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<div class="control is-expanded"> <label for="query" class="hidden-label">Search term or terms</label> <input class="input is-medium" id="query" name="query" placeholder="Search term..." type="text" value="Hill, R"> </div> <div class="select control is-medium"> <label class="is-hidden" for="searchtype">Field</label> <select class="is-medium" id="searchtype" name="searchtype"><option value="all">All fields</option><option value="title">Title</option><option selected value="author">Author(s)</option><option value="abstract">Abstract</option><option value="comments">Comments</option><option value="journal_ref">Journal reference</option><option value="acm_class">ACM classification</option><option value="msc_class">MSC classification</option><option value="report_num">Report number</option><option value="paper_id">arXiv identifier</option><option value="doi">DOI</option><option value="orcid">ORCID</option><option value="license">License (URI)</option><option value="author_id">arXiv author 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name="searchtype"><option value="all">All fields</option><option value="title">Title</option><option selected value="author">Author(s)</option><option value="abstract">Abstract</option><option value="comments">Comments</option><option value="journal_ref">Journal reference</option><option value="acm_class">ACM classification</option><option value="msc_class">MSC classification</option><option value="report_num">Report number</option><option value="paper_id">arXiv identifier</option><option value="doi">DOI</option><option value="orcid">ORCID</option><option value="license">License (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="Hill, R"> <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" 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is-link">Go</button> </div> </div> </form> </div> </div> <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/2410.20590">arXiv:2410.20590</a> <span> [<a href="https://arxiv.org/pdf/2410.20590">pdf</a>, <a href="https://arxiv.org/format/2410.20590">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> The long-distance window of the hadronic vacuum polarization for the muon g-2 </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=Chakraborty%2C+B">B. Chakraborty</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">F. Erben</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=Hackl%2C+A">A. Hackl</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=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=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=Lehner%2C+C">C. Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=McKeon%2C+J">J. McKeon</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=Tomii%2C+M">M. Tomii</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=Tuo%2C+X+-">X. -Y. Tuo</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="2410.20590v1-abstract-short" style="display: inline;"> We provide the first ab-initio calculation of the Euclidean long-distance window of the isospin symmetric light-quark connected contribution to the hadronic vacuum polarization for the muon $g-2$ and find $a_渭^{\rm LD,iso,conn,ud} = 411.4(4.3)(2.4) \times 10^{-10}$. We also provide the currently most precise calculation of the total isospin symmetric light-quark connected contribution,… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.20590v1-abstract-full').style.display = 'inline'; document.getElementById('2410.20590v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2410.20590v1-abstract-full" style="display: none;"> We provide the first ab-initio calculation of the Euclidean long-distance window of the isospin symmetric light-quark connected contribution to the hadronic vacuum polarization for the muon $g-2$ and find $a_渭^{\rm LD,iso,conn,ud} = 411.4(4.3)(2.4) \times 10^{-10}$. We also provide the currently most precise calculation of the total isospin symmetric light-quark connected contribution, $a_渭^{\rm iso,conn,ud} = 666.2(4.3)(2.5) \times 10^{-10}$, which is more than 4$蟽$ larger compared to the data-driven estimates of Boito et al. 2022 and 1.7$蟽$ larger compared to the lattice QCD result of BMW20. