing experimental data. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2006.05358v1-abstract-full').style.display = 'none'; document.getElementById('2006.05358v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 June, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2020. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">46 pages, 12 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 103, 014502 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2001.09116">arXiv:2001.09116</a> <span> [<a href="https://arxiv.org/pdf/2001.09116">pdf</a>, <a href="https://arxiv.org/format/2001.09116">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Quark masses and decay constants in $N_f=2+1+1$ isoQCD with Wilson clover twisted mass fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Extended+Twisted+Mass+Collaboration"> Extended Twisted Mass Collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Bergner%2C+G">Georg Bergner</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Fiorenza%2C+E">Enrico Fiorenza</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">Urs Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2001.09116v2-abstract-short" style="display: inline;"> We present a preliminary study of the pion, kaon and D-meson masses and decay constants in isosymmetric QCD, as well as a preliminary result for the light-quark renormalized mass. The analysis is based on the gauge ensembles produced by ETMC with $N_f=2+1+1$ flavours of Wilson-clover twisted mass quarks, spanning a range of lattice spacings from $\sim0.10$ to $0.07$ fm and include configurations a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2001.09116v2-abstract-full').style.display = 'inline'; document.getElementById('2001.09116v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2001.09116v2-abstract-full" style="display: none;"> We present a preliminary study of the pion, kaon and D-meson masses and decay constants in isosymmetric QCD, as well as a preliminary result for the light-quark renormalized mass. The analysis is based on the gauge ensembles produced by ETMC with $N_f=2+1+1$ flavours of Wilson-clover twisted mass quarks, spanning a range of lattice spacings from $\sim0.10$ to $0.07$ fm and include configurations at the physical pion point on lattices with linear size up to $L~\sim~5.6$~fm <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2001.09116v2-abstract-full').style.display = 'none'; document.getElementById('2001.09116v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 February, 2020; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 24 January, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2020. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 5 figures, 37th International Symposium on Lattice Field Theory - Lattice2019, 16-22 June 2019, Wuhan, China. Extended acknowledgements</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1908.10706">arXiv:1908.10706</a> <span> [<a href="https://arxiv.org/pdf/1908.10706">pdf</a>, <a href="https://arxiv.org/format/1908.10706">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.101.034519">10.1103/PhysRevD.101.034519 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">M. Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">G. Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Lauer%2C+C">C. Lauer</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1908.10706v3-abstract-short" style="display: inline;"> We present results for the moments of nucleon isovector vector and axial generalised parton distribution functions computed within lattice QCD. Three ensembles of maximally twisted mass clover-improved fermions simulated with a physical value of the pion mass are analyzed. Two of these ensembles are generated using two degenerate light quarks. A third ensemble is used having, in addition to the li… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1908.10706v3-abstract-full').style.display = 'inline'; document.getElementById('1908.10706v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1908.10706v3-abstract-full" style="display: none;"> We present results for the moments of nucleon isovector vector and axial generalised parton distribution functions computed within lattice QCD. Three ensembles of maximally twisted mass clover-improved fermions simulated with a physical value of the pion mass are analyzed. Two of these ensembles are generated using two degenerate light quarks. A third ensemble is used having, in addition to the light quarks, strange and charm quarks in the sea. A careful analysis of the convergence to the ground state is carried out that is shown to be essential for extracting the correct nucleon matrix elements. This allows a controlled determination of the unpolarised, helicity and tensor second Mellin moments. The vector and axial-vector generalised form factors are also computed as a function of the momentum transfer square up to about 1 GeV$^2$. The three ensembles allow us to check for unquenching effects and to assess lattice finite volume effects. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1908.10706v3-abstract-full').style.display = 'none'; document.getElementById('1908.10706v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 March, 2020; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 28 August, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2019. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Published version. Typos corrected, references and figures added. 22 pages, 17 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 101, 034519 (2020) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1908.10160">arXiv:1908.10160</a> <span> [<a href="https://arxiv.org/pdf/1908.10160">pdf</a>, <a href="https://arxiv.org/format/1908.10160">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Real photon emissions in leptonic decays </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=de+Divitiis%2C+G+M">G. M. de Divitiis</a>, <a href="/search/hep-lat?searchtype=author&query=Desiderio%2C+A">A. Desiderio</a>, <a href="/search/hep-lat?searchtype=author&query=Di+Carlo%2C+M">M. Di Carlo</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">M. Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Giusti%2C+D">D. Giusti</a>, <a href="/search/hep-lat?searchtype=author&query=Hansen%2C+M">M. Hansen</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Mazzetti%2C+F">F. Mazzetti</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">C. T. Sachrajda</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">N. Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1908.10160v1-abstract-short" style="display: inline;"> We present a non-perturbative calculation of the form factors which contribute to the amplitudes for the radiative decays $P\to \ell \bar 谓_\ell 纬$, where $P$ is a pseudoscalar meson and $\ell$ is a charged lepton. Together with the non-perturbative determination of the virtual photon corrections to the processes $P\to \ell \bar 谓_\ell$, this will allow accurate predictions to be made at… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1908.10160v1-abstract-full').style.display = 'inline'; document.getElementById('1908.10160v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1908.10160v1-abstract-full" style="display: none;"> We present a non-perturbative calculation of the form factors which contribute to the amplitudes for the radiative decays $P\to \ell \bar 谓_\ell 纬$, where $P$ is a pseudoscalar meson and $\ell$ is a charged lepton. Together with the non-perturbative determination of the virtual photon corrections to the processes $P\to \ell \bar 谓_\ell$, this will allow accurate predictions to be made at $O(伪_{em})$ for leptonic decay rates for pseudoscalar mesons ranging from the pion to the $B$ meson. We are able to separate unambiguously the point-like contribution, the square of which leads to the infrared divergence in the decay rate, from the structure dependent, infrared-safe, terms in the amplitude. The fully non-perturbative, $O(a)$ improved calculation of the inclusive leptonic decay rates will lead to significantly improved precision in the determination of the corresponding Cabibbo-Kobayashi-Maskawa (CKM) matrix elements. Precise predictions for the emission of a hard photon are also very interesting, especially for the decays of heavy $D$ and $B$ mesons for which currently only model-dependent predictions are available to compare with existing experimental data. