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(URI)</option><option value="author_id">arXiv author ID</option><option value="help">Help pages</option><option value="full_text">Full text</option></select> <input id="query" name="query" type="text" value="Juttner, A"> <ul id="abstracts"><li><input checked id="abstracts-0" name="abstracts" type="radio" value="show"> <label for="abstracts-0">Show abstracts</label></li><li><input id="abstracts-1" name="abstracts" type="radio" value="hide"> <label for="abstracts-1">Hide abstracts</label></li></ul> </div> <div class="box field is-grouped is-grouped-multiline level-item"> <div class="control"> <span class="select is-small"> <select id="size" name="size"><option value="25">25</option><option selected value="50">50</option><option value="100">100</option><option value="200">200</option></select> </span> <label for="size">results per page</label>. </div> <div class="control"> <label for="order">Sort results by</label> <span class="select is-small"> <select id="order" name="order"><option 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class="pagination-link " aria-label="Page 2" aria-current="page">2 </a> </li> <li> <a href="/search/?searchtype=author&query=Juttner%2C+A&start=100" class="pagination-link " aria-label="Page 3" aria-current="page">3 </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/2411.18058">arXiv:2411.18058</a> <span> [<a href="https://arxiv.org/pdf/2411.18058">pdf</a>, <a href="https://arxiv.org/format/2411.18058">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"> Systematic effects in the lattice calculation of inclusive semileptonic decays </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Kellermann%2C+R">Ryan Kellermann</a>, <a href="/search/hep-lat?searchtype=author&query=Barone%2C+A">Alessandro Barone</a>, <a href="/search/hep-lat?searchtype=author&query=Elgaziari%2C+A">Ahmed Elgaziari</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">Shoji Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=Hu%2C+Z">Zhi Hu</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">Takashi Kaneko</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="2411.18058v1-abstract-short" style="display: inline;"> We report on the calculation of the inclusive semileptonic decay of the $D_s$ meson on the lattice. We simulate the $D_s \rightarrow X_s\ell谓_\ell$ process with M枚bius domain-wall charm and strange quarks, whose masses are approximately tuned to their physical values. Our simulations cover the whole kinematical region. The focus of this work is to present updates on our strategies towards estimati… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2411.18058v1-abstract-full').style.display = 'inline'; document.getElementById('2411.18058v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2411.18058v1-abstract-full" style="display: none;"> We report on the calculation of the inclusive semileptonic decay of the $D_s$ meson on the lattice. We simulate the $D_s \rightarrow X_s\ell谓_\ell$ process with M枚bius domain-wall charm and strange quarks, whose masses are approximately tuned to their physical values. Our simulations cover the whole kinematical region. The focus of this work is to present updates on our strategies towards estimating the systematic uncertainties in the determination of the inclusive decay rate. We specifically focus on the systematic errors due to the choice of our approximation strategy and finite-volume effects. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2411.18058v1-abstract-full').style.display = 'none'; document.getElementById('2411.18058v1-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 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">9 pages, 3 figures, Contribution to the 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August 2024, Liverpool, UK</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> KEK-CP-0405 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2411.04268">arXiv:2411.04268</a> <span> [<a href="https://arxiv.org/pdf/2411.04268">pdf</a>, <a href="https://arxiv.org/format/2411.04268">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"> FLAG Review 2024 </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Aoki%2C+Y">Y. Aoki</a>, <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">T. Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Collins%2C+S">S. Collins</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">L. Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Della+Morte%2C+M">M. Della Morte</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=Feng%2C+X">X. Feng</a>, <a href="/search/hep-lat?searchtype=author&query=Golterman%2C+M">M. Golterman</a>, <a href="/search/hep-lat?searchtype=author&query=Gottlieb%2C+S">Steven Gottlieb</a>, <a href="/search/hep-lat?searchtype=author&query=Gupta%2C+R">R. Gupta</a>, <a href="/search/hep-lat?searchtype=author&query=Herdoiza%2C+G">G. Herdoiza</a>, <a href="/search/hep-lat?searchtype=author&query=Hernandez%2C+P">P. Hernandez</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">T. Kaneko</a>, <a href="/search/hep-lat?searchtype=author&query=Lunghi%2C+E">E. Lunghi</a>, <a href="/search/hep-lat?searchtype=author&query=Meinel%2C+S">S. Meinel</a>, <a href="/search/hep-lat?searchtype=author&query=Monahan%2C+C">C. Monahan</a>, <a href="/search/hep-lat?searchtype=author&query=Nicholson%2C+A">A. Nicholson</a>, <a href="/search/hep-lat?searchtype=author&query=Onogi%2C+T">T. Onogi</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">P. Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">A. Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Ramos%2C+A">A. Ramos</a>, <a href="/search/hep-lat?searchtype=author&query=Sharpe%2C+S+R">S. R. Sharpe</a>, <a href="/search/hep-lat?searchtype=author&query=Simone%2C+J+N">J. N. Simone</a>, <a href="/search/hep-lat?searchtype=author&query=Sint%2C+S">S. Sint</a> , et al. (6 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="2411.04268v1-abstract-short" style="display: inline;"> We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to 蟺$ transition at zero momentum transfer, as well as the decay-constant ratio… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2411.04268v1-abstract-full').style.display = 'inline'; document.getElementById('2411.04268v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2411.04268v1-abstract-full" style="display: none;"> We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to 蟺$ transition at zero momentum transfer, as well as the decay-constant ratio $f_K/f_蟺$ and its consequences for the CKM matrix elements $V_{us}$ and $V_{ud}$. We review the determination of the $B_K$ parameter of neutral kaon mixing as well as the additional four $B$ parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $m_c$ and $m_b$ as well as those for the decay constants, form factors, and mixing parameters of charmed and bottom mesons and baryons. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $伪_s$. We review the determinations of nucleon charges from the matrix elements of both isovector and flavour-diagonal axial, scalar and tensor local quark bilinears, and momentum fraction, helicity moment and the transversity moment from one-link quark bilinears. We also review determinations of scale-setting quantities. Finally, in this review we have added a new section on the general definition of the low-energy limit of the Standard Model. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2411.04268v1-abstract-full').style.display = 'none'; document.getElementById('2411.04268v1-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 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">435 pages, 53 Figures, 190 tables. arXiv admin note: substantial text overlap with arXiv:2111.09849, arXiv:1902.08191</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2024-192 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2406.10074">arXiv:2406.10074</a> <span> [<a href="https://arxiv.org/pdf/2406.10074">pdf</a>, <a href="https://arxiv.org/format/2406.10074">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"> New strategies for probing $B\to D^\ast \ell\bar谓_\ell$ lattice and experimental data </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bordone%2C+M">Marzia Bordone</a>, <a href="/search/hep-lat?searchtype=author&query=Juttner%2C+A">Andreas Juttner</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="2406.10074v1-abstract-short" style="display: inline;"> We present an analysis of the exclusive semileptonic decay $B\to D^\ast \ell\bar谓_\ell$ based on the Belle and Belle II data made public in 2023, combined with recent lattice-QCD calculations of the hadronic transition form factors by FNAL/MILC, HPQCD and JLQCD. We also consider a new combination of the Belle and Belle II data sets by HFLAV. The analysis is based on the form-factor parameterisatio… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2406.10074v1-abstract-full').style.display = 'inline'; document.getElementById('2406.10074v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2406.10074v1-abstract-full" style="display: none;"> We present an analysis of the exclusive semileptonic decay $B\to D^\ast \ell\bar谓_\ell$ based on the Belle and Belle II data made public in 2023, combined with recent lattice-QCD calculations of the hadronic transition form factors by FNAL/MILC, HPQCD and JLQCD. We also consider a new combination of the Belle and Belle II data sets by HFLAV. The analysis is based on the form-factor parameterisation by Boyd-Grinstein-Lebed (BGL), using Bayesian and frequentist statistics, for which we discuss novel strategies. We compare the results of an analysis where the BGL parameterisation is fit only to the lattice data with those from a simultaneous fit to lattice and experiment, and discuss the resulting predictions for the CKM-matrix element $V_{cb}$, as well as other phenomenological observables, such as $R^{蟿/渭}(D^\ast)$. We find tensions when comparing analyses based on different combinations of experimental or theoretical input, requiring the introduction of a systematic error for some of our results. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2406.10074v1-abstract-full').style.display = 'none'; document.getElementById('2406.10074v1-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 June, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 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">35 pages, 8 figures, 9 tables</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2024-083 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2405.06152">arXiv:2405.06152</a> <span> [<a href="https://arxiv.org/pdf/2405.06152">pdf</a>, <a href="https://arxiv.org/format/2405.06152">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"> Updates on inclusive charmed and bottomed meson decays from the lattice </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Kellermann%2C+R">Ryan Kellermann</a>, <a href="/search/hep-lat?searchtype=author&query=Barone%2C+A">Alessandro Barone</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">Shoji Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">Takashi Kaneko</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="2405.06152v1-abstract-short" style="display: inline;"> With the development of lattice QCD in recent years, a determination of decay rates for inclusive semileptonic decays from lattice correlators now seems viable. We report on the calculation of the inclusive semileptonic decay of the $D_s$ meson on the lattice. We simulate the $D_s \rightarrow X_s\ell谓_\ell$ process with M枚bius domain-wall charm and strange quarks, whose masses were approximately t… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2405.06152v1-abstract-full').style.display = 'inline'; document.getElementById('2405.06152v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2405.06152v1-abstract-full" style="display: none;"> With the development of lattice QCD in recent years, a determination of decay rates for inclusive semileptonic decays from lattice correlators now seems viable. We report on the calculation of the inclusive semileptonic decay of the $D_s$ meson on the lattice. We simulate the $D_s \rightarrow X_s\ell谓_\ell$ process with M枚bius domain-wall charm and strange quarks, whose masses were approximately tuned to the physical values. We cover the whole kinematical region. We present a general overview on how the inclusive decays are treated on the lattice and discuss ongoing challenges, such as the estimation of systematic errors and future prospects of the project. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2405.06152v1-abstract-full').style.display = 'none'; document.getElementById('2405.06152v1-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 May, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 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">7 pages, 2 figures, Presented at the 12th Workshop on the CKM Unitarity Triangle, 18-22 September 2023, Santiago de Compostela</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2312.17401">arXiv:2312.17401</a> <span> [<a href="https://arxiv.org/pdf/2312.17401">pdf</a>, <a href="https://arxiv.org/format/2312.17401">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"> Chebyshev and Backus-Gilbert reconstruction for inclusive semileptonic $B_{(s)}$-meson decays from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Barone%2C+A">Alessandro Barone</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">Shoji Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">Takashi Kaneko</a>, <a href="/search/hep-lat?searchtype=author&query=Kellermann%2C+R">Ryan Kellermann</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="2312.17401v1-abstract-short" style="display: inline;"> We present a study on the nonperturbative calculation of observables for inclusive semileptonic decays of $B_{(s)}$ mesons using lattice QCD. We focus on the comparison of two different methods to analyse the lattice data of Euclidean correlation functions, specifically Chebyshev and Backus-Gilbert approaches. This type of computation may eventually provide new insight into the long-standing tensi… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.17401v1-abstract-full').style.display = 'inline'; document.getElementById('2312.17401v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2312.17401v1-abstract-full" style="display: none;"> We present a study on the nonperturbative calculation of observables for inclusive semileptonic decays of $B_{(s)}$ mesons using lattice QCD. We focus on the comparison of two different methods to analyse the lattice data of Euclidean correlation functions, specifically Chebyshev and Backus-Gilbert approaches. This type of computation may eventually provide new insight into the long-standing tension between the inclusive and exclusive determinations of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements $|V_{cb}|$ and $|V_{ub}|$. We report the results from a pilot lattice computation for the decay $B_s \rightarrow X_c \, l谓_l$, where the valence quark masses are approximately tuned to their physical values using the relativistic-heavy quark action for the $b$ quark and the domain-wall formalism for the other valence quarks. We address the computation of the total decay rate as well as leptonic and hadronic moments, discussing similarities and differences between the two analysis techniques. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.17401v1-abstract-full').style.display = 'none'; document.getElementById('2312.17401v1-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 December, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 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, 6 figures, 40th International Symposium on Lattice Field Theory - Lattice2023</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> KEK-TH-2590 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2312.16442">arXiv:2312.16442</a> <span> [<a href="https://arxiv.org/pdf/2312.16442">pdf</a>, <a href="https://arxiv.org/format/2312.16442">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"> Studies on finite-volume effects in the inclusive semileptonic decays of charmed mesons </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Kellermann%2C+R">Ryan Kellermann</a>, <a href="/search/hep-lat?searchtype=author&query=Barone%2C+A">Alessandro Barone</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">Shoji Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">Takashi Kaneko</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="2312.16442v1-abstract-short" style="display: inline;"> We report on the calculation of the inclusive semileptonic decay of the $D_s$ meson on the lattice. We simulate the $D_s \rightarrow X_s\ell谓_\ell$ process with M枚bius domain-wall charm and strange quarks, whose masses were approximately tuned to the physical values. We cover the whole kinematical region. The focus of this work is on the systematic error due to finite-volume effects. We construct… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.16442v1-abstract-full').style.display = 'inline'; document.getElementById('2312.16442v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2312.16442v1-abstract-full" style="display: none;"> We report on the calculation of the inclusive semileptonic decay of the $D_s$ meson on the lattice. We simulate the $D_s \rightarrow X_s\ell谓_\ell$ process with M枚bius domain-wall charm and strange quarks, whose masses were approximately tuned to the physical values. We cover the whole kinematical region. The focus of this work is on the systematic error due to finite-volume effects. We construct a model of two-body final states to describe the data on a finite volume lattice of $L \simeq 0.055 \, \text{fm}$ to investigate the extrapolation to the infinite-volume limit. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.16442v1-abstract-full').style.display = 'none'; document.getElementById('2312.16442v1-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, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> KEK-TH-2591 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2312.14631">arXiv:2312.14631</a> <span> [<a href="https://arxiv.org/pdf/2312.14631">pdf</a>, <a href="https://arxiv.org/format/2312.14631">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"> Extrapolating semileptonic form factors using Bayesian-inference fits regulated by unitarity and analyticity </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J+M">J. M. Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. T. Tsang</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="2312.14631v1-abstract-short" style="display: inline;"> We discuss our recently proposed model-independent framework for fitting hadronic form-factor data, which are often only available at discrete kinematical points, using parameterisations based on unitarity and analyticity. The accompanying dispersive bound on the form factors (unitarity constraint) is used to regulate the ill-posed fitting problem and allow model-independent predictions over the e… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.14631v1-abstract-full').style.display = 'inline'; document.getElementById('2312.14631v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2312.14631v1-abstract-full" style="display: none;"> We discuss our recently proposed model-independent framework for fitting hadronic form-factor data, which are often only available at discrete kinematical points, using parameterisations based on unitarity and analyticity. The accompanying dispersive bound on the form factors (unitarity constraint) is used to regulate the ill-posed fitting problem and allow model-independent predictions over the entire physical range. Kinematical constraints, for example for the vector and scalar form factors in semileptonic meson decays, can be imposed exactly. The core formulae are straight-forward to implement with standard math libraries. We demonstrate the method for the exclusive semileptonic decay $B_s\to K\ell谓$, an example requiring one to use a generalisation of the original Boyd Grinstein Lebed (BGL) unitarity constraint. We further present a first application of the method to $B \to D^*\ell 谓$ decays. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.14631v1-abstract-full').style.display = 'none'; document.getElementById('2312.14631v1-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> 22 December, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 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">7 pages, 2 figures, Proceedings contribution to "The 40th International Symposium on Lattice Field Theory (Lattice 2023)"</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2023-248 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2311.02923">arXiv:2311.02923</a> <span> [<a href="https://arxiv.org/pdf/2311.02923">pdf</a>, <a href="https://arxiv.org/format/2311.02923">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> <p class="title is-5 mathjax"> Workshop summary -- Kaons@CERN 2023 </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Anzivino%2C+G">G. Anzivino</a>, <a href="/search/hep-lat?searchtype=author&query=Cuendis%2C+S+A">S. Arguedas Cuendis</a>, <a href="/search/hep-lat?searchtype=author&query=Bernard%2C+V">V. Bernard</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">J. Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Bloch-Devaux%2C+B">B. Bloch-Devaux</a>, <a href="/search/hep-lat?searchtype=author&query=Bordone%2C+M">M. Bordone</a>, <a href="/search/hep-lat?searchtype=author&query=Brizioli%2C+F">F. Brizioli</a>, <a href="/search/hep-lat?searchtype=author&query=Brod%2C+J">J. Brod</a>, <a href="/search/hep-lat?searchtype=author&query=Camalich%2C+J+M">J. M. Camalich</a>, <a href="/search/hep-lat?searchtype=author&query=Ceccucci%2C+A">A. Ceccucci</a>, <a href="/search/hep-lat?searchtype=author&query=Cenci%2C+P">P. Cenci</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N+H">N. H. Christ</a>, <a href="/search/hep-lat?searchtype=author&query=Colangelo%2C+G">G. Colangelo</a>, <a href="/search/hep-lat?searchtype=author&query=Cornella%2C+C">C. Cornella</a>, <a href="/search/hep-lat?searchtype=author&query=Crivellin%2C+A">A. Crivellin</a>, <a href="/search/hep-lat?searchtype=author&query=D%27Ambrosio%2C+G">G. D'Ambrosio</a>, <a href="/search/hep-lat?searchtype=author&query=Deppisch%2C+F+F">F. F. Deppisch</a>, <a href="/search/hep-lat?searchtype=author&query=Dery%2C+A">A. Dery</a>, <a href="/search/hep-lat?searchtype=author&query=Dettori%2C+F">F. Dettori</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=D%C3%B6brich%2C+B">B. D枚brich</a>, <a href="/search/hep-lat?searchtype=author&query=Engelfried%2C+J">J. Engelfried</a>, <a href="/search/hep-lat?searchtype=author&query=Fantechi%2C+R">R. Fantechi</a>, <a href="/search/hep-lat?searchtype=author&query=Gonz%C3%A1lez-Alonso%2C+M">M. Gonz谩lez-Alonso</a>, <a href="/search/hep-lat?searchtype=author&query=Gorbahn%2C+M">M. Gorbahn</a> , et al. (38 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="2311.02923v3-abstract-short" style="display: inline;"> Kaon physics is at a turning point -- while the rare-kaon experiments NA62 and KOTO are in full swing, the end of their lifetime is approaching and the future experimental landscape needs to be defined. With HIKE, KOTO-II and LHCb-Phase-II on the table and under scrutiny, it is a very good moment in time to take stock and contemplate about the opportunities these experiments and theoretical develo… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.02923v3-abstract-full').style.display = 'inline'; document.getElementById('2311.02923v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2311.02923v3-abstract-full" style="display: none;"> Kaon physics is at a turning point -- while the rare-kaon experiments NA62 and KOTO are in full swing, the end of their lifetime is approaching and the future experimental landscape needs to be defined. With HIKE, KOTO-II and LHCb-Phase-II on the table and under scrutiny, it is a very good moment in time to take stock and contemplate about the opportunities these experiments and theoretical developments provide for particle physics in the coming decade and beyond. This paper provides a compact summary of talks and discussions from the Kaons@CERN 2023 workshop. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.02923v3-abstract-full').style.display = 'none'; document.getElementById('2311.02923v3-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 May, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 6 November, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 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">55 pages, Summary of Kaons@CERN 23 workshop, references updated, typos fixed, version as published in EPJC</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2023-206 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2305.14092">arXiv:2305.14092</a> <span> [<a href="https://arxiv.org/pdf/2305.14092">pdf</a>, <a href="https://arxiv.org/format/2305.14092">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/10.1007/JHEP07(2023)145">10.1007/JHEP07(2023)145 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Approaches to inclusive semileptonic $B_{(s)}$-meson decays from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Barone%2C+A">Alessandro Barone</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">Shoji Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">Takashi Kaneko</a>, <a href="/search/hep-lat?searchtype=author&query=Kellermann%2C+R">Ryan Kellermann</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="2305.14092v2-abstract-short" style="display: inline;"> We address the nonperturbative calculation of the inclusive decay rate of semileptonic $B_{(s)}$-meson decays from lattice QCD. Precise Standard-Model predictions are key ingredients in searches for new physics, and this type of computation may eventually provide new insight into the long-standing tension between the inclusive and exclusive determinations of the Cabibbo-Kobayashi-Maskawa (CKM) mat… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.14092v2-abstract-full').style.display = 'inline'; document.getElementById('2305.14092v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2305.14092v2-abstract-full" style="display: none;"> We address the nonperturbative calculation of the inclusive decay rate of semileptonic $B_{(s)}$-meson decays from lattice QCD. Precise Standard-Model predictions are key ingredients in searches for new physics, and this type of computation may eventually provide new insight into the long-standing tension between the inclusive and exclusive determinations of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements $|V_{cb}|$ and $|V_{ub}|$. We present results from a pilot lattice computation for $B_s \rightarrow X_c\, l 谓_l$, where the initial $b$ quark described by the relativistic-heavy-quark (RHQ) formalism on the lattice and the other valence quarks discretised with domain-wall fermions are simulated approximately at their physical quark masses. We compare two different methods for computing the decay rate from lattice data of Euclidean $n$-point functions, namely Chebyshev and Backus-Gilbert approaches. We further study how much the ground-state meson dominates the inclusive decay rate and indicate our strategy towards a computation with a more comprehensive systematic error budget. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.14092v2-abstract-full').style.display = 'none'; document.getElementById('2305.14092v2-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, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 23 May, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 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">43 pages, 18 figures. Add missing references, fix typos</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> KEK-CP-0394 CERN-TH-2023-087 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP 07 (2023) 145 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2303.11285">arXiv:2303.11285</a> <span> [<a href="https://arxiv.org/pdf/2303.11285">pdf</a>, <a href="https://arxiv.org/format/2303.11285">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"> Bayesian inference for form-factor fits regulated by unitarity and analyticity </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J+M">J. M. Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. T. Tsang</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="2303.11285v3-abstract-short" style="display: inline;"> We propose a model-independent framework for fitting hadronic form-factor data, which is often only available at discrete kinematical points, using parameterisations based on to unitarity and analyticity. In this novel approach the latter two properties of quantum-field theory regulate the ill-posed fitting problem and allow model-independent predictions over the entire physical range. Kinematical… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2303.11285v3-abstract-full').style.display = 'inline'; document.getElementById('2303.11285v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2303.11285v3-abstract-full" style="display: none;"> We propose a model-independent framework for fitting hadronic form-factor data, which is often only available at discrete kinematical points, using parameterisations based on to unitarity and analyticity. In this novel approach the latter two properties of quantum-field theory regulate the ill-posed fitting problem and allow model-independent predictions over the entire physical range. Kinematical constraints, for example for the vector and scalar form factors in semileptonic meson decays, can be imposed exactly. The core formulae are straight-forward to implement with standard math libraries. We take account of a generalisation of the original Boyd Grinstein Lebed (BGL) unitarity constraint for form factors and demonstrate our method for the exclusive semileptonic decay $B_s\to K \ell 谓$, for which we make a number of phenomenologically relevant predictions, including the CKM matrix element $|V_{ub}|$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2303.11285v3-abstract-full').style.display = 'none'; document.getElementById('2303.11285v3-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 February, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 20 March, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 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">46 pages, 8 figures, version as published in JHEP with updated references, extended discussion of the truncation dependence (Sec. 3.4) and the asymptotic behaviour of the BGL expansion (App. C)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2023-047 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2303.11280">arXiv:2303.11280</a> <span> [<a href="https://arxiv.org/pdf/2303.11280">pdf</a>, <a href="https://arxiv.org/format/2303.11280">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.107.114512">10.1103/PhysRevD.107.114512 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Exclusive semileptonic $B_s\to K \ell 谓$ decays on the lattice </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J+M">Jonathan M. Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+C">Ryan C. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Soni%2C+A">Amarjit Soni</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. Tobias Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">Oliver Witzel</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="2303.11280v2-abstract-short" style="display: inline;"> Semileptonic $B_s \to K \ell 谓$ decays provide an alternative $b$-decay channel to determine the CKM matrix element $|V_{ub}|$, and to obtain a $R$-ratio to investigate lepton-flavor-universality violations. Results for the CKM matrix element may also shed light on the discrepancies seen between analyses of inclusive or exclusive decays. We calculate the decay form factors using lattice QCD with d… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2303.11280v2-abstract-full').style.display = 'inline'; document.getElementById('2303.11280v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2303.11280v2-abstract-full" style="display: none;"> Semileptonic $B_s \to K \ell 谓$ decays provide an alternative $b$-decay channel to determine the CKM matrix element $|V_{ub}|$, and to obtain a $R$-ratio to investigate lepton-flavor-universality violations. Results for the CKM matrix element may also shed light on the discrepancies seen between analyses of inclusive or exclusive decays. We calculate the decay form factors using lattice QCD with domain-wall light quarks and a relativistic $b$-quark. We analyze data at three lattice spacings with unitary pion masses down to $268\,\mathrm{MeV}$. Our numerical results are interpolated/extrapolated to physical quark masses and to the continuum to obtain the vector and scalar form factors $f_+(q^2)$ and $f_0(q^2)$ with full error budgets at $q^2$ values spanning the range accessible in our simulations. We provide a possible explanation of tensions found between results for the form factor from different lattice collaborations. Model- and truncation-independent $z$-parameterization fits following a recently proposed Bayesian-inference approach extend our results to the entire allowed kinematic range. Our results can be combined with experimental measurements of $B_s \to D_s$ and $B_s\to K$ semileptonic decays to determine $|V_{ub}|=3.8(6)\times 10^{-3}$. The error is currently dominated by experiment. We compute differential branching fractions and two types of $R$ ratios, the one commonly used as well as a variant better suited to test lepton-flavor universality. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2303.11280v2-abstract-full').style.display = 'none'; document.getElementById('2303.11280v2-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> 18 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 20 March, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 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">Version accepted and published (Phys. Rev. D 107, 114512) 30 pages, 13 Figures, supplementary data file</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2023-046 FERMILAB-PUB-23-115-V P3H-23-017 SI-HEP-2023-06 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 107 (2023), 114512 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2301.12858">arXiv:2301.12858</a> <span> [<a href="https://arxiv.org/pdf/2301.12858">pdf</a>, <a href="https://arxiv.org/format/2301.12858">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/10.22323/1.430.0069">10.22323/1.430.0069 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The $I$ = 1/2 and 3/2 $K-蟺$ scattering length with domain wall fermions at physical pion mass with all-to-all propagators </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Asmussen%2C+N">Nils Asmussen</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">Felix Erben</a>, <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J">Jonathan Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+R">Rajnandini Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">Christopher T. Sachrajda</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="2301.12858v1-abstract-short" style="display: inline;"> We present our calculations for the $I$ = 1/2 and 3/2 $K-蟺$ s-wave scattering length with physical quark masses, extracted from the interaction energy of Euclidean two-point functions. We use the domain wall fermion action with physical quark masses at a single lattice spacing. We are specifically interested in the systematic effects due to around-the-world terms on the overall determination of th… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2301.12858v1-abstract-full').style.display = 'inline'; document.getElementById('2301.12858v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2301.12858v1-abstract-full" style="display: none;"> We present our calculations for the $I$ = 1/2 and 3/2 $K-蟺$ s-wave scattering length with physical quark masses, extracted from the interaction energy of Euclidean two-point functions. We use the domain wall fermion action with physical quark masses at a single lattice spacing. We are specifically interested in the systematic effects due to around-the-world terms on the overall determination of the scattering length. We present our progress and discuss the various systematic effects in our preliminary results. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2301.12858v1-abstract-full').style.display = 'none'; document.getElementById('2301.12858v1-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> 30 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">39th 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(LATTICE2022)069 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2301.08696">arXiv:2301.08696</a> <span> [<a href="https://arxiv.org/pdf/2301.08696">pdf</a>, <a href="https://arxiv.org/format/2301.08696">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"> An update of Euclidean windows of the hadronic vacuum polarization </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">T. Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P+A">P. A. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Bruno%2C+M">M. Bruno</a>, <a href="/search/hep-lat?searchtype=author&query=Giusti%2C+D">D. Giusti</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">V. G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+C">R. C. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Izubuchi%2C+T">T. Izubuchi</a>, <a href="/search/hep-lat?searchtype=author&query=Jang%2C+Y+-">Y. -C. Jang</a>, <a href="/search/hep-lat?searchtype=author&query=Jin%2C+L">L. Jin</a>, <a href="/search/hep-lat?searchtype=author&query=Jung%2C+C">C. Jung</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kelly%2C+C">C. Kelly</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">C. Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Matsumoto%2C+N">N. Matsumoto</a>, <a href="/search/hep-lat?searchtype=author&query=Mawhinney%2C+R+D">R. D. Mawhinney</a>, <a href="/search/hep-lat?searchtype=author&query=Meyer%2C+A+S">A. S. Meyer</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. T. Tsang</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="2301.08696v1-abstract-short" style="display: inline;"> We compute the standard Euclidean window of the hadronic vacuum polarization using multiple independent blinded analyses. We improve the continuum and infinite-volume extrapolations of the dominant quark-connected light-quark isospin-symmetric contribution and address additional sub-leading systematic effects from sea-charm quarks and residual chiral-symmetry breaking from first principles. We fin… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2301.08696v1-abstract-full').style.display = 'inline'; document.getElementById('2301.08696v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2301.08696v1-abstract-full" style="display: none;"> We compute the standard Euclidean window of the hadronic vacuum polarization using multiple independent blinded analyses. We improve the continuum and infinite-volume extrapolations of the dominant quark-connected light-quark isospin-symmetric contribution and address additional sub-leading systematic effects from sea-charm quarks and residual chiral-symmetry breaking from first principles. We find $a_渭^{\rm W} = 235.56(65)(50) \times 10^{-10}$, which is in $3.8蟽$ tension with the recently published dispersive result of Colangelo et al., $a_渭^{\rm W} = 229.4(1.4) \times 10^{-10}$, and in agreement with other recent lattice determinations. We also provide a result for the standard short-distance window. The results reported here are unchanged compared to our presentation at the Edinburgh workshop of the g-2 Theory Initiative in 2022. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2301.08696v1-abstract-full').style.display = 'none'; document.getElementById('2301.08696v1-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 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">24 pages, 15 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/2212.09469">arXiv:2212.09469</a> <span> [<a href="https://arxiv.org/pdf/2212.09469">pdf</a>, <a href="https://arxiv.org/format/2212.09469">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"> Position-Space Renormalisation of the Energy-Momentum Tensor </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Rocha%2C+H+B">Henrique Bergallo Rocha</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kitching-Morley%2C+B">Ben Kitching-Morley</a>, <a href="/search/hep-lat?searchtype=author&query=Lee%2C+J+K+L">Joseph K. L. Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Skenderis%2C+K">Kostas Skenderis</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="2212.09469v1-abstract-short" style="display: inline;"> There is increasing interest in the study of nonperturbative aspects of three-dimensional quantum field theories (QFT). They appear as holographic dual to theories of (strongly coupled) gravity. For instance, in Holographic Cosmology, the two-point function of the Energy-Momentum Tensor (EMT) of a particular class of three-dimensional QFTs can be mapped into the power spectrum of the Cosmic Microw… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.09469v1-abstract-full').style.display = 'inline'; document.getElementById('2212.09469v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.09469v1-abstract-full" style="display: none;"> There is increasing interest in the study of nonperturbative aspects of three-dimensional quantum field theories (QFT). They appear as holographic dual to theories of (strongly coupled) gravity. For instance, in Holographic Cosmology, the two-point function of the Energy-Momentum Tensor (EMT) of a particular class of three-dimensional QFTs can be mapped into the power spectrum of the Cosmic Microwave Background in the gravitational theory. However, the presence of divergent contact terms poses challenges in extracting a renormalised EMT two-point function on the lattice. Using a $蠁^4$ theory of adjoint scalars valued in the $\mathfrak{su}(N)$ Lie Algebra as a proof-of-concept motivated by Holographic Cosmology, we apply a novel method for filtering out such contact terms by making use of infinitely differentiable "bump" functions which enforce a smooth window that excludes contributions at zero spatial separation. The process effectively removes the local contact terms and allows us to extract the continuum limit behaviour of the renormalised EMT two-point function. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.09469v1-abstract-full').style.display = 'none'; document.getElementById('2212.09469v1-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">Proceedings for the 39th International Symposium on Lattice Field Theory</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2212.04709">arXiv:2212.04709</a> <span> [<a href="https://arxiv.org/pdf/2212.04709">pdf</a>, <a href="https://arxiv.org/format/2212.04709">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"> Isospin-breaking corrections to light leptonic decays in lattice QCD+QED at the physical point </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Di+Carlo%2C+M">Matteo Di Carlo</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">Felix Erben</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">Vera G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Hansen%2C+M+T">Maxwell T. Hansen</a>, <a href="/search/hep-lat?searchtype=author&query=Harris%2C+T">Tim Harris</a>, <a href="/search/hep-lat?searchtype=author&query=Hermansson-Truedsson%2C+N">Nils Hermansson-Truedsson</a>, <a href="/search/hep-lat?searchtype=author&query=Hodgson%2C+R">Raoul Hodgson</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=h%C3%93g%C3%A1in%2C+F+%C3%93">Fionn 脫 h脫g谩in</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Richings%2C+J">James Richings</a>, <a href="/search/hep-lat?searchtype=author&query=Yong%2C+A+Z+N">Andrew Z. N. Yong</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="2212.04709v1-abstract-short" style="display: inline;"> We report on the physical-point RBC/UKQCD calculation of the leading isospin-breaking corrections to light-meson leptonic decays. This is highly relevant for future precision tests in the flavour physics sector, in particular the first-row unitarity of the Cabibbo-Kobayashi-Maskawa matrix containing the elements $V_{us}$ and $V_{ud}$. The simulations were performed using Domain-Wall fermions for… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.04709v1-abstract-full').style.display = 'inline'; document.getElementById('2212.04709v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.04709v1-abstract-full" style="display: none;"> We report on the physical-point RBC/UKQCD calculation of the leading isospin-breaking corrections to light-meson leptonic decays. This is highly relevant for future precision tests in the flavour physics sector, in particular the first-row unitarity of the Cabibbo-Kobayashi-Maskawa matrix containing the elements $V_{us}$ and $V_{ud}$. The simulations were performed using Domain-Wall fermions for $2+1$ flavours, and with isospin-breaking effects included perturbatively in the path integral through order $伪$ and $(m_u - m_d)/螞_{\mathrm{QCD}}$. We use QED$_{\mathrm{L}}$ for the inclusion of electromagnetism, and discuss here the non-locality of this prescription which has significant impact on the infinite-volume extrapolation. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.04709v1-abstract-full').style.display = 'none'; document.getElementById('2212.04709v1-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 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">Proceedings for The 39th International Symposium on Lattice Field Theory, 8th-13th August, 2022, Rheinische Friedrich-Wilhelms-Universit盲t Bonn, 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/2211.16830">arXiv:2211.16830</a> <span> [<a href="https://arxiv.org/pdf/2211.16830">pdf</a>, <a href="https://arxiv.org/format/2211.16830">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"> Inclusive semi-leptonic decays of charmed mesons with M枚bius domain wall fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Kellermann%2C+R">Ryan Kellermann</a>, <a href="/search/hep-lat?searchtype=author&query=Barone%2C+A">Alessandro Barone</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">Shoji Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">Takashi Kaneko</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="2211.16830v1-abstract-short" style="display: inline;"> We perform a non-perturbative lattice calculation of the decay rates for inclusive semi-leptonic decays of charmed mesons. In view of the long-standing tension in the determination of the CKM matrix elements $|V_{ub}|$ and $|V_{cb}|$ from exclusive and inclusive processes, recently, the use of lattice QCD has been extended towards the description of inclusive decays. Since the determination of had… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.16830v1-abstract-full').style.display = 'inline'; document.getElementById('2211.16830v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2211.16830v1-abstract-full" style="display: none;"> We perform a non-perturbative lattice calculation of the decay rates for inclusive semi-leptonic decays of charmed mesons. In view of the long-standing tension in the determination of the CKM matrix elements $|V_{ub}|$ and $|V_{cb}|$ from exclusive and inclusive processes, recently, the use of lattice QCD has been extended towards the description of inclusive decays. Since the determination of hadronic input parameters from QCD based methods require independent tests, we focus on the charm sector, since it not only offers experimental data, but also well determined CKM parameters. We carry out a pilot lattice simulation for the $D_s \rightarrow X_s \ell谓$ and explore the improvement of existing techniques. Our simulation employs M枚bius domain-wall charm and strange quarks whose masses are tuned to be approximately physical and we cover the whole kinematical region. We report on our progress in analyzing different sources of systematic effects, such as the extrapolation of the kernel function chosen for the Chebsyhev approximation as well as the influence on the analysis in the region close to the kinematical limit. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.16830v1-abstract-full').style.display = 'none'; document.getElementById('2211.16830v1-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> 30 November, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 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, Proceedings of the 39th International Symposium on Lattice Field Theory, 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/2211.15623">arXiv:2211.15623</a> <span> [<a href="https://arxiv.org/pdf/2211.15623">pdf</a>, <a href="https://arxiv.org/format/2211.15623">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"> Inclusive semi-leptonic $B_{(s)}$ mesons decay at the physical $b$ quark mass </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Barone%2C+A">Alessandro Barone</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">Shoji Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">Takashi Kaneko</a>, <a href="/search/hep-lat?searchtype=author&query=Kellermann%2C+R">Ryan Kellermann</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="2211.15623v1-abstract-short" style="display: inline;"> We address the non-perturbative calculation of the decay rate of inclusive semi-leptonic $B_{(s)}$ mesons decays from lattice QCD. Precise theoretical Standard Model predictions are key ingredients in searches for new physics. This type of computation may eventually provide new insight into the long-standing tension between the inclusive and exclusive determinations of the CKM matrix elements… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.15623v1-abstract-full').style.display = 'inline'; document.getElementById('2211.15623v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2211.15623v1-abstract-full" style="display: none;"> We address the non-perturbative calculation of the decay rate of inclusive semi-leptonic $B_{(s)}$ mesons decays from lattice QCD. Precise theoretical Standard Model predictions are key ingredients in searches for new physics. This type of computation may eventually provide new insight into the long-standing tension between the inclusive and exclusive determinations of the CKM matrix elements $|V_{cb}|$ and $|V_{ub}|$. We perform a pilot lattice computation for $B_s \rightarrow X_c \, l 谓_l$ and improve on existing techniques. The valence-quark masses in our simulations are approximately physical for the domain-wall strange and charm quarks as well as for the bottom quark, for which we use a relativistic heavy quark effective action. We report on our progress and discuss future plans towards a first study with fully controlled systematic effects. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.15623v1-abstract-full').style.display = 'none'; document.getElementById('2211.15623v1-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 November, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 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, 6 figures, Proceedings of the 39th International Symposium on Lattice Field Theory, 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/2211.12865">arXiv:2211.12865</a> <span> [<a href="https://arxiv.org/pdf/2211.12865">pdf</a>, <a href="https://arxiv.org/format/2211.12865">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/10.1007/JHEP02(2023)242">10.1007/JHEP02(2023)242 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Di+Carlo%2C+M">Matteo Di Carlo</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">Felix Erben</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">Vera G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Hansen%2C+M+T">Maxwell T. Hansen</a>, <a href="/search/hep-lat?searchtype=author&query=Harris%2C+T">Tim Harris</a>, <a href="/search/hep-lat?searchtype=author&query=Hermansson-Truedsson%2C+N">Nils Hermansson-Truedsson</a>, <a href="/search/hep-lat?searchtype=author&query=Hodgson%2C+R">Raoul Hodgson</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=h%C3%93g%C3%A1in%2C+F+%C3%93">Fionn 脫 h脫g谩in</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Richings%2C+J">James Richings</a>, <a href="/search/hep-lat?searchtype=author&query=Yong%2C+A+Z+N">Andrew Zhen Ning Yong</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="2211.12865v1-abstract-short" style="display: inline;"> The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than $\mathrm{O}(1\%)$, require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-b… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.12865v1-abstract-full').style.display = 'inline'; document.getElementById('2211.12865v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2211.12865v1-abstract-full" style="display: none;"> The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than $\mathrm{O}(1\%)$, require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-breaking effects, can play a central role in solving the current tensions in the first-row unitarity of the CKM matrix. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed with $N_\mathrm{f}=2+1$ dynamical quarks close to the physical point and domain wall fermions in the M枚bius formulation are employed. Long-distance QED interactions are included according to the $\mathrm{QED_L}$ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on $|V_\mathrm{us}|/|V_\mathrm{ud}|$ and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.12865v1-abstract-full').style.display = 'none'; document.getElementById('2211.12865v1-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, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 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">66 pages, 23 figures and 4 tables</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2022-193, LU-TP 22-59 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2205.15373">arXiv:2205.15373</a> <span> [<a href="https://arxiv.org/pdf/2205.15373">pdf</a>, <a href="https://arxiv.org/format/2205.15373">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> <p class="title is-5 mathjax"> A lattice QCD perspective on weak decays of b and c quarks Snowmass 2022 White Paper </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P+A">Peter A. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Chakraborty%2C+B">Bipasha Chakraborty</a>, <a href="/search/hep-lat?searchtype=author&query=Davies%2C+C+T+H">Christine T. H. Davies</a>, <a href="/search/hep-lat?searchtype=author&query=DeGrand%2C+T">Thomas DeGrand</a>, <a href="/search/hep-lat?searchtype=author&query=DeTar%2C+C">Carleton DeTar</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=El-Khadra%2C+A+X">Aida X. El-Khadra</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">Felix Erben</a>, <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J+M">Jonathan M. Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%A1miz%2C+E">Elvira G谩miz</a>, <a href="/search/hep-lat?searchtype=author&query=Giusti%2C+D">Davide Giusti</a>, <a href="/search/hep-lat?searchtype=author&query=Gottlieb%2C+S">Steven Gottlieb</a>, <a href="/search/hep-lat?searchtype=author&query=Hansen%2C+M+T">Maxwell T. Hansen</a>, <a href="/search/hep-lat?searchtype=author&query=Heitger%2C+J">Jochen Heitger</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R">Ryan Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Jay%2C+W+I">William I. Jay</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Koponen%2C+J">Jonna Koponen</a>, <a href="/search/hep-lat?searchtype=author&query=Kronfeld%2C+A">Andreas Kronfeld</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">Christoph Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Lytle%2C+A+T">Andrew T. Lytle</a>, <a href="/search/hep-lat?searchtype=author&query=Martinelli%2C+G">Guido Martinelli</a>, <a href="/search/hep-lat?searchtype=author&query=Meinel%2C+S">Stefan Meinel</a>, <a href="/search/hep-lat?searchtype=author&query=Monahan%2C+C+J">Christopher J. Monahan</a>, <a href="/search/hep-lat?searchtype=author&query=Neil%2C+E+T">Ethan T. Neil</a> , et al. (10 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="2205.15373v2-abstract-short" style="display: inline;"> Lattice quantum chromodynamics has proven to be an indispensable method to determine nonperturbative strong contributions to weak decay processes. In this white paper for the Snowmass community planning process we highlight achievements and future avenues of research for lattice calculations of weak $b$ and $c$ quark decays, and point out how these calculations will help to address the anomalies c… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2205.15373v2-abstract-full').style.display = 'inline'; document.getElementById('2205.15373v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2205.15373v2-abstract-full" style="display: none;"> Lattice quantum chromodynamics has proven to be an indispensable method to determine nonperturbative strong contributions to weak decay processes. In this white paper for the Snowmass community planning process we highlight achievements and future avenues of research for lattice calculations of weak $b$ and $c$ quark decays, and point out how these calculations will help to address the anomalies currently in the spotlight of the particle physics community. With future increases in computational resources and algorithmic improvements, percent level (and below) lattice determinations will play a central role in constraining the standard model or identifying new physics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2205.15373v2-abstract-full').style.display = 'none'; document.getElementById('2205.15373v2-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 August, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 May, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 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 Snowmass 2021; 19 pages; v2 corrected typo and added references</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2022-036, FERMILAB-CONF-22-433-SCD-T, JLAB-THY-22-3582, MITP-22-020, MIT-CTP/5413, MS-TP-22-07, SI-HEP-2022-11 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2203.15810">arXiv:2203.15810</a> <span> [<a href="https://arxiv.org/pdf/2203.15810">pdf</a>, <a href="https://arxiv.org/format/2203.15810">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> <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> <p class="title is-5 mathjax"> Prospects for precise predictions of $a_渭$ in the Standard Model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Colangelo%2C+G">G. Colangelo</a>, <a href="/search/hep-lat?searchtype=author&query=Davier%2C+M">M. Davier</a>, <a href="/search/hep-lat?searchtype=author&query=El-Khadra%2C+A+X">A. X. El-Khadra</a>, <a href="/search/hep-lat?searchtype=author&query=Hoferichter%2C+M">M. Hoferichter</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">C. Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Lellouch%2C+L">L. Lellouch</a>, <a href="/search/hep-lat?searchtype=author&query=Mibe%2C+T">T. Mibe</a>, <a href="/search/hep-lat?searchtype=author&query=Roberts%2C+B+L">B. L. Roberts</a>, <a href="/search/hep-lat?searchtype=author&query=Teubner%2C+T">T. Teubner</a>, <a href="/search/hep-lat?searchtype=author&query=Wittig%2C+H">H. Wittig</a>, <a href="/search/hep-lat?searchtype=author&query=Ananthanarayan%2C+B">B. Ananthanarayan</a>, <a href="/search/hep-lat?searchtype=author&query=Bashir%2C+A">A. Bashir</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">J. Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">T. Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">P. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Bray-Ali%2C+N">N. Bray-Ali</a>, <a href="/search/hep-lat?searchtype=author&query=Caprini%2C+I">I. Caprini</a>, <a href="/search/hep-lat?searchtype=author&query=Calame%2C+C+M+C">C. M. Carloni Calame</a>, <a href="/search/hep-lat?searchtype=author&query=Cat%C3%A0%2C+O">O. Cat脿</a>, <a href="/search/hep-lat?searchtype=author&query=C%C3%A8%2C+M">M. C猫</a>, <a href="/search/hep-lat?searchtype=author&query=Charles%2C+J">J. Charles</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N+H">N. H. Christ</a>, <a href="/search/hep-lat?searchtype=author&query=Curciarello%2C+F">F. Curciarello</a>, <a href="/search/hep-lat?searchtype=author&query=Danilkin%2C+I">I. Danilkin</a>, <a href="/search/hep-lat?searchtype=author&query=Das%2C+D">D. Das</a> , et al. (57 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="2203.15810v1-abstract-short" style="display: inline;"> We discuss the prospects for improving the precision on the hadronic corrections to the anomalous magnetic moment of the muon, and the plans of the Muon $g-2$ Theory Initiative to update the Standard Model prediction. </span> <span class="abstract-full has-text-grey-dark mathjax" id="2203.15810v1-abstract-full" style="display: none;"> We discuss the prospects for improving the precision on the hadronic corrections to the anomalous magnetic moment of the muon, and the plans of the Muon $g-2$ Theory Initiative to update the Standard Model prediction. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2203.15810v1-abstract-full').style.display = 'none'; document.getElementById('2203.15810v1-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 March, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 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 US Community Study on the Future of Particle Physics (Snowmass 2021)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FERMILAB-CONF-22-236-T, LTH 1303, MITP-22-030 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2202.08795">arXiv:2202.08795</a> <span> [<a href="https://arxiv.org/pdf/2202.08795">pdf</a>, <a href="https://arxiv.org/format/2202.08795">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.107.L011503">10.1103/PhysRevD.107.L011503 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Simulating rare kaon decays $K^{+}\to蟺^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P+A">P. A. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">F. Erben</a>, <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J+M">J. M. Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">V. G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+C">R. C. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Hodgson%2C+R">R. Hodgson</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=h%C3%93g%C3%A1in%2C+F+%C3%93">F. 脫 h脫g谩in</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">A. Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">C. T. Sachrajda</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="2202.08795v4-abstract-short" style="display: inline;"> We report the first calculation using physical light-quark masses of the electromagnetic form factor $V(z)$ describing the long-distance contributions to the $K^+\to蟺^+\ell^+\ell^-$ decay amplitude. The calculation is performed on a 2+1 flavor domain wall fermion ensemble with inverse lattice spacing $a^{-1}=1.730(4)$GeV. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to th… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.08795v4-abstract-full').style.display = 'inline'; document.getElementById('2202.08795v4-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2202.08795v4-abstract-full" style="display: none;"> We report the first calculation using physical light-quark masses of the electromagnetic form factor $V(z)$ describing the long-distance contributions to the $K^+\to蟺^+\ell^+\ell^-$ decay amplitude. The calculation is performed on a 2+1 flavor domain wall fermion ensemble with inverse lattice spacing $a^{-1}=1.730(4)$GeV. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain $V(z=0.013(2))=-0.87(4.44)$, achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.08795v4-abstract-full').style.display = 'none'; document.getElementById('2202.08795v4-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 January, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 17 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">11 pages, 8 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 107, L011503 (2023) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2202.03970">arXiv:2202.03970</a> <span> [<a href="https://arxiv.org/pdf/2202.03970">pdf</a>, <a href="https://arxiv.org/format/2202.03970">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"> Renormalization of the $3D$ $SU(N)$ scalar energy-momentum tensor using the Wilson flow </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Lee%2C+J+K+L">Joseph K. L. Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Dobson%2C+E">Elizabeth Dobson</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kitching-Morley%2C+B">Ben Kitching-Morley</a>, <a href="/search/hep-lat?searchtype=author&query=Nourry%2C+V">Valentin Nourry</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Rocha%2C+H+B">Henrique Bergallo Rocha</a>, <a href="/search/hep-lat?searchtype=author&query=Skenderis%2C+K">Kostas Skenderis</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="2202.03970v1-abstract-short" style="display: inline;"> In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the $3D$ massless $SU(N)$ scalar matrix field theory with a $蠁^4$ interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator $蠁^2$. We utilize the Wilson Flow to renor… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.03970v1-abstract-full').style.display = 'inline'; document.getElementById('2202.03970v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2202.03970v1-abstract-full" style="display: none;"> In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the $3D$ massless $SU(N)$ scalar matrix field theory with a $蠁^4$ interaction. On the lattice, the energy-momentum tensor (EMT) in this theory can mix with the operator $蠁^2$. We utilize the Wilson Flow to renormalize the EMT on the lattice, and present numerical results for the mixing coefficient for $N = 2$. Obtaining the renormalized EMT will allow us to make predictions for the CMB power spectra in the regime where the dual QFT is non-perturbative. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.03970v1-abstract-full').style.display = 'none'; document.getElementById('2202.03970v1-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> 8 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">10 pages, 3 figures, presented at the 38th International Symposium on Lattice Field Theory - LATTICE2021 - 26-30 July, 2021, 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/2201.02680">arXiv:2201.02680</a> <span> [<a href="https://arxiv.org/pdf/2201.02680">pdf</a>, <a href="https://arxiv.org/format/2201.02680">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"> Semileptonic $D \rightarrow 蟺\ell 谓$, $D \rightarrow K \ell 谓$ and $D_s \rightarrow K \ell 谓$ decays with 2+1f domain wall fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">Felix Erben</a>, <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J">Jonathan Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Marshall%2C+M">Michael Marshall</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. Tobias Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">Oliver Witzel</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="2201.02680v1-abstract-short" style="display: inline;"> We present the status of our project to calculate $D \to 蟺\ell 谓$, $D \to K \ell 谓$ and $D_s \to K \ell 谓$ semileptonic form factors using domain wall fermions for both heavy and light quarks. Our computations are performed using RBC/UKQCD's set of 2+1 flavour domain wall fermion and Iwasaki gauge field ensembles. We plan to calculate three-point functions covering the full, physically allowed kin… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.02680v1-abstract-full').style.display = 'inline'; document.getElementById('2201.02680v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.02680v1-abstract-full" style="display: none;"> We present the status of our project to calculate $D \to 蟺\ell 谓$, $D \to K \ell 谓$ and $D_s \to K \ell 谓$ semileptonic form factors using domain wall fermions for both heavy and light quarks. Our computations are performed using RBC/UKQCD's set of 2+1 flavour domain wall fermion and Iwasaki gauge field ensembles. We plan to calculate three-point functions covering the full, physically allowed kinematic range. Given that the signal decays faster than the noise, unambiguously and reliably extracting the ground state is critical for success. We include an analysis of operator diagonalisation within several possible $2 \times 2$ operator bases and find an admixture of gauged fixed wall and $\mathbb{Z} \left( 2 \right)$ wall sources to be acceptable at both zero and non-zero momentum. Initial results for semileptonic form factors are presented for first ensembles. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.02680v1-abstract-full').style.display = 'none'; document.getElementById('2201.02680v1-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">11 pages, 9 figures, to be published in Proceedings of Science, The 38th International Symposium on Lattice Field Theory</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2201.01610">arXiv:2201.01610</a> <span> [<a href="https://arxiv.org/pdf/2201.01610">pdf</a>, <a href="https://arxiv.org/format/2201.01610">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"> A numerical and theoretical study of multilevel performance for two-point correlator calculations </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Kitching-Morley%2C+B">Ben Kitching-Morley</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</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="2201.01610v1-abstract-short" style="display: inline;"> An investigation of the performance of the multilevel algorithm in the approach to criticality has been undertaken using the Ising model, performing simulations across a range of temperatures. Numerical results show that the performance of multilevel in this system deteriorates as the correlation length is increased with respect to the lattice size. The statistical error of the longest correlator… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.01610v1-abstract-full').style.display = 'inline'; document.getElementById('2201.01610v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.01610v1-abstract-full" style="display: none;"> An investigation of the performance of the multilevel algorithm in the approach to criticality has been undertaken using the Ising model, performing simulations across a range of temperatures. Numerical results show that the performance of multilevel in this system deteriorates as the correlation length is increased with respect to the lattice size. The statistical error of the longest correlator in the system is reduced in a multilevel setup when the correlation length is less than one-tenth of the lattice size, while for longer correlation lengths multilevel performs more poorly than a computer-time equivalent single level algorithm. A theoretical model of this performance scaling is outlined, and shows remarkable accuracy when compared to numerical results. This theoretical model may be applied to other systems with more complex spectra to predict if multilevel techniques are likely to result in improved statistics. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.01610v1-abstract-full').style.display = 'none'; document.getElementById('2201.01610v1-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 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">9 pages, 4 figures, a proceedings paper for a talk given at the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021. Submitted to Proceedings of Science, see https://pos.sissa.it/</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2112.11823">arXiv:2112.11823</a> <span> [<a href="https://arxiv.org/pdf/2112.11823">pdf</a>, <a href="https://arxiv.org/format/2112.11823">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"> Near-Physical Point Lattice Calculation of Isospin-Breaking Corrections to $K_{\ell2}/蟺_{\ell2}$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Yong%2C+A+Z+N">Andrew Zhen Ning Yong</a>, <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Di+Carlo%2C+M">Matteo Di Carlo</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">Felix Erben</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">Vera G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Hansen%2C+M+T">Maxwell T. Hansen</a>, <a href="/search/hep-lat?searchtype=author&query=Harris%2C+T">Tim Harris</a>, <a href="/search/hep-lat?searchtype=author&query=Hermansson-Truedsson%2C+N">Nils Hermansson-Truedsson</a>, <a href="/search/hep-lat?searchtype=author&query=Hodgson%2C+R">Raoul Hodgson</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Richings%2C+J">James Richings</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="2112.11823v2-abstract-short" style="display: inline;"> In recent years, lattice determinations of non-perturbative quantities such as $f_K$ and $f_蟺$, which are relevant for $V_{us}$ and $V_{ud}$, have reached an impressive precision of $\mathcal{O}(1\%)$ or better. To make further progress, electromagnetic and strong isospin breaking effects must be included in lattice QCD simulations. We present the status of the RBC/UKQCD lattice calculation of i… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.11823v2-abstract-full').style.display = 'inline'; document.getElementById('2112.11823v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2112.11823v2-abstract-full" style="display: none;"> In recent years, lattice determinations of non-perturbative quantities such as $f_K$ and $f_蟺$, which are relevant for $V_{us}$ and $V_{ud}$, have reached an impressive precision of $\mathcal{O}(1\%)$ or better. To make further progress, electromagnetic and strong isospin breaking effects must be included in lattice QCD simulations. We present the status of the RBC/UKQCD lattice calculation of isospin-breaking corrections to light meson leptonic decays. This computation is performed in a (2+1)-flavor QCD simulation using Domain Wall Fermions with near-physical quark masses. The isospin-breaking effects are implemented via a perturbative expansion of the action in $伪$ and $(m_u-m_d)$. In this calculation, we work in the electro-quenched approximation and the photons are implemented in the Feynman gauge and $\text{QED}_\text{L}$ formulation. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.11823v2-abstract-full').style.display = 'none'; document.getElementById('2112.11823v2-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, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 22 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">11 pages, 4 figures; Updated Author(s) metadata</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2112.10580">arXiv:2112.10580</a> <span> [<a href="https://arxiv.org/pdf/2112.10580">pdf</a>, <a href="https://arxiv.org/format/2112.10580">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"> Form factors for semileptonic $B\to蟺$, $B_s\to K$ and $B_s\to D_s$ decays </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J">Jonathan Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R">Ryan Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Juettner%2C+A">Andreas Juettner</a>, <a href="/search/hep-lat?searchtype=author&query=Soni%2C+A">Amarjit Soni</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. Tobias Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">Oliver Witzel</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="2112.10580v1-abstract-short" style="display: inline;"> We report on our determinations of $B\to 蟺\ell谓$, $B_s\to K \ell 谓$ and $B_s\to D_s \ell 谓$ semileptonic form factors. In addition we discuss the determination of $R$-ratios testing lepton-flavor universality and suggest an improved ratio. Our calculations are based on the set of 2+1 flavor domain-wall Iwasaki gauge field configurations generated by the RBC/UKQCD collaboration with three lattice s… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.10580v1-abstract-full').style.display = 'inline'; document.getElementById('2112.10580v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2112.10580v1-abstract-full" style="display: none;"> We report on our determinations of $B\to 蟺\ell谓$, $B_s\to K \ell 谓$ and $B_s\to D_s \ell 谓$ semileptonic form factors. In addition we discuss the determination of $R$-ratios testing lepton-flavor universality and suggest an improved ratio. Our calculations are based on the set of 2+1 flavor domain-wall Iwasaki gauge field configurations generated by the RBC/UKQCD collaboration with three lattice spacings of $1/a = 1.78$, $2.38$, and $2.79\,\text{GeV}$. We use the relativistic heavy quark action for $b$ quarks and charm quarks are simulated with the M枚bius domain-wall fermion action. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.10580v1-abstract-full').style.display = 'none'; document.getElementById('2112.10580v1-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, 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">11 pages, 7 figures. Lattice 2021 contribution 306 (combines 306 and 501)</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> Siegen SI-HEP-2021-36 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2112.09089">arXiv:2112.09089</a> <span> [<a href="https://arxiv.org/pdf/2112.09089">pdf</a>, <a href="https://arxiv.org/format/2112.09089">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"> A variance reduction technique for hadronic correlators with partially twisted boundary conditions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Asmussen%2C+N">Nils Asmussen</a>, <a href="/search/hep-lat?searchtype=author&query=Barone%2C+A">Alessandro Barone</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</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="2112.09089v1-abstract-short" style="display: inline;"> Partially twisted boundary conditions are widely used for improving the momentum resolution in lattice computations of hadronic correlation functions. The method is however expensive since every additional twist requires computing additional propagators. We propose a novel variance reduction technique that exploits statistical correlations to reduce the overall cost for computing correlators with… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.09089v1-abstract-full').style.display = 'inline'; document.getElementById('2112.09089v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2112.09089v1-abstract-full" style="display: none;"> Partially twisted boundary conditions are widely used for improving the momentum resolution in lattice computations of hadronic correlation functions. The method is however expensive since every additional twist requires computing additional propagators. We propose a novel variance reduction technique that exploits statistical correlations to reduce the overall cost for computing correlators with additional twist angles. We explain and demonstrate the method for meson 2pt and 3pt functions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.09089v1-abstract-full').style.display = 'none'; document.getElementById('2112.09089v1-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> 16 December, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2021. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.11287">arXiv:2111.11287</a> <span> [<a href="https://arxiv.org/pdf/2111.11287">pdf</a>, <a href="https://arxiv.org/format/2111.11287">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"> BSM $B - \bar{B}$ mixing on JLQCD and RBC/UKQCD $N_f=2+1$ DWF ensembles </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">Felix Erben</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">Takashi Kaneko</a>, <a href="/search/hep-lat?searchtype=author&query=Marshall%2C+M">Michael Marshall</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J Tobias Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">Oliver Witzel</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="2111.11287v1-abstract-short" style="display: inline;"> We are presenting our ongoing Lattice QCD study on $B - \bar{B}$ mixing on several RBC/UKQCD and JLQCD ensembles with 2+1 dynamical-flavour domain-wall fermions, including physical-pion-mass ensembles. We are extracting bag parameters $B_{B_d}$ and $B_{B_s}$ using the full 5-mixing-operator basis to study both Standard-Model mixing as well as Beyond the Standard Model mixing, using a fully correla… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.11287v1-abstract-full').style.display = 'inline'; document.getElementById('2111.11287v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.11287v1-abstract-full" style="display: none;"> We are presenting our ongoing Lattice QCD study on $B - \bar{B}$ mixing on several RBC/UKQCD and JLQCD ensembles with 2+1 dynamical-flavour domain-wall fermions, including physical-pion-mass ensembles. We are extracting bag parameters $B_{B_d}$ and $B_{B_s}$ using the full 5-mixing-operator basis to study both Standard-Model mixing as well as Beyond the Standard Model mixing, using a fully correlated combined fit to two-point functions and ratios of three-point and two-point functions. Using 15 different lattice ensembles we are simulating a range of heavy-quark masses from below the charm-quark mass to just below the bottom-quark mass. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.11287v1-abstract-full').style.display = 'none'; document.getElementById('2111.11287v1-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> 22 November, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2021. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.09849">arXiv:2111.09849</a> <span> [<a href="https://arxiv.org/pdf/2111.09849">pdf</a>, <a href="https://arxiv.org/format/2111.09849">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/10.1140/epjc/s10052-022-10536-1">10.1140/epjc/s10052-022-10536-1 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> FLAG Review 2021 </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Aoki%2C+Y">Y. Aoki</a>, <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">T. Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Colangelo%2C+G">G. Colangelo</a>, <a href="/search/hep-lat?searchtype=author&query=Collins%2C+S">S. Collins</a>, <a href="/search/hep-lat?searchtype=author&query=Della+Morte%2C+M">M. Della Morte</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=D%C3%BCrr%2C+S">S. D眉rr</a>, <a href="/search/hep-lat?searchtype=author&query=Feng%2C+X">X. Feng</a>, <a href="/search/hep-lat?searchtype=author&query=Fukaya%2C+H">H. Fukaya</a>, <a href="/search/hep-lat?searchtype=author&query=Golterman%2C+M">M. Golterman</a>, <a href="/search/hep-lat?searchtype=author&query=Gottlieb%2C+S">Steven Gottlieb</a>, <a href="/search/hep-lat?searchtype=author&query=Gupta%2C+R">R. Gupta</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">S. Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=Heller%2C+U+M">U. M. Heller</a>, <a href="/search/hep-lat?searchtype=author&query=Herdoiza%2C+G">G. Herdoiza</a>, <a href="/search/hep-lat?searchtype=author&query=Hernandez%2C+P">P. Hernandez</a>, <a href="/search/hep-lat?searchtype=author&query=Horsley%2C+R">R. Horsley</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">T. Kaneko</a>, <a href="/search/hep-lat?searchtype=author&query=Lunghi%2C+E">E. Lunghi</a>, <a href="/search/hep-lat?searchtype=author&query=Meinel%2C+S">S. Meinel</a>, <a href="/search/hep-lat?searchtype=author&query=Monahan%2C+C">C. Monahan</a>, <a href="/search/hep-lat?searchtype=author&query=Nicholson%2C+A">A. Nicholson</a>, <a href="/search/hep-lat?searchtype=author&query=Onogi%2C+T">T. Onogi</a>, <a href="/search/hep-lat?searchtype=author&query=Pena%2C+C">C. Pena</a> , et al. (12 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="2111.09849v2-abstract-short" style="display: inline;"> We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to 蟺$ transition at zero momentum transfer, as well as the decay constant ratio… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.09849v2-abstract-full').style.display = 'inline'; document.getElementById('2111.09849v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.09849v2-abstract-full" style="display: none;"> We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to 蟺$ transition at zero momentum transfer, as well as the decay constant ratio $f_K/f_蟺$ and its consequences for the CKM matrix elements $V_{us}$ and $V_{ud}$. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $SU(2)_L\times SU(2)_R$ and $SU(3)_L\times SU(3)_R$ Chiral Perturbation Theory. We review the determination of the $B_K$ parameter of neutral kaon mixing as well as the additional four $B$ parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $m_c$ and $m_b$ as well as those for the decay constants, form factors, and mixing parameters of charmed and bottom mesons and baryons. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $伪_s$. We consider nucleon matrix elements, and review the determinations of the axial, scalar and tensor bilinears, both isovector and flavor diagonal. Finally, in this review we have added a new section reviewing determinations of scale-setting quantities. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.09849v2-abstract-full').style.display = 'none'; document.getElementById('2111.09849v2-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 October, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 18 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">418 pages, 53 figures, 200 tables, 1056 references. Minor changes, version as published in EPJC. arXiv admin note: substantial text overlap with arXiv:1902.08191, arXiv:1607.00299, arXiv:1310.8555</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CERN-TH-2021-191, JLAB-THY-21-3528 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Eur.Phys.J.C 82 (2022) 10, 869 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2012.04323">arXiv:2012.04323</a> <span> [<a href="https://arxiv.org/pdf/2012.04323">pdf</a>, <a href="https://arxiv.org/format/2012.04323">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"> Nonperturbative calculations of form factors for exclusive semileptonic $B_{(s)}$ decays </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J+M">Jonathan M. Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+C">Ryan C. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Soni%2C+A">Amarjit Soni</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. Tobias Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">Oliver Witzel</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="2012.04323v1-abstract-short" style="display: inline;"> Precise theoretical predictions derived from the Standard Model are a key ingredient in searches for new physics in the flavor sector. The large mass and long lifetime of the $b$ quark make processes involving $b$ quarks of particular interest. We use lattice simulations to perform nonperturbative QCD calculations for semileptonic $B_{(s)}$ decays. We present results from our determinations of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2012.04323v1-abstract-full').style.display = 'inline'; document.getElementById('2012.04323v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2012.04323v1-abstract-full" style="display: none;"> Precise theoretical predictions derived from the Standard Model are a key ingredient in searches for new physics in the flavor sector. The large mass and long lifetime of the $b$ quark make processes involving $b$ quarks of particular interest. We use lattice simulations to perform nonperturbative QCD calculations for semileptonic $B_{(s)}$ decays. We present results from our determinations of $B_s\to D_s \ell 谓$ and $B_s\to K \ell 谓$ semileptonic form factors and provide an outlook for our $B\to 蟺\ell谓$ calculation. In addition we discuss the determination of $R$-ratios testing lepton-flavor universality and suggest use of an improved ratio. Our calculations are based on the set of 2+1 flavor domain wall Iwasaki gauge field configurations generated by the RBC-UKQCD collaboration featuring three lattice spacings of $1/a = 1.78$, $2.38$, and $2.79\,\text{GeV}$. Heavy $b$-quarks are simulated using the relativistic heavy quark action. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2012.04323v1-abstract-full').style.display = 'none'; document.getElementById('2012.04323v1-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> 8 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">6 pages, 3 figures, Proceedings of The 40th International Conference on High Energy Physics, ICHEP-2020; Jul 28-Aug 6, 2020, Prague, Czech Republic</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> SI-HEP-2020-33 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2009.14768">arXiv:2009.14768</a> <span> [<a href="https://arxiv.org/pdf/2009.14768">pdf</a>, <a href="https://arxiv.org/format/2009.14768">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="Statistical Mechanics">cond-mat.stat-mech</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/10.1103/PhysRevLett.126.221601">10.1103/PhysRevLett.126.221601 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Nonperturbative infrared finiteness in super-renormalisable scalar quantum field theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Cossu%2C+G">Guido Cossu</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Juttner%2C+A">Andreas Juttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kitching-Morley%2C+B">Ben Kitching-Morley</a>, <a href="/search/hep-lat?searchtype=author&query=Lee%2C+J+K+L">Joseph K. L. Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Rocha%2C+H+B">Henrique Bergallo Rocha</a>, <a href="/search/hep-lat?searchtype=author&query=Skenderis%2C+K">Kostas Skenderis</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="2009.14768v2-abstract-short" style="display: inline;"> We present a study of the IR behaviour of a three-dimensional super-renormalisable quantum field theory (QFT) consisting of a scalar field in the adjoint of $SU(N)$ with a $\varphi^4$ interaction. A bare mass is required for the theory to be massless at the quantum level. In perturbation theory the critical mass is ambiguous due to infrared (IR) divergences and we indeed find that at two-loops in… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.14768v2-abstract-full').style.display = 'inline'; document.getElementById('2009.14768v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2009.14768v2-abstract-full" style="display: none;"> We present a study of the IR behaviour of a three-dimensional super-renormalisable quantum field theory (QFT) consisting of a scalar field in the adjoint of $SU(N)$ with a $\varphi^4$ interaction. A bare mass is required for the theory to be massless at the quantum level. In perturbation theory the critical mass is ambiguous due to infrared (IR) divergences and we indeed find that at two-loops in lattice perturbation theory the critical mass diverges logarithmically. It was conjectured long ago in [Jackiw 1980, Appelquist 1981] that super-renormalisable theories are nonperturbatively IR finite, with the coupling constant playing the role of an IR regulator. Using a combination of Markov-Chain-Monte-Carlo simulations of the lattice-regularised theory, both frequentist and Bayesian data analysis, and considerations of a corresponding effective theory we gather evidence that this is indeed the case. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.14768v2-abstract-full').style.display = 'none'; document.getElementById('2009.14768v2-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 June, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 September, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 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">Version accepted for publication in PRL, added references, updated plots, extended discussion of IR behaviour in perturbation theory and EFT</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 126, 221601 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2009.14767">arXiv:2009.14767</a> <span> [<a href="https://arxiv.org/pdf/2009.14767">pdf</a>, <a href="https://arxiv.org/format/2009.14767">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/10.1103/PhysRevD.103.114501">10.1103/PhysRevD.103.114501 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Renormalization of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Dobson%2C+E">Elizabeth Dobson</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kitching-Morley%2C+B">Ben Kitching-Morley</a>, <a href="/search/hep-lat?searchtype=author&query=Lee%2C+J+K+L">Joseph K. L. Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Nourry%2C+V">Valentin Nourry</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Rocha%2C+H+B">Henrique Bergallo Rocha</a>, <a href="/search/hep-lat?searchtype=author&query=Skenderis%2C+K">Kostas Skenderis</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="2009.14767v3-abstract-short" style="display: inline;"> A nonperturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson flow to eliminate divergent contact terms makes it a practical method for renormalizing the energy-momentum tensor on the lattice. In this paper, we utilize the Wilson flow to define a procedure to renormalize the energy-momentum tensor for… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.14767v3-abstract-full').style.display = 'inline'; document.getElementById('2009.14767v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2009.14767v3-abstract-full" style="display: none;"> A nonperturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson flow to eliminate divergent contact terms makes it a practical method for renormalizing the energy-momentum tensor on the lattice. In this paper, we utilize the Wilson flow to define a procedure to renormalize the energy-momentum tensor for a three-dimensional massless scalar field in the adjoint of $SU(N)$ with a $\varphi^4$ interaction on the lattice. In this theory the energy-momentum tensor can mix with $\varphi^2$ and we present numerical results for the mixing coefficient for the $N=2$ theory. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.14767v3-abstract-full').style.display = 'none'; document.getElementById('2009.14767v3-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 June, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 September, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 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">29 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 103, 114501 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1912.09946">arXiv:1912.09946</a> <span> [<a href="https://arxiv.org/pdf/1912.09946">pdf</a>, <a href="https://arxiv.org/format/1912.09946">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"> Semileptonic $B\to蟺\ell谓$, $B\to D\ell谓$, $B_s\to K\ell谓$, and $B_s\to D_s\ell谓$ decays </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J">Jonathan Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R">Ryan Hill</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Soni%2C+A">Amarjit Soni</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">Justus Tobias Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">Oliver Witzel</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="1912.09946v1-abstract-short" style="display: inline;"> We present updates for our nonperturbative lattice QCD calculations to determine semileptonic form factors for exclusive $B\to 蟺\ell谓$, $B\to D \ell谓$, $B_s\to K\ell 谓$, and $B_s\to D_s\ell谓$ decays. Our calculation is based on RBC-UKQCD's set of $2+1$-dynamical-flavor gauge field ensembles. In the valence sector we use domain wall fermions for up/down, strange and charm quarks, whereas bottom qua… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1912.09946v1-abstract-full').style.display = 'inline'; document.getElementById('1912.09946v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1912.09946v1-abstract-full" style="display: none;"> We present updates for our nonperturbative lattice QCD calculations to determine semileptonic form factors for exclusive $B\to 蟺\ell谓$, $B\to D \ell谓$, $B_s\to K\ell 谓$, and $B_s\to D_s\ell谓$ decays. Our calculation is based on RBC-UKQCD's set of $2+1$-dynamical-flavor gauge field ensembles. In the valence sector we use domain wall fermions for up/down, strange and charm quarks, whereas bottom quarks are simulated with the relativistic heavy quark action. The continuum limit is based on three lattice spacings. Using kinematical $z$ expansions we aim to obtain form factors over the full $q^2$ range. These form factors are the basis for predicting ratios addressing lepton flavor universality or, when combined with experimental results, to obtain CKM matrix elements $|V_{ub}|$ and $|V_{cb}|$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1912.09946v1-abstract-full').style.display = 'none'; document.getElementById('1912.09946v1-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, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 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">14 pages, 10 figures, Proceedings of the 37th International Symposium on Lattice Field Theory, 16-22 June 2019, Wuhan, China</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1910.03250">arXiv:1910.03250</a> <span> [<a href="https://arxiv.org/pdf/1910.03250">pdf</a>, <a href="https://arxiv.org/format/1910.03250">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"> Electromagnetic finite-size effects to the hadronic vacuum polarisation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hermansson-Truedsson%2C+N">Nils Hermansson-Truedsson</a>, <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">Johan Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Harrison%2C+J">James Harrison</a>, <a href="/search/hep-lat?searchtype=author&query=Janowski%2C+T">Tadeusz Janowski</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</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="1910.03250v1-abstract-short" style="display: inline;"> In order to reach (sub-)per cent level precision in lattice calculations of the hadronic vacuum polarisation, isospin breaking corrections must be included. This requires introducing QED on the lattice, and the associated finite-size effects are potentially large due to the absence of a mass gap. This means that the finite-size effects scale as an inverse polynomial in $L$ rather than being expone… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1910.03250v1-abstract-full').style.display = 'inline'; document.getElementById('1910.03250v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1910.03250v1-abstract-full" style="display: none;"> In order to reach (sub-)per cent level precision in lattice calculations of the hadronic vacuum polarisation, isospin breaking corrections must be included. This requires introducing QED on the lattice, and the associated finite-size effects are potentially large due to the absence of a mass gap. This means that the finite-size effects scale as an inverse polynomial in $L$ rather than being exponentially suppressed. Considering the $\mathcal{O}(伪)$ corrected hadronic vacuum polarisation in QED$_{\mathrm{L}}$ with scalar QED as an effective theory, we show that the first possible term, which is of order $1/L^{2}$, vanishes identically so that the finite-size effects start at order $1/L^{3}$. This cancellation is understood from the neutrality of the currents involved, and we show that this cancellation is universal by also including form factors for the pions. We find good numerical agreement with lattice perturbation theory calculations, as well as, up to exponentially suppressed terms, scalar QED lattice simulations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1910.03250v1-abstract-full').style.display = 'none'; document.getElementById('1910.03250v1-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> 8 October, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 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">Proceedings for 37th International Symposium on Lattice Field Theory - Lattice2019, 16-22 June 2019, Wuhan, China</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LU TP 19-47 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1909.13867">arXiv:1909.13867</a> <span> [<a href="https://arxiv.org/pdf/1909.13867">pdf</a>, <a href="https://arxiv.org/format/1909.13867">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 a holographic description of cosmology: Renormalisation of the energy-momentum tensor of the dual QFT </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Lee%2C+J+K+L">Joseph K. L. Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Skenderis%2C+K">Kostas Skenderis</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="1909.13867v1-abstract-short" style="display: inline;"> In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the 3$d$ massless $SU(N)$ scalar matrix field theory. In this work, we focus on the renormalisation of the energy-momentum tensor 2-point function, which can be related to the CMB power spectra. Here we present… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1909.13867v1-abstract-full').style.display = 'inline'; document.getElementById('1909.13867v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1909.13867v1-abstract-full" style="display: none;"> In the holographic approach to cosmology, cosmological observables are described in terms of correlators of a three-dimensional boundary quantum field theory. As a concrete model, we study the 3$d$ massless $SU(N)$ scalar matrix field theory. In this work, we focus on the renormalisation of the energy-momentum tensor 2-point function, which can be related to the CMB power spectra. Here we present a non-perturbative procedure to remove divergences resulting from the loss of translational invariance on the lattice, by imposing Ward identities. This will allow us to make predictions for the CMB power spectra in the regime where the dual QFT is non-perturbative. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1909.13867v1-abstract-full').style.display = 'none'; document.getElementById('1909.13867v1-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> 30 September, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 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">7 pages, 2 figures, presented at the 37th International Symposium on Lattice Field Theory - LATTICE2019 - 16-22 June, 2019, Wuhan, China</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1903.10591">arXiv:1903.10591</a> <span> [<a href="https://arxiv.org/pdf/1903.10591">pdf</a>, <a href="https://arxiv.org/format/1903.10591">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.100.014508">10.1103/PhysRevD.100.014508 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Electromagnetic finite-size effects to the hadronic vacuum polarization </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bijnens%2C+J">J. Bijnens</a>, <a href="/search/hep-lat?searchtype=author&query=Harrison%2C+J">J. Harrison</a>, <a href="/search/hep-lat?searchtype=author&query=Hermansson-Truedsson%2C+N">N. Hermansson-Truedsson</a>, <a href="/search/hep-lat?searchtype=author&query=Janowski%2C+T">T. Janowski</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">A. Portelli</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="1903.10591v1-abstract-short" style="display: inline;"> In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This requires the inclusion of $\mathcal{O}(伪)$ electromagnetic corrections. The inclusion of electromagnetic interactions in lattice simulations is known to generate p… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1903.10591v1-abstract-full').style.display = 'inline'; document.getElementById('1903.10591v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1903.10591v1-abstract-full" style="display: none;"> In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This requires the inclusion of $\mathcal{O}(伪)$ electromagnetic corrections. The inclusion of electromagnetic interactions in lattice simulations is known to generate potentially large finite-size effects suppressed only by powers of the inverse spatial extent. In this paper we derive an analytic expression for the $\mathrm{QED}_{\mathrm{L}}$ finite-volume corrections to the two-pion contribution to the hadronic vacuum polarization at next-to-leading order in the electromagnetic coupling in scalar QED. The leading term is found to be of order $1/L^{3}$ where $L$ is the spatial extent. A $1/L^{2}$ term is absent since the current is neutral and a photon far away thus sees no charge and we show that this result is universal. Our analytical results agree with results from the numerical evaluation of loop integrals as well as simulations of lattice scalar $U(1)$ gauge theory with stochastically generated photon fields. In the latter case the agreement is up to exponentially suppressed finite-volume effects. For completeness we also calculate the hadronic vacuum polarization in infinite volume using a basis of 2-loop master integrals. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1903.10591v1-abstract-full').style.display = 'none'; document.getElementById('1903.10591v1-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 March, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 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">42 pages, 11 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 100, 014508 (2019) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1903.02100">arXiv:1903.02100</a> <span> [<a href="https://arxiv.org/pdf/1903.02100">pdf</a>, <a href="https://arxiv.org/format/1903.02100">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"> Semi-leptonic form factors for $B_s \to K \ell 谓$ and $B_s \to D_s \ell 谓$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Flynn%2C+J+M">Jonathan M. Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+C">Ryan C. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Soni%2C+A">Amarjit Soni</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">Justus Tobias Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">Oliver Witzel</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="1903.02100v1-abstract-short" style="display: inline;"> Semi-leptonic $B_s \to K \ell 谓$ and $B_s \to D_s \ell 谓$ decays provide an alternative $b$-decay channel to determine the CKM matrix elements $|V_{ub}|$ and $|V_{cb}|$ or to obtain $R$-ratios to investigate lepton flavor universality violations. In addition, these decays may shed further light on the discrepancies seen in the analysis of inclusive vs. exclusive decays. Using the nonperturbative m… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1903.02100v1-abstract-full').style.display = 'inline'; document.getElementById('1903.02100v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1903.02100v1-abstract-full" style="display: none;"> Semi-leptonic $B_s \to K \ell 谓$ and $B_s \to D_s \ell 谓$ decays provide an alternative $b$-decay channel to determine the CKM matrix elements $|V_{ub}|$ and $|V_{cb}|$ or to obtain $R$-ratios to investigate lepton flavor universality violations. In addition, these decays may shed further light on the discrepancies seen in the analysis of inclusive vs. exclusive decays. Using the nonperturbative methods of lattice QCD, theoretical results are obtained with good precision and full control over systematic uncertainties. This talk will highlight ongoing efforts of the $B$-physics program by the RBC-UKQCD collaboration. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1903.02100v1-abstract-full').style.display = 'none'; document.getElementById('1903.02100v1-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 March, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 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">Talk presented at The 36th Annual International Symposium on Lattice Field Theory, 22-28 July, 2018, Michigan State University, East Lansing, Michigan, USA; 7 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/1902.08191">arXiv:1902.08191</a> <span> [<a href="https://arxiv.org/pdf/1902.08191">pdf</a>, <a href="https://arxiv.org/ps/1902.08191">ps</a>, <a href="https://arxiv.org/format/1902.08191">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/10.1140/epjc/s10052-019-7354-7">10.1140/epjc/s10052-019-7354-7 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> FLAG Review 2019 </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Aoki%2C+S">S. Aoki</a>, <a href="/search/hep-lat?searchtype=author&query=Aoki%2C+Y">Y. Aoki</a>, <a href="/search/hep-lat?searchtype=author&query=Becirevic%2C+D">D. Becirevic</a>, <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">T. Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Colangelo%2C+G">G. Colangelo</a>, <a href="/search/hep-lat?searchtype=author&query=Collins%2C+S">S. Collins</a>, <a href="/search/hep-lat?searchtype=author&query=Della+Morte%2C+M">M. Della Morte</a>, <a href="/search/hep-lat?searchtype=author&query=Dimopoulos%2C+P">P. Dimopoulos</a>, <a href="/search/hep-lat?searchtype=author&query=D%C3%BCrr%2C+S">S. D眉rr</a>, <a href="/search/hep-lat?searchtype=author&query=Fukaya%2C+H">H. Fukaya</a>, <a href="/search/hep-lat?searchtype=author&query=Golterman%2C+M">M. Golterman</a>, <a href="/search/hep-lat?searchtype=author&query=Gottlieb%2C+S">Steven Gottlieb</a>, <a href="/search/hep-lat?searchtype=author&query=Gupta%2C+R">R. Gupta</a>, <a href="/search/hep-lat?searchtype=author&query=Hashimoto%2C+S">S. Hashimoto</a>, <a href="/search/hep-lat?searchtype=author&query=Heller%2C+U+M">U. M. Heller</a>, <a href="/search/hep-lat?searchtype=author&query=Herdoiza%2C+G">G. Herdoiza</a>, <a href="/search/hep-lat?searchtype=author&query=Horsley%2C+R">R. Horsley</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kaneko%2C+T">T. Kaneko</a>, <a href="/search/hep-lat?searchtype=author&query=Lin%2C+C+-+D">C. -J. D. Lin</a>, <a href="/search/hep-lat?searchtype=author&query=Lunghi%2C+E">E. Lunghi</a>, <a href="/search/hep-lat?searchtype=author&query=Mawhinney%2C+R">R. Mawhinney</a>, <a href="/search/hep-lat?searchtype=author&query=Nicholson%2C+A">A. Nicholson</a>, <a href="/search/hep-lat?searchtype=author&query=Onogi%2C+T">T. Onogi</a>, <a href="/search/hep-lat?searchtype=author&query=Pena%2C+C">C. Pena</a> , et al. (10 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="1902.08191v3-abstract-short" style="display: inline;"> We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to 蟺$ transition at zero momentum transfer, as well as the decay constant ratio… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1902.08191v3-abstract-full').style.display = 'inline'; document.getElementById('1902.08191v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1902.08191v3-abstract-full" style="display: none;"> We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to 蟺$ transition at zero momentum transfer, as well as the decay constant ratio $f_K/f_蟺$ and its consequences for the CKM matrix elements $V_{us}$ and $V_{ud}$. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $SU(2)_L\times SU(2)_R$ and $SU(3)_L\times SU(3)_R$ Chiral Perturbation Theory. We review the determination of the $B_K$ parameter of neutral kaon mixing as well as the additional four $B$ parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $m_c$ and $m_b$ as well as those for $D$- and $B$-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $伪_s$. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1902.08191v3-abstract-full').style.display = 'none'; document.getElementById('1902.08191v3-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 March, 2020; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 20 February, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 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">458 pages, 46 figures, 209 tables, 1146 references. Minor changes, version as published in EPJC. arXiv admin note: substantial text overlap with arXiv:1607.00299, arXiv:1310.8555</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1902.00295">arXiv:1902.00295</a> <span> [<a href="https://arxiv.org/pdf/1902.00295">pdf</a>, <a href="https://arxiv.org/format/1902.00295">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"> QED corrections to leptonic decay rates </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P+A">P. A. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Guelpers%2C+V">V. Guelpers</a>, <a href="/search/hep-lat?searchtype=author&query=Juettner%2C+A">A. Juettner</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">C. Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=hOgain%2C+F+O">F. O hOgain</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">A. Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Richings%2C+J+P">J. P. Richings</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">C. T. Sachrajda</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="1902.00295v2-abstract-short" style="display: inline;"> RBC/UKQCD is preparing a calculation of leptonic decay rates including isospin breaking corrections using a perturbative approach to include NLO contributions from QED effects. We present preliminary numerical results for a contribution to the leptonic pion decay rate and report on exploratory studies of computational techniques based on all-to-all propagators. </span> <span class="abstract-full has-text-grey-dark mathjax" id="1902.00295v2-abstract-full" style="display: none;"> RBC/UKQCD is preparing a calculation of leptonic decay rates including isospin breaking corrections using a perturbative approach to include NLO contributions from QED effects. We present preliminary numerical results for a contribution to the leptonic pion decay rate and report on exploratory studies of computational techniques based on all-to-all propagators. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1902.00295v2-abstract-full').style.display = 'none'; document.getElementById('1902.00295v2-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, 2019; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 1 February, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 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">Proceedings</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1812.09562">arXiv:1812.09562</a> <span> [<a href="https://arxiv.org/pdf/1812.09562">pdf</a>, <a href="https://arxiv.org/format/1812.09562">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 breaking corrections to the HVP at the physical point </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">Vera G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">Christoph Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</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="1812.09562v1-abstract-short" style="display: inline;"> A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a lattice calculation of the QED and strong isospin breaking corrections to the hadronic vacuum polarization with Domain Wall fermions. The results are obtained u… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1812.09562v1-abstract-full').style.display = 'inline'; document.getElementById('1812.09562v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1812.09562v1-abstract-full" style="display: none;"> A determination of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon from lattice QCD aiming at a precision of $1\%$ requires to include isospin breaking corrections in the computation. We present a lattice calculation of the QED and strong isospin breaking corrections to the hadronic vacuum polarization with Domain Wall fermions. The results are obtained using quark masses which are tuned such that pion and kaon masses agree with their physical values including isospin breaking corrections. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1812.09562v1-abstract-full').style.display = 'none'; document.getElementById('1812.09562v1-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> 22 December, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 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, 4 figures, presented at the 36th Annual International Symposium on Lattice Field Theory - LATTICE2018 - 22-28 July, 2018, Michigan State University, 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/1812.08791">arXiv:1812.08791</a> <span> [<a href="https://arxiv.org/pdf/1812.08791">pdf</a>, <a href="https://arxiv.org/format/1812.08791">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"> SU(3)-breaking ratios for $D_{(s)}$ and $B_{(s)}$ mesons </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P+A">Peter A Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Garron%2C+N">Nicolas Garron</a>, <a href="/search/hep-lat?searchtype=author&query=Juttner%2C+A">Andreas Juttner</a>, <a href="/search/hep-lat?searchtype=author&query=Soni%2C+A">Amarjit Soni</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">Justus Tobias Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">Oliver Witzel</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="1812.08791v2-abstract-short" style="display: inline;"> We present results for the $SU(3)$ breaking ratios of decay constants $f_{D_s}/f_D$ and $f_{B_s}/f_B$ and - for the first time with physical pion masses - the ratio of bag parameters $B_{B_s}/B_{B_d}$, as well as the ratio $尉$, forming the ratio of the nonpeturbative contributions to neutral $B_{(s)}$ meson mixing. Our results are based on Lattice QCD simulations with chirally symmetric 2+1 dynami… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1812.08791v2-abstract-full').style.display = 'inline'; document.getElementById('1812.08791v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1812.08791v2-abstract-full" style="display: none;"> We present results for the $SU(3)$ breaking ratios of decay constants $f_{D_s}/f_D$ and $f_{B_s}/f_B$ and - for the first time with physical pion masses - the ratio of bag parameters $B_{B_s}/B_{B_d}$, as well as the ratio $尉$, forming the ratio of the nonpeturbative contributions to neutral $B_{(s)}$ meson mixing. Our results are based on Lattice QCD simulations with chirally symmetric 2+1 dynamical flavors of domain wall fermions. Eight ensembles at three different lattice spacing in the range $a = 0.11 - 0.07\,\mathrm{fm}$ enter the analysis two of which feature physical light quark masses. Multiple heavy quark masses are simulated ranging from below the charm quark mass to half the bottom quark mass. The $SU(3)$ breaking ratios display a very benign heavy mass behaviour allowing for extrapolation to the physical bottom quark mass. The results in the continuum limit including all sources of systematic errors are $f_{D_s}/f_D = 1.1740(51)_\mathrm{stat}(^{+68}_{-68})_\mathrm{sys}$, $f_{B_s}/f_B = 1.1949(60)_\mathrm{stat}(^{+\hphantom{0}95}_{-175})_\mathrm{sys}$, $B_{B_s}/B_{B_d} = 0.9984(45)_\mathrm{stat}(^{+80}_{-63})_\mathrm{sys}$ and $尉= 1.1939(67)_\mathrm{stat}(^{+\hphantom{0}95}_{-177})_\mathrm{sys}$. Combining these with experimentally measured values we extract the ratios of CKM matrix elements $|V_{cd}/V_{cs}| = 0.2164(57)_\mathrm{exp}(^{+12}_{-12})_\mathrm{lat}$ and $|V_{td}/V_{ts}| = 0.20329(41)_\mathrm{exp}(^{+162}_{-301})_\mathrm{lat}$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1812.08791v2-abstract-full').style.display = 'none'; document.getElementById('1812.08791v2-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 June, 2020; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 20 December, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 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">*temporary entry* 42 pages, 23 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/1812.04981">arXiv:1812.04981</a> <span> [<a href="https://arxiv.org/pdf/1812.04981">pdf</a>, <a href="https://arxiv.org/format/1812.04981">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"> Beyond the Standard Model Kaon Mixing with Physical Masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Garron%2C+N">Nicolas Garron</a>, <a href="/search/hep-lat?searchtype=author&query=Hudspith%2C+R+J">Renwick James Hudspith</a>, <a href="/search/hep-lat?searchtype=author&query=Juttner%2C+A">Andreas Juttner</a>, <a href="/search/hep-lat?searchtype=author&query=Kettle%2C+J">Julia Kettle</a>, <a href="/search/hep-lat?searchtype=author&query=Khamseh%2C+A">Ava Khamseh</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">Justus Tobias Tsang</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="1812.04981v2-abstract-short" style="display: inline;"> We present results from a calculation of beyond the standard model (BSM) kaon mixing including data physical with light quark masses. We simulate $N_f=2+1$ QCD with Iwasaki gauge and domain wall fermion action on 8 ensembles, spanning 3 lattice spacings and pion masses from the physical value up to 430MeV. The ratio of the BSM to standard model (SM) matrix elements are extracted from the correlati… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1812.04981v2-abstract-full').style.display = 'inline'; document.getElementById('1812.04981v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1812.04981v2-abstract-full" style="display: none;"> We present results from a calculation of beyond the standard model (BSM) kaon mixing including data physical with light quark masses. We simulate $N_f=2+1$ QCD with Iwasaki gauge and domain wall fermion action on 8 ensembles, spanning 3 lattice spacings and pion masses from the physical value up to 430MeV. The ratio of the BSM to standard model (SM) matrix elements are extracted from the correlation functions and renormalised using the RI-SMOM Rome-Southampton method with non-exceptional kinematics. The results at the physical point continuum limit are found by performing a simultaneous continuum chiral extrapolation. In this work we gain consistency with our previous results and achieve a reduction in both the statistical and systematic error. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1812.04981v2-abstract-full').style.display = 'none'; document.getElementById('1812.04981v2-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> 15 December, 2018; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 12 December, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 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">The 36th Annual International Symposium on Lattice Field</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1810.05923">arXiv:1810.05923</a> <span> [<a href="https://arxiv.org/pdf/1810.05923">pdf</a>, <a href="https://arxiv.org/format/1810.05923">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/10.1103/PhysRevD.99.034510">10.1103/PhysRevD.99.034510 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Theoretical aspects of quantum electrodynamics in a finite volume with periodic boundary conditions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Davoudi%2C+Z">Zohreh Davoudi</a>, <a href="/search/hep-lat?searchtype=author&query=Harrison%2C+J">James Harrison</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Savage%2C+M+J">Martin J. Savage</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="1810.05923v2-abstract-short" style="display: inline;"> First-principles studies of strongly-interacting hadronic systems using lattice quantum chromodynamics (QCD) have been complemented in recent years with the inclusion of quantum electrodynamics (QED). The aim is to confront experimental results with more precise theoretical determinations, e.g. for the anomalous magnetic moment of the muon and the CP-violating parameters in the decay of mesons. Qu… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1810.05923v2-abstract-full').style.display = 'inline'; document.getElementById('1810.05923v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1810.05923v2-abstract-full" style="display: none;"> First-principles studies of strongly-interacting hadronic systems using lattice quantum chromodynamics (QCD) have been complemented in recent years with the inclusion of quantum electrodynamics (QED). The aim is to confront experimental results with more precise theoretical determinations, e.g. for the anomalous magnetic moment of the muon and the CP-violating parameters in the decay of mesons. Quantifying the effects arising from enclosing QED in a finite volume remains a primary target of investigations. To this end, finite-volume corrections to hadron masses in the presence of QED have been carefully studied in recent years. This paper extends such studies to the self-energy of moving charged hadrons, both on and away from their mass shell. In particular, we present analytical results for leading finite-volume corrections to the self-energy of spin-0 and spin-$\frac{1}{2}$ particles in the presence of QED on a periodic hypercubic lattice, once the spatial zero mode of the photon is removed, a framework that is called $\mathrm{QED}_{\mathrm{L}}$. By altering modes beyond the zero mode, an improvement scheme is introduced to eliminate the leading finite-volume corrections to masses, with potential applications to other hadronic quantities. Our analytical results are verified by a dedicated numerical study of a lattice scalar field theory coupled to $\mathrm{QED}_{\mathrm{L}}$. Further, this paper offers new perspectives on the subtleties involved in applying low-energy effective field theories in the presence of $\mathrm{QED}_{\mathrm{L}}$, a theory that is rendered non-local with the exclusion of the spatial zero mode of the photon, clarifying recent discussions on this matter. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1810.05923v2-abstract-full').style.display = 'none'; document.getElementById('1810.05923v2-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 March, 2019; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 13 October, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 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">57 pages, 10 figures, version accepted for publication in Phys. Rev. D</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> INT-PUB-18-051, UMD-PP-018-07 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 99, 034510 (2019) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1803.07228">arXiv:1803.07228</a> <span> [<a href="https://arxiv.org/pdf/1803.07228">pdf</a>, <a href="https://arxiv.org/ps/1803.07228">ps</a>, <a href="https://arxiv.org/format/1803.07228">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> <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"> Novel $|V_{us}|$ Determination Using Inclusive Strange $蟿$ Decay and Lattice HVPs </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Hudspith%2C+R+J">Renwick James Hudspith</a>, <a href="/search/hep-lat?searchtype=author&query=Izubuchi%2C+T">Taku Izubuchi</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">Christoph Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Lewis%2C+R">Randy Lewis</a>, <a href="/search/hep-lat?searchtype=author&query=Maltman%2C+K">Kim Maltman</a>, <a href="/search/hep-lat?searchtype=author&query=Ohki%2C+H">Hiroshi Ohki</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Spraggs%2C+M">Matthew Spraggs</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="1803.07228v2-abstract-short" style="display: inline;"> We propose and apply a new approach to determining $|V_{us}|$ using dispersion relations with weight functions having poles at Euclidean (space-like) momentum which relate strange hadronic $蟿$ decay distributions to hadronic vacuum polarization functions (HVPs) obtained from lattice QCD. We show examples where spectral integral contributions from the region where experimental data have large error… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1803.07228v2-abstract-full').style.display = 'inline'; document.getElementById('1803.07228v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1803.07228v2-abstract-full" style="display: none;"> We propose and apply a new approach to determining $|V_{us}|$ using dispersion relations with weight functions having poles at Euclidean (space-like) momentum which relate strange hadronic $蟿$ decay distributions to hadronic vacuum polarization functions (HVPs) obtained from lattice QCD. We show examples where spectral integral contributions from the region where experimental data have large errors or do not exist are strongly suppressed but accurate determinations of the relevant lattice HVP combinations remain possible. The resulting $|V_{us}|$ agrees well with determinations from $K$ physics and 3-family CKM unitarity. Advantages of this new approach over the conventional hadronic $蟿$ decay determination employing flavor-breaking sum rules are also discussed. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1803.07228v2-abstract-full').style.display = 'none'; document.getElementById('1803.07228v2-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 November, 2018; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 19 March, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 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">10 pages, 11 figures. References added and minor modifications. Accepted for publication in Physical Review Letters</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 121, 202003 (2018) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1801.07224">arXiv:1801.07224</a> <span> [<a href="https://arxiv.org/pdf/1801.07224">pdf</a>, <a href="https://arxiv.org/format/1801.07224">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.121.022003">10.1103/PhysRevLett.121.022003 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">T. Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P+A">P. A. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">V. G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Izubuchi%2C+T">T. Izubuchi</a>, <a href="/search/hep-lat?searchtype=author&query=Jin%2C+L">L. Jin</a>, <a href="/search/hep-lat?searchtype=author&query=Jung%2C+C">C. Jung</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">C. Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">A. Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. T. Tsang</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="1801.07224v1-abstract-short" style="display: inline;"> We present a first-principles lattice QCD+QED calculation at physical pion mass of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm quarks including QED and strong isospin breaking effects is found to be $a_渭^{\rm HVP~LO}=715.4(16.3)(9.2) \times 10^{-10}$, where the first error is statistical a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1801.07224v1-abstract-full').style.display = 'inline'; document.getElementById('1801.07224v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1801.07224v1-abstract-full" style="display: none;"> We present a first-principles lattice QCD+QED calculation at physical pion mass of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm quarks including QED and strong isospin breaking effects is found to be $a_渭^{\rm HVP~LO}=715.4(16.3)(9.2) \times 10^{-10}$, where the first error is statistical and the second is systematic. By supplementing lattice data for very short and long distances with experimental R-ratio data using the compilation of Ref. [1], we significantly improve the precision of our calculation and find $a_渭^{\rm HVP~LO} = 692.5(1.4)(0.5)(0.7)(2.1) \times 10^{-10}$ with lattice statistical, lattice systematic, R-ratio statistical, and R-ratio systematic errors given separately. This is the currently most precise determination of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. In addition, we present the first lattice calculation of the light-quark QED correction at physical pion mass. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1801.07224v1-abstract-full').style.display = 'none'; document.getElementById('1801.07224v1-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> 22 January, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 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">12 pages, 11 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. 121, 022003 (2018) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1712.00862">arXiv:1712.00862</a> <span> [<a href="https://arxiv.org/pdf/1712.00862">pdf</a>, <a href="https://arxiv.org/format/1712.00862">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/201817513013">10.1051/epjconf/201817513013 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Heavy Domain Wall Fermions: The RBC and UKQCD charm physics program </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P+A">P. A. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">L. Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Juttner%2C+A">A. Juttner</a>, <a href="/search/hep-lat?searchtype=author&query=Khamseh%2C+A">A. Khamseh</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">J. T. Tsang</a>, <a href="/search/hep-lat?searchtype=author&query=Witzel%2C+O">O. Witzel</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="1712.00862v1-abstract-short" style="display: inline;"> We review the domain wall charm physics program of the RBC and UKQCD collaborations based on simulations including ensembles with physical pion mass. We summarise our current set-up and present a status update on the decay constants $f_D$, $f_{D_s}$, the charm quark mass, heavy-light and heavy-strange bag parameters and the ratio $尉$. </span> <span class="abstract-full has-text-grey-dark mathjax" id="1712.00862v1-abstract-full" style="display: none;"> We review the domain wall charm physics program of the RBC and UKQCD collaborations based on simulations including ensembles with physical pion mass. We summarise our current set-up and present a status update on the decay constants $f_D$, $f_{D_s}$, the charm quark mass, heavy-light and heavy-strange bag parameters and the ratio $尉$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1712.00862v1-abstract-full').style.display = 'none'; document.getElementById('1712.00862v1-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 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 pagers, 4 figures, conference proceedings for Lattice2017 submitted to EPJ Web of Conferences</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.07190">arXiv:1710.07190</a> <span> [<a href="https://arxiv.org/pdf/1710.07190">pdf</a>, <a href="https://arxiv.org/format/1710.07190">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/201817506024">10.1051/epjconf/201817506024 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Isospin Breaking Corrections to the HVP with Domain Wall Fermions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">Vera G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Harrison%2C+J">James Harrison</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">Christoph Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">Antonin Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C">Christopher Sachrajda</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="1710.07190v1-abstract-short" style="display: inline;"> We present results for the QED and strong isospin breaking corrections to the hadronic vacuum polarization using $N_f=2+1$ Domain Wall fermions. QED is included in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. Results and statistical errors from both methods are directly compared with each other. </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.07190v1-abstract-full" style="display: none;"> We present results for the QED and strong isospin breaking corrections to the hadronic vacuum polarization using $N_f=2+1$ Domain Wall fermions. QED is included in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. Results and statistical errors from both methods are directly compared with each other. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.07190v1-abstract-full').style.display = 'none'; document.getElementById('1710.07190v1-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 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, 6 figures, presented at the 35th International Symposium on Lattice Field Theory (Lattice 2017), Granada, Spain, June 18-24, 2017</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1710.07036">arXiv:1710.07036</a> <span> [<a href="https://arxiv.org/pdf/1710.07036">pdf</a>, <a href="https://arxiv.org/format/1710.07036">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/201817502008">10.1051/epjconf/201817502008 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Testing algorithms for critical slowing down </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Cossu%2C+G">Guido Cossu</a>, <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N">Norman Christ</a>, <a href="/search/hep-lat?searchtype=author&query=Jung%2C+C">Chulwoo Jung</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">Andreas J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</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="1710.07036v1-abstract-short" style="display: inline;"> We present the preliminary tests on two modifications of the Hybrid Monte Carlo (HMC) algorithm. Both algorithms are designed to travel much farther in the Hamiltonian phase space for each trajectory and reduce the autocorrelations among physical observables thus tackling the critical slowing down towards the continuum limit. We present a comparison of costs of the new algorithms with the standard… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.07036v1-abstract-full').style.display = 'inline'; document.getElementById('1710.07036v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1710.07036v1-abstract-full" style="display: none;"> We present the preliminary tests on two modifications of the Hybrid Monte Carlo (HMC) algorithm. Both algorithms are designed to travel much farther in the Hamiltonian phase space for each trajectory and reduce the autocorrelations among physical observables thus tackling the critical slowing down towards the continuum limit. We present a comparison of costs of the new algorithms with the standard HMC evolution for pure gauge fields, studying the autocorrelation times for various quantities including the topological charge. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1710.07036v1-abstract-full').style.display = 'none'; document.getElementById('1710.07036v1-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 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, Lattice 2017 conference proceedings</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1706.05293">arXiv:1706.05293</a> <span> [<a href="https://arxiv.org/pdf/1706.05293">pdf</a>, <a href="https://arxiv.org/format/1706.05293">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/10.1007/JHEP09(2017)153">10.1007/JHEP09(2017)153 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">P. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=G%C3%BClpers%2C+V">V. G眉lpers</a>, <a href="/search/hep-lat?searchtype=author&query=Harrison%2C+J">J. Harrison</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%BCttner%2C+A">A. J眉ttner</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">C. Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Portelli%2C+A">A. Portelli</a>, <a href="/search/hep-lat?searchtype=author&query=Sachrajda%2C+C+T">C. T. Sachrajda</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="1706.05293v1-abstract-short" style="display: inline;"> We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin symmetric pion mass of $m_蟺=340$ MeV. We include QED in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. We find that… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1706.05293v1-abstract-full').style.display = 'inline'; document.getElementById('1706.05293v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1706.05293v1-abstract-full" style="display: none;"> We calculate the strong isospin breaking and QED corrections to meson masses and the hadronic vacuum polarization in an exploratory study on a $64\times24^3$ lattice with an inverse lattice spacing of $a^{-1}=1.78$ GeV and an isospin symmetric pion mass of $m_蟺=340$ MeV. We include QED in an electro-quenched setup using two different methods, a stochastic and a perturbative approach. We find that the electromagnetic correction to the leading hadronic contribution to the anomalous magnetic moment of the muon is smaller than $1\%$ for the up quark and $0.1\%$ for the strange quark, although it should be noted that this is obtained using unphysical light quark masses. In addition to the results themselves, we compare the precision which can be reached for the same computational cost using each method. Such a comparison is also made for the meson electromagnetic mass-splittings. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1706.05293v1-abstract-full').style.display = 'none'; document.getElementById('1706.05293v1-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> 16 June, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 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">49 pages, 20 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/1701.02644">arXiv:1701.02644</a> <span> [<a href="https://arxiv.org/pdf/1701.02644">pdf</a>, <a href="https://arxiv.org/format/1701.02644">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/10.1007/JHEP12(2017)008">10.1007/JHEP12(2017)008 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The decay constants ${\mathbf{f_D}}$ and ${\mathbf{f_{D_{s}}}}$ in the continuum limit of ${\mathbf{N_f=2+1}}$ domain wall lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P+A">Peter A. Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Del+Debbio%2C+L">Luigi Del Debbio</a>, <a href="/search/hep-lat?searchtype=author&query=Juttner%2C+A">Andreas Juttner</a>, <a href="/search/hep-lat?searchtype=author&query=Khamseh%2C+A">Ava Khamseh</a>, <a href="/search/hep-lat?searchtype=author&query=Sanfilippo%2C+F">Francesco Sanfilippo</a>, <a href="/search/hep-lat?searchtype=author&query=Tsang%2C+J+T">Justus Tobias Tsang</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="1701.02644v1-abstract-short" style="display: inline;"> We present results for the decay constants of the $D$ and $D_s$ mesons computed in lattice QCD with $N_f=2+1$ dynamical flavours. The simulations are based on RBC/UKQCD's domain wall ensembles with both physical and unphysical light-quark masses and lattice spacings in the range 0.11--0.07$\,$fm. We employ the domain wall discretisation for all valence quarks. The results in the continuum limit… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1701.02644v1-abstract-full').style.display = 'inline'; document.getElementById('1701.02644v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1701.02644v1-abstract-full" style="display: none;"> We present results for the decay constants of the $D$ and $D_s$ mesons computed in lattice QCD with $N_f=2+1$ dynamical flavours. The simulations are based on RBC/UKQCD's domain wall ensembles with both physical and unphysical light-quark masses and lattice spacings in the range 0.11--0.07$\,$fm. We employ the domain wall discretisation for all valence quarks. The results in the continuum limit are $f_D=208.7(2.8)_\mathrm{stat}\left(^{+2.1}_{-1.8}\right)_\mathrm{sys}\,\mathrm{MeV}$ and $f_{D_{s}}=246.4(1.3)_\mathrm{stat}\left(^{+1.3}_{-1.9}\right)_\mathrm{sys}\,\mathrm{MeV}$ and $f_{D_s}/f_D=1.1667(77)_\mathrm{stat}\left(^{+57}_{-43}\right)_\mathrm{sys}$. Using these results in a Standard Model analysis we compute the predictions $|V_{cd}|=0.2185(50)_\mathrm{exp}\left(^{+35}_{-37}\right)_\mathrm{lat}$ and $|V_{cs}|=1.011(16)_\mathrm{exp}\left(^{+4}_{-9}\right)_\mathrm{lat}$ for the CKM matrix elements. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1701.02644v1-abstract-full').style.display = 'none'; document.getElementById('1701.02644v1-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 January, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2017. </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=Juttner%2C+A&start=50" class="pagination-next" >Next </a> 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