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.20590v1-abstract-full').style.display = 'none'; document.getElementById('2410.20590v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 October, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 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">12 pages, 9 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/2410.11386">arXiv:2410.11386</a> <span> [<a href="https://arxiv.org/pdf/2410.11386">pdf</a>, <a href="https://arxiv.org/format/2410.11386">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"> Progress on the spectroscopy of lattice gauge theories using spectral densities </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bennett%2C+E">Ed Bennett</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=Forzano%2C+N">Niccol貌 Forzano</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=Hong%2C+D+K">Deog Ki Hong</a>, <a href="/search/hep-lat?searchtype=author&query=Hsiao%2C+H">Ho Hsiao</a>, <a href="/search/hep-lat?searchtype=author&query=Lee%2C+J">Jong-Wan Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Lin%2C+C+-+D">C. -J. David Lin</a>, <a href="/search/hep-lat?searchtype=author&query=Lucini%2C+B">Biagio Lucini</a>, <a href="/search/hep-lat?searchtype=author&query=Lupo%2C+A">Alessandro Lupo</a>, <a href="/search/hep-lat?searchtype=author&query=Piai%2C+M">Maurizio Piai</a>, <a href="/search/hep-lat?searchtype=author&query=Vadacchino%2C+D">Davide Vadacchino</a>, <a href="/search/hep-lat?searchtype=author&query=Zierler%2C+F">Fabian Zierler</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="2410.11386v2-abstract-short" style="display: inline;"> Spectral densities encode non-perturbative information crucial in computing physical observables in strongly coupled field theories. Using lattice gauge theory data, we perform a systematic study to demonstrate the potential of recent technological advances in the reconstruction of spectral densities. We develop, maintain and make publicly available dedicated analysis code that can be used for bro… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.11386v2-abstract-full').style.display = 'inline'; document.getElementById('2410.11386v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2410.11386v2-abstract-full" style="display: none;"> Spectral densities encode non-perturbative information crucial in computing physical observables in strongly coupled field theories. Using lattice gauge theory data, we perform a systematic study to demonstrate the potential of recent technological advances in the reconstruction of spectral densities. We develop, maintain and make publicly available dedicated analysis code that can be used for broad classes of lattice theories. As a test case, we analyse the Sp(4) gauge theory coupled to an admixture of fermions transforming in the fundamental and two-index antisymmetric representations. We measure the masses of mesons in energy-smeared spectral densities, after optimising the smearing parameters for available lattice ensembles. We present a summary of the mesons mass spectrum in all the twelve (flavored) channels available, including also several excited states. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.11386v2-abstract-full').style.display = 'none'; document.getElementById('2410.11386v2-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 October, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 15 October, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, 5 figures, contribution for the 41th International Symposium on Lattice Field Theory (Lattice 2024), 28 July - 3 August 2024, Liverpool, UK, presenting the results of the paper: arXiv:2405.01388</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> CTPU-PTC-24-11, PNUTP-24/A02 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2405.01388">arXiv:2405.01388</a> <span> [<a href="https://arxiv.org/pdf/2405.01388">pdf</a>, <a href="https://arxiv.org/format/2405.01388">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"> Meson spectroscopy from spectral densities in lattice gauge theories </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bennett%2C+E">Ed Bennett</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=Forzano%2C+N">Niccol貌 Forzano</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=Hong%2C+D+K">Deog Ki Hong</a>, <a href="/search/hep-lat?searchtype=author&query=Hsiao%2C+H">Ho Hsiao</a>, <a href="/search/hep-lat?searchtype=author&query=Lee%2C+J">Jong-Wan Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Lin%2C+C+-+D">C. -J. David Lin</a>, <a href="/search/hep-lat?searchtype=author&query=Lucini%2C+B">Biagio Lucini</a>, <a href="/search/hep-lat?searchtype=author&query=Lupo%2C+A">Alessandro Lupo</a>, <a href="/search/hep-lat?searchtype=author&query=Piai%2C+M">Maurizio Piai</a>, <a href="/search/hep-lat?searchtype=author&query=Vadacchino%2C+D">Davide Vadacchino</a>, <a href="/search/hep-lat?searchtype=author&query=Zierler%2C+F">Fabian Zierler</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="2405.01388v2-abstract-short" style="display: inline;"> Spectral densities encode non-perturbative information that enters the calculation of a plethora of physical observables in strongly coupled field theories. Phenomenological applications encompass aspects of standard-model hadronic physics, observable at current colliders, as well as correlation functions characterizing new physics proposals, testable in future experiments. By making use