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1908.10160v1-abstract-full').style.display = 'none'; document.getElementById('1908.10160v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 August, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2019. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1901.09872">arXiv:1901.09872</a> <span> [<a href="https://arxiv.org/pdf/1901.09872">pdf</a>, <a href="https://arxiv.org/format/1901.09872">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.123.061802">10.1103/PhysRevLett.123.061802 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Dynamical Generation of Elementary Fermion Mass: First Lattice Evidence </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Capitani%2C+S">Stefano Capitani</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Pittler%2C+F">Ferenc Pittler</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1901.09872v2-abstract-short" style="display: inline;"> Using lattice simulations we demonstrate from first principles the existence of a non-perturbative mechanism for elementary particle mass generation in models with gauge fields, fermions and scalars, if an exact invariance forbids power divergent fermion masses and fermionic chiral symmetries broken at UV scale are maximally restored. We show that in the Nambu-Goldstone phase a fermion mass term,… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1901.09872v2-abstract-full').style.display = 'inline'; document.getElementById('1901.09872v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1901.09872v2-abstract-full" style="display: none;"> Using lattice simulations we demonstrate from first principles the existence of a non-perturbative mechanism for elementary particle mass generation in models with gauge fields, fermions and scalars, if an exact invariance forbids power divergent fermion masses and fermionic chiral symmetries broken at UV scale are maximally restored. We show that in the Nambu-Goldstone phase a fermion mass term, unrelated to the Yukawa operator, is dynamically generated. In models with electro-weak interactions weak boson masses are also generated opening new scenarios for beyond the Standard Model physics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1901.09872v2-abstract-full').style.display = 'none'; document.getElementById('1901.09872v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 August, 2019; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 28 January, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2019. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">24 pages, 17 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 123, 061802 (2019) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1811.10327">arXiv:1811.10327</a> <span> [<a href="https://arxiv.org/pdf/1811.10327">pdf</a>, <a href="https://arxiv.org/format/1811.10327">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> </div> <p class="title is-5 mathjax"> Non-perturbative generation of elementary fermion masses: a numerical study </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Capitani%2C+S">Stefano Capitani</a>, <a href="/search/hep-lat?searchtype=author&query=de+Divitiis%2C+G+M">Giulia Maria de Divitiis</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Pittler%2C+F">Ferenc Pittler</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1811.10327v1-abstract-short" style="display: inline;"> In this talk we present a numerical lattice study of an SU(3) gauge model where an SU(2) doublet of non-Abelian strongly interacting fermions is coupled to a complex scalar field doublet via a Yukawa and a Wilson-like term. The model enjoys an exact symmetry, acting on all fields, which prevents UV power divergent fermion mass corrections, despite the presence of these two chiral breaking operator… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1811.10327v1-abstract-full').style.display = 'inline'; document.getElementById('1811.10327v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1811.10327v1-abstract-full" style="display: none;"> In this talk we present a numerical lattice study of an SU(3) gauge model where an SU(2) doublet of non-Abelian strongly interacting fermions is coupled to a complex scalar field doublet via a Yukawa and a Wilson-like term. The model enjoys an exact symmetry, acting on all fields, which prevents UV power divergent fermion mass corrections, despite the presence of these two chiral breaking operators in the Lagrangian. In the phase where the scalar potential is non-degenerate and fermions are massless, the bare Yukawa coupling can be set at a critical value at which chiral fermion transformations become symmetries of the theory. Numerical simulations in the Nambu-Goldstone phase of the critical theory, for which the renormalized Yukawa coupling by construction vanishes, give evidence for non-perturbative generation of a UV finite fermion mass term in the effective action. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1811.10327v1-abstract-full').style.display = 'none'; document.getElementById('1811.10327v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 November, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2018. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 8 figures, Proceedings of The 36th Annual International Symposium on Lattice Field Theory, July 22-28, 2018, East Lansing, Michigan, USA</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1811.10326">arXiv:1811.10326</a> <span> [<a href="https://arxiv.org/pdf/1811.10326">pdf</a>, <a href="https://arxiv.org/format/1811.10326">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> </div> <p class="title is-5 mathjax"> Towards models with a unified dynamical mechanism for elementary particle masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1811.10326v1-abstract-short" style="display: inline;"> Numerical evidence for a new dynamical mechanism of elementary particle mass generation has been found by lattice simulation in a simple, yet highly non-trivial SU(3) gauge model where a SU(2) doublet of strongly interacting fermions is coupled to a complex scalar field doublet via a Yukawa and a Wilson-like term. We point out that if, as a next step towards the construction of a realistic beyond-… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1811.10326v1-abstract-full').style.display = 'inline'; document.getElementById('1811.10326v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1811.10326v1-abstract-full" style="display: none;"> Numerical evidence for a new dynamical mechanism of elementary particle mass generation has been found by lattice simulation in a simple, yet highly non-trivial SU(3) gauge model where a SU(2) doublet of strongly interacting fermions is coupled to a complex scalar field doublet via a Yukawa and a Wilson-like term. We point out that if, as a next step towards the construction of a realistic beyond-the-Standard-Model model, weak interactions are introduced, then also weak bosons get a mass by the very same non-perturbative mechanism. In this scenario fermion mass hierarchy can be naturally understood owing to the peculiar gauge coupling dependence of the non-perturbatively generated masses. Hence, if the phenomenological value of the mass of the top quark or the weak bosons has to be reproduced, the RGI scale of the theory must be much larger than $螞_{QCD}$. This feature hints at the existence of new strong interactions and particles at a scale $螞_T$ of a few TeV. In such a speculative framework the electroweak scale can be derived from the basic scale $螞_T$ and the Higgs boson should arise as a bound state in the $WW+ZZ$ channel. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1811.10326v1-abstract-full').style.display = 'none'; document.getElementById('1811.10326v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 November, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2018. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">6 pages, 2 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1807.00495">arXiv:1807.00495</a> <span> [<a href="https://arxiv.org/pdf/1807.00495">pdf</a>, <a href="https://arxiv.org/format/1807.00495">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.98.054518">10.1103/PhysRevD.98.054518 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Simulating twisted mass fermions at physical light, strange and charm quark masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Charalambous%2C+P">Panagiotis Charalambous</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">Kyriakos Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">Giannis Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Mangin-Brinet%2C+M">Mariane Mangin-Brinet</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">Silvano Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1807.00495v1-abstract-short" style="display: inline;"> We present the QCD simulation of the first gauge ensemble of two degenerate light quarks, a strange and a charm quark with all quark masses tuned to their physical values within the twisted mass fermion formulation. Results for the pseudoscalar masses and decay constants confirm that the produced ensemble is indeed at the physical parameters of the theory. This conclusion is corroborated by a comp… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1807.00495v1-abstract-full').style.display = 'inline'; document.getElementById('1807.00495v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1807.00495v1-abstract-full" style="display: none;"> We present the QCD simulation of the first gauge ensemble of two degenerate light quarks, a strange and a charm quark with all quark masses tuned to their physical values within the twisted mass fermion formulation. Results for the pseudoscalar masses and decay constants confirm that the produced ensemble is indeed at the physical parameters of the theory. This conclusion is corroborated by a complementary analysis in the baryon sector. We examine cutoff and isospin breaking effects and demonstrate that they are suppressed through the presence of a clover term in the action. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1807.00495v1-abstract-full').style.display = 'none'; document.getElementById('1807.00495v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 July, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2018. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">26 pages, 9 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 98, 054518 (2018) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1712.09824">arXiv:1712.09824</a> <span> [<a href="https://arxiv.org/pdf/1712.09824">pdf</a>, <a href="https://arxiv.org/format/1712.09824">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.97.074501">10.1103/PhysRevD.97.074501 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> $K \to 蟺$ matrix elements of the chromomagnetic operator on the lattice </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">M. Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Costa%2C+M">M. Costa</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">G. Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Meloni%2C+D">D. Meloni</a>, <a href="/search/hep-lat?searchtype=author&query=Panagopoulos%2C+H">H. Panagopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1712.09824v2-abstract-short" style="display: inline;"> We present the results of the first lattice QCD calculation of the $K \to 蟺$ matrix elements of the chromomagnetic operator $O_{CM} = g\, \bar s\, 蟽_{渭谓} G_{渭谓} d$, which appears in the effective Hamiltonian describing $螖S = 1$ transitions in and beyond the Standard Model. Having dimension 5, the chromomagnetic operator is characterized by a rich pattern of mixing with operators of equal and lower… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1712.09824v2-abstract-full').style.display = 'inline'; document.getElementById('1712.09824v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1712.09824v2-abstract-full" style="display: none;"> We present the results of the first lattice QCD calculation of the $K \to 蟺$ matrix elements of the chromomagnetic operator $O_{CM} = g\, \bar s\, 蟽_{渭谓} G_{渭谓} d$, which appears in the effective Hamiltonian describing $螖S = 1$ transitions in and beyond the Standard Model. Having dimension 5, the chromomagnetic operator is characterized by a rich pattern of mixing with operators of equal and lower dimensionality. The multiplicative renormalization factor as well as the mixing coefficients with the operators of equal dimension have been computed at one loop in perturbation theory. The power divergent coefficients controlling the mixing with operators of lower dimension have been determined non-perturbatively, by imposing suitable subtraction conditions. The numerical simulations have been carried out using the gauge field configurations produced by the European Twisted Mass Collaboration with $N_f = 2+1+1$ dynamical quarks at three values of the lattice spacing. Our result for the B-parameter of the chromomagnetic operator at the physical pion and kaon point is $B_{CMO}^{K 蟺} = 0.273 ~ (70)$, while in the SU(3) chiral limit we obtain $B_{CMO} = 0.072 ~ (22)$. Our findings are significantly smaller than the model-dependent estimate $B_{CMO} \sim 1 - 4$, currently used in phenomenological analyses, and improve the uncertainty on this important phenomenological quantity. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1712.09824v2-abstract-full').style.display = 'none'; document.getElementById('1712.09824v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 March, 2018; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 28 December, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">20 pages, 4 figures, 2 table. Refined SU(3) ChPT analysis with no changes in the final result. Version to appear in PRD</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 97, 074501 (2018) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1712.09579">arXiv:1712.09579</a> <span> [<a href="https://arxiv.org/pdf/1712.09579">pdf</a>, <a href="https://arxiv.org/ps/1712.09579">ps</a>, <a href="https://arxiv.org/format/1712.09579">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1051/epjconf/201817502003">10.1051/epjconf/201817502003 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Simulation of an ensemble of $N_f=2+1+1$ twisted mass clover-improved fermions at physical quark masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">Jacob Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">Constantia Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">Simone Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Charalambous%2C+P">Panagiotis Charalambous</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">Karl Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1712.09579v1-abstract-short" style="display: inline;"> We present a general strategy aimed at generating $N_f=2+1+1$ configurations with quarks at their physical mass using maximally twisted mass fermions to ensure automatic $O(a)$ improvement, in the presence of a clover term tuned to reduce the charged to neutral pion mass difference. The target system, for the moment, is a lattice of size $64^3 \times 128$ with a lattice spacing $a\sim 0.08$ fm. We… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1712.09579v1-abstract-full').style.display = 'inline'; document.getElementById('1712.09579v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1712.09579v1-abstract-full" style="display: none;"> We present a general strategy aimed at generating $N_f=2+1+1$ configurations with quarks at their physical mass using maximally twisted mass fermions to ensure automatic $O(a)$ improvement, in the presence of a clover term tuned to reduce the charged to neutral pion mass difference. The target system, for the moment, is a lattice of size $64^3 \times 128$ with a lattice spacing $a\sim 0.08$ fm. We show preliminary results on the pion and kaon mass and decay constants. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1712.09579v1-abstract-full').style.display = 'none'; document.getElementById('1712.09579v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 December, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages, 12 figures; Proceedings of the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> DESY 17-165 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.10956">arXiv:1710.10956</a> <span> [<a href="https://arxiv.org/pdf/1710.10956">pdf</a>, <a href="https://arxiv.org/format/1710.10956">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1051/epjconf/201817508009">10.1051/epjconf/201817508009 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Testing a non-perturbative mechanism for elementary fermion mass generation: lattice setup </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Capitani%2C+S">Stefano Capitani</a>, <a href="/search/hep-lat?searchtype=author&query=de+Divitiis%2C+G+M">Giulia Maria de Divitiis</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Knippschild%2C+B">Bastian Knippschild</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Pittler%2C+F">Ferenc Pittler</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1710.10956v1-abstract-short" style="display: inline;"> In this contribution we lay down a lattice setup that allows for the non-perturbative study of a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an "irrelevant" Wilson-like term. Using naive fermions in quenched approximation and based on the renormalized Ward identities induced b… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.10956v1-abstract-full').style.display = 'inline'; document.getElementById('1710.10956v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.10956v1-abstract-full" style="display: none;"> In this contribution we lay down a lattice setup that allows for the non-perturbative study of a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an "irrelevant" Wilson-like term. Using naive fermions in quenched approximation and based on the renormalized Ward identities induced by purely fermionic chiral transformations, lattice observables are discussed that enable: a) in the Wigner phase, the determinations of the critical Yukawa coupling value where the purely fermionic chiral transformation become a symmetry up to lattice artifacts; b) in the Nambu-Goldstone phase of the resulting critical theory, a stringent test of the actual generation of a fermion mass term of non-perturbative origin. A soft twisted fermion mass term is introduced to circumvent the problem of exceptional configurations, and observables are then calculated in the limit of vanishing twisted mass. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.10956v1-abstract-full').style.display = 'none'; document.getElementById('1710.10956v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages, 2 figures; Proceedings of the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain. arXiv admin note: text overlap with arXiv:1611.03997</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.10401">arXiv:1710.10401</a> <span> [<a href="https://arxiv.org/pdf/1710.10401">pdf</a>, <a href="https://arxiv.org/format/1710.10401">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.97.014508">10.1103/PhysRevD.97.014508 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The pion vector form factor from Lattice QCD at the physical point </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Mangin-Brinet%2C+M">M. Mangin-Brinet</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">F. Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1710.10401v1-abstract-short" style="display: inline;"> We present an investigation of the electromagnetic pion form factor, $F_蟺(Q^2)$, at small values of the four-momentum transfer $Q^2$ ($\lesssim 0.25$ GeV$^2$), based on the gauge configurations generated by European Twisted Mass Collaboration with $N_f = 2$ twisted-mass quarks at maximal twist including a clover term. Momentum is injected using non-periodic boundary conditions and the calculations… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.10401v1-abstract-full').style.display = 'inline'; document.getElementById('1710.10401v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.10401v1-abstract-full" style="display: none;"> We present an investigation of the electromagnetic pion form factor, $F_蟺(Q^2)$, at small values of the four-momentum transfer $Q^2$ ($\lesssim 0.25$ GeV$^2$), based on the gauge configurations generated by European Twisted Mass Collaboration with $N_f = 2$ twisted-mass quarks at maximal twist including a clover term. Momentum is injected using non-periodic boundary conditions and the calculations are carried out at a fixed lattice spacing ($a \simeq 0.09$ fm) and with pion masses equal to its physical value, 240 MeV and 340 MeV. Our data are successfully analyzed using Chiral Perturbation Theory at next-to-leading order in the light-quark mass. For each pion mass two different lattice volumes are used to take care of finite size effects. Our final result for the squared charge radius is $\langle r^2 \rangle_蟺= 0.443~(29)$ fm$^2$, where the error includes several sources of systematic errors except the uncertainty related to discretization effects. The corresponding value of the SU(2) chiral low-energy constant $\overline{\ell}_6$ is equal to $\overline{\ell}_6 = 16.2 ~ (1.0)$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.10401v1-abstract-full').style.display = 'none'; document.getElementById('1710.10401v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">23 pages, 9 figures, 7 tables</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 