of numeri… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2405.01388v2-abstract-full').style.display = 'inline'; document.getElementById('2405.01388v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2405.01388v2-abstract-full" style="display: none;"> Spectral densities encode non-perturbative information that enters the calculation of a plethora of physical observables in strongly coupled field theories. Phenomenological applications encompass aspects of standard-model hadronic physics, observable at current colliders, as well as correlation functions characterizing new physics proposals, testable in future experiments. By making use of numerical data produced in a Sp(4) lattice gauge theory with matter transforming in an admixture of fundamental and 2-index antisymmetric representations of the gauge group, we perform a systematic study to demonstrate the effectiveness of recent technological progress in the reconstruction of spectral densities. To this purpose, we write and test new software packages that use energy-smeared spectral densities to analyze the mass spectrum of mesons. We assess the effectiveness of different smearing kernels and optimize the smearing parameters to the characteristics of available lattice ensembles. We generate new ensembles for the theory in consideration, with lattices that have a longer extent in the time direction with respect to the spatial ones. We run our tests on these ensembles, obtaining new results about the spectrum of light mesons and their excitations. We make available our algorithm and software for the extraction of spectral densities, that can be applied to theories with other gauge groups, including the theory of strong interactions (QCD) governing hadronic physics in the standard model. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2405.01388v2-abstract-full').style.display = 'none'; document.getElementById('2405.01388v2-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 September, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 2 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">Version approved for publication. 45 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/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/2301.08696">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/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/2203.10998">arXiv:2203.10998</a> <span> [<a href="https://arxiv.org/pdf/2203.10998">pdf</a>, <a href="https://arxiv.org/ps/2203.10998">ps</a>, <a href="https://arxiv.org/format/2203.10998">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"> Discovering new physics in rare kaon decays </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">Thomas Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Bruno%2C+M">Mattia Bruno</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N">Norman Christ</a>, <a href="/search/hep-lat?searchtype=author&query=Erben%2C+F">Felix Erben</a>, <a href="/search/hep-lat?searchtype=author&query=Feng%2C+X">Xu Feng</a>, <a href="/search/hep-lat?searchtype=author&query=Guelpers%2C+V">Vera Guelpers</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R">Ryan Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Hodgson%2C+R">Raoul Hodgson</a>, <a href="/search/hep-lat?searchtype=author&query=Hoying%2C+D">Danel Hoying</a>, <a href="/search/hep-lat?searchtype=author&query=Izubuchi%2C+T">Taku Izubuchi</a>, <a href="/search/hep-lat?searchtype=author&query=Jang%2C+Y">Yong-Chull Jang</a>, <a href="/search/hep-lat?searchtype=author&query=Jin%2C+L">Luchang Jin</a>, <a href="/search/hep-lat?searchtype=author&query=Jung%2C+C">Chulwoo Jung</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">Joe Karpie</a>, <a href="/search/hep-lat?searchtype=author&query=Kelly%2C+C">Christopher Kelly</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>, <a href="/search/hep-lat?searchtype=author&query=Soni%2C+A">Amarjit Soni</a>, <a href="/search/hep-lat?searchtype=author&query=Tomii%2C+M">Masaaki Tomii</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+B">Bigeng Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+T">Tianle Wang</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="2203.10998v1-abstract-short" style="display: inline;"> The decays and mixing of $K$ mesons are remarkably sensitive to the weak interactions of quarks and leptons at high energies. They provide important tests of the standard model at both first and second order in the Fermi constant $G_F$ and offer a window into possible new phenomena at energies as high as 1,000 TeV. These possibilities become even more compelling as the growing capabilities of latt… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2203.10998v1-abstract-full').style.display = 'inline'; document.getElementById('2203.10998v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2203.10998v1-abstract-full" style="display: none;"> The decays and mixing of $K$ mesons are remarkably sensitive to the weak interactions of quarks and leptons at high energies. They provide important tests of the standard model at both first and second order in the Fermi constant $G_F$ and offer a window into possible new phenomena at energies as high as 1,000 TeV. These possibilities become even more compelling as the growing capabilities of lattice QCD make high-precision standard model predictions possible. Here we discuss and attempt to forecast some of these capabilities. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2203.10998v1-abstract-full').style.display = 'none'; document.getElementById('2203.10998v1-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> 21 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">submitted to the Rare Processes and Precision, Theory and Computational Frontiers for the Proceedings of the US Community Study on the Future of Particle Physics (Snowmass 2021)</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2202.08795">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/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/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/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/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/1708.08462">arXiv:1708.08462</a> <span> [<a href="https://arxiv.org/pdf/1708.08462">pdf</a>, <a href="https://arxiv.org/format/1708.08462">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> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1361-6633/aac190">10.1088/1361-6633/aac190 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Nucleon Axial Radius and Muonic Hydrogen - A New Analysis and Review </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+J">Richard J. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Kammel%2C+P">Peter Kammel</a>, <a href="/search/hep-lat?searchtype=author&query=Marciano%2C+W+J">William J. Marciano</a>, <a href="/search/hep-lat?searchtype=author&query=Sirlin%2C+A">Alberto Sirlin</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="1708.08462v3-abstract-short" style="display: inline;"> Weak capture in muonic hydrogen ($渭$H) as a probe of the chiral properties and nucleon structure predictions of Quantum Chromodynamics (QCD) is reviewed. A recent determination of the axial-vector charge radius squared, $r_A^2(z\; {\rm exp.}) = 0.46(22)\;{\rm fm}^2$, from a model independent $z$ expansion analysis of neutrino-nucleon scattering data is employed in conjunction with the MuCap measur… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1708.08462v3-abstract-full').style.display = 'inline'; document.getElementById('1708.08462v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1708.08462v3-abstract-full" style="display: none;"> Weak capture in muonic hydrogen ($渭$H) as a probe of the chiral properties and nucleon structure predictions of Quantum Chromodynamics (QCD) is reviewed. A recent determination of the axial-vector charge radius squared, $r_A^2(z\; {\rm exp.}) = 0.46(22)\;{\rm fm}^2$, from a model independent $z$ expansion analysis of neutrino-nucleon scattering data is employed in conjunction with the MuCap measurement of the singlet muonic hydrogen capture rate, $螞_{\rm singlet}^{\rm MuCap} = 715.6(7.4)\;{\rm s}^{-1}$, to update the induced pseudoscalar nucleon coupling: $\bar{g}_P^{\rm MuCap} = 8.23(83)$ derived from experiment, and $\bar{g}_P^{\rm theory} = 8.25(25)$ predicted by chiral perturbation theory. Accounting for correlated errors this implies $\bar{g}_P^{\rm theory}/\bar{g}_P^{\rm MuCap}= 1.00(8)$, confirming theory at the 8% level. If instead, the predicted expression for $\bar{g}_P^{\rm theory}$ is employed as input, then the capture rate alone determines $r_A^2(渭{\rm H})=0.46(24)\, {\rm fm}^2$, or together with the independent $z$ expansion neutrino scattering results, a weighted average $r_A^2({\rm ave.}) = 0.46(16)\, {\rm fm}^2$. Sources of theoretical uncertainty are critically examined and potential experimental improvements are described that can reduce the capture rate error by about a factor of 3. Muonic hydrogen can thus provide a precise and independent $r_A^2$ value which may be compared with other determinations, such as ongoing lattice gauge theory calculations. The importance of an improved $r_A^2$ determination for phenomenology is illustrated by considering the impact on critical neutrino-nucleus cross sections at neutrino oscillation experiments. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1708.08462v3-abstract-full').style.display = 'none'; document.getElementById('1708.08462v3-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 August, 2018; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 28 August, 2017; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 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">36 pages, 7 figures. v2: improved discussion of radiative corrections with reduced uncertainty; updated values for V_{ud} and g_A; references added; version to appear in Rept. Prog. Phys. v3: included missing sentence in g_A discussion on page 12 to make arxiv and published versions identical</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FERMILAB-PUB-17-343-T, INT-PUB-18-038 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Rept.Prog.Phys. 81 (2018) no.9, 096301 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1610.04593">arXiv:1610.04593</a> <span> [<a href="https://arxiv.org/pdf/1610.04593">pdf</a>, <a href="https://arxiv.org/format/1610.04593">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"> Calculation of the Nucleon Axial Form Factor Using Staggered Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Meyer%2C+A+S">Aaron S. Meyer</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+J">Richard J. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Kronfeld%2C+A+S">Andreas S. Kronfeld</a>, <a href="/search/hep-lat?searchtype=author&query=Li%2C+R">Ruizi Li</a>, <a href="/search/hep-lat?searchtype=author&query=Simone%2C+J+N">James N. Simone</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="1610.04593v1-abstract-short" style="display: inline;"> The nucleon axial form factor is a dominant contribution to errors in neutrino oscillation studies. Lattice QCD calculations can help control theory errors by providing first-principles information on nucleon form factors. In these proceedings, we present preliminary results on a blinded calculation of $g_A$ and the axial form factor using HISQ staggered baryons with 2+1+1 flavors of sea quarks. C… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1610.04593v1-abstract-full').style.display = 'inline'; document.getElementById('1610.04593v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1610.04593v1-abstract-full" style="display: none;"> The nucleon axial form factor is a dominant contribution to errors in neutrino oscillation studies. Lattice QCD calculations can help control theory errors by providing first-principles information on nucleon form factors. In these proceedings, we present preliminary results on a blinded calculation of $g_A$ and the axial form factor using HISQ staggered baryons with 2+1+1 flavors of sea quarks. Calculations are done using physical light quark masses and are absolutely normalized. We discuss fitting form factor data with the model-independent $z$ expansion parametrization. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1610.04593v1-abstract-full').style.display = 'none'; document.getElementById('1610.04593v1-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 October, 2016; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2016. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 3 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FERMILAB-CONF-16-451-T </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1311.1076">arXiv:1311.1076</a> <span> [<a href="https://arxiv.org/pdf/1311.1076">pdf</a>, <a href="https://arxiv.org/format/1311.1076">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 - 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="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Report of the Quark Flavor Physics Working Group </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Butler%2C+J+N">J. N. Butler</a>, <a href="/search/hep-lat?searchtype=author&query=Ligeti%2C+Z">Z. Ligeti</a>, <a href="/search/hep-lat?searchtype=author&query=Ritchie%2C+J+L">J. L. Ritchie</a>, <a href="/search/hep-lat?searchtype=author&query=Cirigliano%2C+V">V. Cirigliano</a>, <a href="/search/hep-lat?searchtype=author&query=Kettell%2C+S">S. Kettell</a>, <a href="/search/hep-lat?searchtype=author&query=Briere%2C+R">R. Briere</a>, <a href="/search/hep-lat?searchtype=author&query=Petrov%2C+A+A">A. A. Petrov</a>, <a href="/search/hep-lat?searchtype=author&query=Schwartz%2C+A">A. Schwartz</a>, <a href="/search/hep-lat?searchtype=author&query=Skwarnicki%2C+T">T. Skwarnicki</a>, <a href="/search/hep-lat?searchtype=author&query=Zupan%2C+J">J. Zupan</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N">N. Christ</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=Van+de+Water%2C+R+S">R. S. Van de Water</a>, <a href="/search/hep-lat?searchtype=author&query=Altmannshofer%2C+W">W. Altmannshofer</a>, <a href="/search/hep-lat?searchtype=author&query=Arkani-Hamed%2C+N">N. Arkani-Hamed</a>, <a href="/search/hep-lat?searchtype=author&query=Artuso%2C+M">M. Artuso</a>, <a href="/search/hep-lat?searchtype=author&query=Asner%2C+D+M">D. M. Asner</a>, <a href="/search/hep-lat?searchtype=author&query=Bernard%2C+C">C. Bernard</a>, <a href="/search/hep-lat?searchtype=author&query=Bevan%2C+A+J">A. J. Bevan</a>, <a