97, 014508 (2018) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.10216">arXiv:1710.10216</a> <span> [<a href="https://arxiv.org/pdf/1710.10216">pdf</a>, <a href="https://arxiv.org/format/1710.10216">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1051/epjconf/201817508008">10.1051/epjconf/201817508008 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Testing a non-perturbative mechanism for elementary fermion mass generation: numerical results </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Capitani%2C+S">Stefano Capitani</a>, <a href="/search/hep-lat?searchtype=author&query=de+Divitiis%2C+G+M">Giulia Maria de Divitiis</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Knippschild%2C+B">Bastian Knippschild</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Pittler%2C+F">Ferenc Pittler</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1710.10216v1-abstract-short" style="display: inline;"> Based on a recent proposal according to which elementary particle masses could be generated by a non-perturbative dynamical phenomenon, alternative to the Higgs mechanism, we carry out lattice simulations of a model where a non-abelian strongly interacting fermion doublet is also coupled to a doublet of complex scalar fields via a Yukawa and an "irrelevant" Wilson-like term. In this pioneering stu… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.10216v1-abstract-full').style.display = 'inline'; document.getElementById('1710.10216v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.10216v1-abstract-full" style="display: none;"> Based on a recent proposal according to which elementary particle masses could be generated by a non-perturbative dynamical phenomenon, alternative to the Higgs mechanism, we carry out lattice simulations of a model where a non-abelian strongly interacting fermion doublet is also coupled to a doublet of complex scalar fields via a Yukawa and an "irrelevant" Wilson-like term. In this pioneering study we use naive fermions and work in the quenched approximation. We present preliminary numerical results both in the Wigner and in the Nambu-Goldstone phase, focusing on the observables relevant to check the occurrence of the conjectured dynamical fermion mass generation effect in the continuum limit of the critical theory in its spontaneously broken phase. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.10216v1-abstract-full').style.display = 'none'; document.getElementById('1710.10216v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">8 pages, 4 figures; Proceedings of the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1703.08788">arXiv:1703.08788</a> <span> [<a href="https://arxiv.org/pdf/1703.08788">pdf</a>, <a href="https://arxiv.org/format/1703.08788">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.96.099906">10.1103/PhysRevD.96.099906 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Nucleon scalar and tensor charges using lattice QCD simulations at the physical value of the pion mass </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">M. Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kallidonis%2C+C">C. Kallidonis</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">G. Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Mangin-Brinet%2C+M">M. Mangin-Brinet</a>, <a href="/search/hep-lat?searchtype=author&query=Avil%C3%A8s-Casco%2C+A+V">A. Vaquero Avil猫s-Casco</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1703.08788v3-abstract-short" style="display: inline;"> We present results on the light, strange and charm nucleon scalar and tensor charges from lattice QCD, using simulations with $N_f=2$ flavors of twisted mass Clover-improved fermions with a physical value of the pion mass. Both connected and disconnected contributions are included, enabling us to extract the isoscalar, strange and charm charges for the first time directly at the physical point. Fu… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1703.08788v3-abstract-full').style.display = 'inline'; document.getElementById('1703.08788v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1703.08788v3-abstract-full" style="display: none;"> We present results on the light, strange and charm nucleon scalar and tensor charges from lattice QCD, using simulations with $N_f=2$ flavors of twisted mass Clover-improved fermions with a physical value of the pion mass. Both connected and disconnected contributions are included, enabling us to extract the isoscalar, strange and charm charges for the first time directly at the physical point. Furthermore, the renormalization is computed non-perturbatively for both isovector and isoscalar quantities. We investigate excited state effects by analyzing several sink-source time separations and by employing a set of methods to probe ground state dominance. Our final results for the scalar charges are $g_S^u = 5.20(42)(15)(12)$, $g_S^d = 4.27(26)(15)(12)$, $g_S^s=0.33(7)(1)(4)$, $g_S^c=0.062(13)(3)(5)$ and for the tensor charges $g_T^u = 0.782(16)(2)(13)$, $g_T^d = -0.219(10)(2)(13)$, $g_T^s=-0.00319(69)(2)(22)$, $g_T^c=-0.00263(269)(2)(37)$ in the $\overline{\rm MS}$ scheme at 2~GeV. The first error is statistical, the second is the systematic error due to the renormalization and the third the systematic arising from possible contamination due to the excited states. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1703.08788v3-abstract-full').style.display = 'none'; document.getElementById('1703.08788v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 31 August, 2018; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 26 March, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">20 pages and 13 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 96, 099906 (2017) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1701.08961">arXiv:1701.08961</a> <span> [<a href="https://arxiv.org/pdf/1701.08961">pdf</a>, <a href="https://arxiv.org/format/1701.08961">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Isospin-0 $蟺蟺$ scattering from twisted mass lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Liu%2C+L">L. Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Helmes%2C+C">C. Helmes</a>, <a href="/search/hep-lat?searchtype=author&query=Jost%2C+C">C. Jost</a>, <a href="/search/hep-lat?searchtype=author&query=Knippschild%2C+B">B. Knippschild</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+H">H. Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Ottnad%2C+K">K. Ottnad</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">M. Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Werner%2C+M">M. Werner</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1701.08961v1-abstract-short" style="display: inline;"> We present results for the isospin-0 $蟺蟺$ s-wave scattering length calculated in twisted mass lattice QCD. We use three $N_f = 2$ ensembles with unitary pion mass at its physical value, 240~MeV and 330~MeV respectively. We also use a large set of $N_f = 2 + 1 +1$ ensembles with unitary pion masses varying in the range of 230~MeV - 510~MeV at three different values of the lattice spacing. A mixed a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1701.08961v1-abstract-full').style.display = 'inline'; document.getElementById('1701.08961v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1701.08961v1-abstract-full" style="display: none;"> We present results for the isospin-0 $蟺蟺$ s-wave scattering length calculated in twisted mass lattice QCD. We use three $N_f = 2$ ensembles with unitary pion mass at its physical value, 240~MeV and 330~MeV respectively. We also use a large set of $N_f = 2 + 1 +1$ ensembles with unitary pion masses varying in the range of 230~MeV - 510~MeV at three different values of the lattice spacing. A mixed action approach with the Osterwalder-Seiler action in the valence sector is adopted to circumvent the complications arising from isospin symmetry breaking of the twisted mass quark action. Due to the relatively large lattice artefacts in the $N_f = 2 + 1 +1$ ensembles, we do not present the scattering lengths for these ensembles. Instead, taking the advantage of the many different pion masses of these ensembles, we qualitatively discuss the pion mass dependence of the scattering properties of this channel based on the results from the $N_f = 2 + 1 +1$ ensembles. The scattering length is computed for the $N_f = 2$ ensembles and the chiral extrapolation is performed. At the physical pion mass, our result $M_蟺a^\mathrm{I=0}_0 = 0.198(9)(6)$ agrees reasonably well with various experimental measurements and theoretical predictions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1701.08961v1-abstract-full').style.display = 'none'; document.getElementById('1701.08961v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 31 January, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2017. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 2 figures, talk presented at the 34th annual International Symposium on Lattice Field Theory (Lattice2016), 24-30 July 2016, University of Southampton, UK</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1612.02265">arXiv:1612.02265</a> <span> [<a href="https://arxiv.org/pdf/1612.02265">pdf</a>, <a href="https://arxiv.org/ps/1612.02265">ps</a>, <a href="https://arxiv.org/format/1612.02265">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> </div> <p class="title is-5 mathjax"> Sea quark QED effects and twisted mass fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Tantalo%2C+N">Nazario Tantalo</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1612.02265v1-abstract-short" style="display: inline;"> We show that maximally twisted mass fermions can be employed to regularize on the lattice the fully unquenched QCD+QED theory with vanishing $胃$-term. We discuss how the critical mass of the up and down quarks can be conveniently determined beyond the electroquenched approximation by imposing that certain symmetries of continuum QCD+QED, which are broken by Wilson terms, get restored in the contin… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1612.02265v1-abstract-full').style.display = 'inline'; document.getElementById('1612.02265v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1612.02265v1-abstract-full" style="display: none;"> We show that maximally twisted mass fermions can be employed to regularize on the lattice the fully unquenched QCD+QED theory with vanishing $胃$-term. We discuss how the critical mass of the up and down quarks can be conveniently determined beyond the electroquenched approximation by imposing that certain symmetries of continuum QCD+QED, which are broken by Wilson terms, get restored in the continuum limit. A mixed action setup is outlined that allows to extend beyond the electroquenched approximation the computation (with only O($a^2$) artifacts) of the leading isospin breaking corrections to physical observables using the RM123 method and (pure QCD) ETMC gauge ensembles with $N_f=2+1+1$ dynamical quark flavours. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1612.02265v1-abstract-full').style.display = 'none'; document.getElementById('1612.02265v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 December, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2016. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1612.02061">arXiv:1612.02061</a> <span> [<a href="https://arxiv.org/pdf/1612.02061">pdf</a>, <a href="https://arxiv.org/format/1612.02061">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.96.054516">10.1103/PhysRevD.96.054516 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Isospin-0 $蟺蟺$ s-wave scattering length from twisted mass lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Liu%2C+L">L. Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Bacchio%2C+S">S. Bacchio</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Finkenrath%2C+J">J. Finkenrath</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Helmes%2C+C">C. Helmes</a>, <a href="/search/hep-lat?searchtype=author&query=Jost%2C+C">C. Jost</a>, <a href="/search/hep-lat?searchtype=author&query=Knippschild%2C+B">B. Knippschild</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+H">H. Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Ottnad%2C+K">K. Ottnad</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">M. Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Werner%2C+M">M. Werner</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1612.02061v3-abstract-short" style="display: inline;"> We present results for the isospin-0 $蟺蟺$ s-wave scattering length calculated with Osterwalder-Seiler valence quarks on Wilson twisted mass gauge configurations. We use three $N_f = 2$ ensembles with unitary (valence) pion mass at its physical value (250$\sim$MeV), at 240$\sim$MeV (320$\sim$MeV) and at 330$\sim$MeV (400$\sim$MeV), respectively. By using the stochastic Laplacian Heaviside quark sme… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1612.02061v3-abstract-full').style.display = 'inline'; document.getElementById('1612.02061v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1612.02061v3-abstract-full" style="display: none;"> We present results for the isospin-0 $蟺蟺$ s-wave scattering length calculated with Osterwalder-Seiler valence quarks on Wilson twisted mass gauge configurations. We use three $N_f = 2$ ensembles with unitary (valence) pion mass at its physical value (250$\sim$MeV), at 240$\sim$MeV (320$\sim$MeV) and at 330$\sim$MeV (400$\sim$MeV), respectively. By using the stochastic Laplacian Heaviside quark smearing method, all quark propagation diagrams contributing to the isospin-0 $蟺蟺$ correlation function are computed with sufficient precision. The chiral extrapolation is performed to obtain the scattering length at the physical pion mass. Our result $M_蟺a^\mathrm{I=0}_0 = 0.198(9)(6)$ agrees reasonably well with various experimental measurements and theoretical predictions. Since we only use one lattice spacing, certain systematics uncertainties, especially those arising from unitary breaking, are not controlled in our result. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1612.02061v3-abstract-full').style.display = 'none'; document.getElementById('1612.02061v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 3 October, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 6 December, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">21 pages, 5 figures, 6 tables</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 96, 054516 (2017) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1611.03997">arXiv:1611.03997</a> <span> [<a href="https://arxiv.org/pdf/1611.03997">pdf</a>, <a href="https://arxiv.org/format/1611.03997">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> </div> <p class="title is-5 mathjax"> Check of a new non-perturbative mechanism for elementary fermion mass generation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Capitani%2C+S">Stefano Capitani</a>, <a href="/search/hep-lat?searchtype=author&query=De+Divitiis%2C+G+M">Giulia Maria De Divitiis</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">Petros Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">Roberto Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Garofalo%2C+M">Marco Garofalo</a>, <a href="/search/hep-lat?searchtype=author&query=Knippschild%2C+B">Bastian Knippschild</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">Bartosz Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Ottnad%2C+K">Konstantin Ottnad</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G">Giancarlo Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Schr%C3%B6ck%2C+M">Mario Schr枚ck</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">Carsten Urbach</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1611.03997v1-abstract-short" style="display: inline;"> We consider a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an irrelevant Wilson-like term. Despite the presence of these two chiral breaking operators in the Lagrangian, an exact symmetry acting on fermions and scalars prevents perturbative mass corrections. In the phase where… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1611.03997v1-abstract-full').style.display = 'inline'; document.getElementById('1611.03997v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1611.03997v1-abstract-full" style="display: none;"> We consider a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an irrelevant Wilson-like term. Despite the presence of these two chiral breaking operators in the Lagrangian, an exact symmetry acting on fermions and scalars prevents perturbative mass corrections. In the phase where fermions are massless (Wigner phase) the Yukawa coupling can be tuned to a critical value at which chiral transformations acting on fermions only become a symmetry of the theory (up to cutoff effects). In the Nambu-Goldstone phase of the critical theory a fermion mass term of dynamical origin is expected to arise in the Ward identities of the purely fermionic chiral transformations. Such a non-perturbative mechanism of dynamical mass generation can provide a "natural" (脿 la 't Hooft) alternative to the Higgs mechanism adopted in the Standard Model. Here we lay down the theoretical framework necessary to demonstrate the existence of this mechanism by means of lattice simulations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1611.03997v1-abstract-full').style.display = 'none'; document.getElementById('1611.03997v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 November, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 3 figureres, Proceedings for The 34th International Symposium on Lattice Field Theory</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> PoS(LATTICE2016)212 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1603.04306">arXiv:1603.04306</a> <span> [<a href="https://arxiv.org/pdf/1603.04306">pdf</a>, <a href="https://arxiv.org/format/1603.04306">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.93.114505">10.1103/PhysRevD.93.114505 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Mass of the b-quark and B-decay constants from Nf=2+1+1 twisted-mass Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=ETM+Collaboration"> ETM Collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Bussone%2C+A">A. Bussone</a>, <a href="/search/hep-lat?searchtype=author&query=Carrasco%2C+N">N. Carrasco</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Lami%2C+P">P. Lami</a>, <a href="/search/hep-lat?searchtype=author&query=Lubicz%2C+V">V. Lubicz</a>, <a href="/search/hep-lat?searchtype=author&query=Picca%2C+E">E. Picca</a>, <a href="/search/hep-lat?searchtype=author&query=Riggio%2C+L">L. Riggio</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G+C">G. C. Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Simula%2C+S">S. Simula</a>, <a href="/search/hep-lat?searchtype=author&query=Tarantino%2C+C">C. Tarantino</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1603.04306v2-abstract-short" style="display: inline;"> We present precise lattice computations for the b-quark mass, the quark mass ratios mb/mc and mb/ms as well as the leptonic B-decay constants. We employ gauge configurations with four dynamical quark flavors, up/down, strange and charm, at three values of the lattice spacing (a ~ 0.06 - 0.09 fm) and for pion masses as low as 210 MeV. Interpolation in the heavy quark mass to the bottom quark point… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1603.04306v2-abstract-full').style.display = 'inline'; document.getElementById('1603.04306v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1603.04306v2-abstract-full" style="display: none;"> We present precise lattice computations for the b-quark mass, the quark mass ratios mb/mc and mb/ms as well as the leptonic B-decay constants. We employ gauge configurations with four dynamical quark flavors, up/down, strange and charm, at three values of the lattice spacing (a ~ 0.06 - 0.09 fm) and for pion masses as low as 210 MeV. Interpolation in the heavy quark mass to the bottom quark point is performed using ratios of physical quantities computed at nearby quark masses exploiting the fact that these ratios are exactly known in the static quark mass limit. Our results are also extrapolated to the physical pion mass and to the continuum limit and read: mb(MSbar, mb) = 4.26(10) GeV, mb/mc = 4.42(8), mb/ms = 51.4(1.4), fBs = 229(5) MeV, fB = 193(6) MeV, fBs/fB = 1.184(25) and (fBs/fB)/(fK/fpi) = 0.997(17). <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1603.04306v2-abstract-full').style.display = 'none'; document.getElementById('1603.04306v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 10 June, 2016; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 14 March, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Version to appear in PRD. Added comments to simulation setup and error budget discussion. 1+20 pages, 9 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 93, 114505 (2016) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1507.05068">arXiv:1507.05068</a> <span> [<a href="https://arxiv.org/pdf/1507.05068">pdf</a>, <a href="https://arxiv.org/format/1507.05068">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.95.094515">10.1103/PhysRevD.95.094515 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> First Physics Results at the Physical Pion Mass from $N_f = 2$ Wilson Twisted Mass Fermions at Maximal Twist </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=ETM+Collaboration"> ETM Collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Abdel-Rehim%2C+A">A. Abdel-Rehim</a>, <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Burger%2C+F">F. Burger</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">M. Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Helmes%2C+C">C. Helmes</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kallidonis%2C+C+J+C">C. Jost. C. Kallidonis</a>, <a href="/search/hep-lat?searchtype=author&query=Knippschild%2C+B">B. Knippschild</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">G. Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+L">L. Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Mangin-Brinet%2C+M">M. Mangin-Brinet</a>, <a href="/search/hep-lat?searchtype=author&query=Ottnad%2C+K">K. Ottnad</a>, <a href="/search/hep-lat?searchtype=author&query=Petschlies%2C+M">M. Petschlies</a>, <a href="/search/hep-lat?searchtype=author&query=Pientka%2C+G">G. Pientka</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G+C">G. C. Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a>, <a href="/search/hep-lat?searchtype=author&query=Werner%2C+M">M. Werner</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1507.05068v2-abstract-short" style="display: inline;"> We present physics results from simulations of QCD using $N_f = 2$ dynamical Wilson twisted mass fermions at the physical value of the pion mass. These simulations were enabled by the addition of the clover term to the twisted mass quark action. We show evidence that compared to previous simulations without this term, the pion mass splitting due to isospin breaking is almost completely eliminated.… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1507.05068v2-abstract-full').style.display = 'inline'; document.getElementById('1507.05068v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1507.05068v2-abstract-full" style="display: none;"> We present physics results from simulations of QCD using $N_f = 2$ dynamical Wilson twisted mass fermions at the physical value of the pion mass. These simulations were enabled by the addition of the clover term to the twisted mass quark action. We show evidence that compared to previous simulations without this term, the pion mass splitting due to isospin breaking is almost completely eliminated. Using this new action, we compute the masses and decay constants of pseudoscalar mesons involving the dynamical up and down as well as valence strange and charm quarks at one value of the lattice spacing, $a \approx 0.09$ fm. Further, we determine renormalized quark masses as well as their scale-independent ratios, in excellent agreement with other lattice determinations in the continuum limit. In the baryon sector, we show that the nucleon mass is compatible with its physical value and that the masses of the $螖$ baryons do not show any sign of isospin breaking. Finally, we compute the electron, muon and tau lepton anomalous magnetic moments and show the results to be consistent with extrapolations of older ETMC data to the continuum and physical pion mass limits. We mostly find remarkably good agreement with phenomenology, even though we cannot take the continuum and thermodynamic limits. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1507.05068v2-abstract-full').style.display = 'none'; document.getElementById('1507.05068v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 June, 2017; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 17 July, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">45 pages, 15 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> DESY 15-121 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 95, 094515 (2017) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1507.04936">arXiv:1507.04936</a> <span> [<a href="https://arxiv.org/pdf/1507.04936">pdf</a>, <a href="https://arxiv.org/format/1507.04936">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.93.039904">10.1103/PhysRevD.93.039904 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Abdel-Rehim%2C+A">A. Abdel-Rehim</a>, <a href="/search/hep-lat?searchtype=author&query=Alexandrou%2C+C">C. Alexandrou</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">M. Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Frezzotti%2C+R">R. Frezzotti</a>, <a href="/search/hep-lat?searchtype=author&query=Hadjiyiannakou%2C+K">K. Hadjiyiannakou</a>, <a href="/search/hep-lat?searchtype=author&query=Jansen%2C+K">K. Jansen</a>, <a href="/search/hep-lat?searchtype=author&query=Kallidonis%2C+C">Ch. Kallidonis</a>, <a href="/search/hep-lat?searchtype=author&query=Kostrzewa%2C+B">B. Kostrzewa</a>, <a href="/search/hep-lat?searchtype=author&query=Koutsou%2C+G">G. Koutsou</a>, <a href="/search/hep-lat?searchtype=author&query=Mangin-Brinet%2C+M">M. Mangin-Brinet</a>, <a href="/search/hep-lat?searchtype=author&query=Oehm%2C+M">M. Oehm</a>, <a href="/search/hep-lat?searchtype=author&query=Rossi%2C+G+C">G. C. Rossi</a>, <a href="/search/hep-lat?searchtype=author&query=Urbach%2C+C">C. Urbach</a>, <a href="/search/hep-lat?searchtype=author&query=Wenger%2C+U">U. Wenger</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1507.04936v3-abstract-short" style="display: inline;"> We present results on the nucleon scalar, axial and tensor charges as well as on the momentum fraction, and the helicity and transversity moments. The pion momentum fraction is also presented. The computation of these key observables is carried out using lattice QCD simulations at a physical value of the pion mass. The evaluation is based on gauge configurations generated with two degenerate sea q… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1507.04936v3-abstract-full').style.display = 'inline'; document.getElementById('1507.04936v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1507.04936v3-abstract-full" style="display: none;"> We present results on the nucleon scalar, axial and tensor charges as well as on the momentum fraction, and the helicity and transversity moments. The pion momentum fraction is also presented. The computation of these key observables is carried out using lattice QCD simulations at a physical value of the pion mass. The evaluation is based on gauge configurations generated with two degenerate sea quarks of twisted mass fermions with a clover term. We investigate excited states contributions with the nucleon quantum numbers by analyzing three sink-source time separations. We find that, for the scalar charge, excited states contribute significantly and to a less degree to the nucleon momentum fraction and helicity moment. Our analysis yields a value for the nucleon axial charge agrees with the experimental value and we predict a value of 1.027(62) in the $\overline{\text{MS}}$ scheme at 2 GeV for the isovector nucleon tensor charge directly at the physical point. The pion momentum fraction is found to be $\langle x\rangle_{u-d}^{蟺^\pm}=0.214(15)(^{+12}_{-9})$ in the $\overline{\rm MS}$ at 2 GeV. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1507.04936v3-abstract-full').style.display = 'none'; document.getElementById('1507.04936v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 January, 2016; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 17 July, 2015; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2015. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">The experimental value of the helicity plotted in Fig.17 is corrected. ETM Collaboration. 25 pages, 19 figures. Version accepted for PRD (volume 92, eid 114513)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 93, 039904 (2016) </p> </li> </ol> <nav class="pagination is-small is-centered breathe-horizontal" role="navigation" aria-label="pagination"> <a href="" class="pagination-previous is-invisible">Previous </a> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=50" class="pagination-next" >Next </a> <ul class="pagination-list"> <li> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=0" class="pagination-link is-current" aria-label="Goto page 1">1 </a> </li> <li> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=50" class="pagination-link " aria-label="Page 2" aria-current="page">2 </a> </li> <li> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=100" class="pagination-link " aria-label="Page 3" aria-current="page">3 </a> </li> <li> <a href="/search/?searchtype=author&query=Frezzotti%2C+R&start=150" class="pagination-link " aria-label="Page 4" aria-current="page">4 </a> </li> </ul> </nav> <div class="is-hidden-tablet">  <span class="help" 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