href="/search/hep-lat?searchtype=author&query=Blanke%2C+M">M. Blanke</a>, <a href="/search/hep-lat?searchtype=author&query=Bonvicini%2C+G">G. Bonvicini</a>, <a href="/search/hep-lat?searchtype=author&query=Browder%2C+T+E">T. E. Browder</a>, <a href="/search/hep-lat?searchtype=author&query=Bryman%2C+D+A">D. A. Bryman</a>, <a href="/search/hep-lat?searchtype=author&query=Campana%2C+P">P. Campana</a>, <a href="/search/hep-lat?searchtype=author&query=Cenci%2C+R">R. Cenci</a> , et al. (59 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="1311.1076v2-abstract-short" style="display: inline;"> This report represents the response of the Intensity Frontier Quark Flavor Physics Working Group to the Snowmass charge. We summarize the current status of quark flavor physics and identify many exciting future opportunities for studying the properties of strange, charm, and bottom quarks. The ability of these studies to reveal the effects of new physics at high mass scales make them an essential… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1311.1076v2-abstract-full').style.display = 'inline'; document.getElementById('1311.1076v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1311.1076v2-abstract-full" style="display: none;"> This report represents the response of the Intensity Frontier Quark Flavor Physics Working Group to the Snowmass charge. We summarize the current status of quark flavor physics and identify many exciting future opportunities for studying the properties of strange, charm, and bottom quarks. The ability of these studies to reveal the effects of new physics at high mass scales make them an essential ingredient in a well-balanced experimental particle physics program. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1311.1076v2-abstract-full').style.display = 'none'; document.getElementById('1311.1076v2-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, 2013; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 5 November, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2013. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1309.4092">arXiv:1309.4092</a> <span> [<a href="https://arxiv.org/pdf/1309.4092">pdf</a>, <a href="https://arxiv.org/format/1309.4092">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="Cosmology and Nongalactic Astrophysics">astro-ph.CO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.112.211602">10.1103/PhysRevLett.112.211602 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> WIMP-nucleon scattering with heavy WIMP effective theory </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+J">Richard J. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Solon%2C+M+P">Mikhail P. Solon</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="1309.4092v2-abstract-short" style="display: inline;"> The discovery of a Standard Model-like Higgs boson and the hitherto absence of evidence for other new states may indicate that if WIMPs comprise cosmological dark matter, they are heavy compared to electroweak scale particles, $M \gg m_{W^\pm}, m_{Z^0}$. In this limit, the absolute cross section for a WIMP of given electroweak quantum numbers to scatter from a nucleon becomes computable in terms o… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1309.4092v2-abstract-full').style.display = 'inline'; document.getElementById('1309.4092v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1309.4092v2-abstract-full" style="display: none;"> The discovery of a Standard Model-like Higgs boson and the hitherto absence of evidence for other new states may indicate that if WIMPs comprise cosmological dark matter, they are heavy compared to electroweak scale particles, $M \gg m_{W^\pm}, m_{Z^0}$. In this limit, the absolute cross section for a WIMP of given electroweak quantum numbers to scatter from a nucleon becomes computable in terms of Standard Model parameters. We develop effective field theory techniques to analyze the heavy WIMP limit of WIMP-nucleon scattering, and present the first complete calculation of the leading spin-independent cross section in Standard Model extensions consisting of one or two electroweak $SU(2)_W \times U(1)_Y$ multiplets. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1309.4092v2-abstract-full').style.display = 'none'; document.getElementById('1309.4092v2-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 June, 2014; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 16 September, 2013; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2013. </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">5 pages, 5 figures. v2: modified discussion, additional section with 1 figure, PRL version</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> EFI 13-23 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 112, 211602 (2014) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1212.4508">arXiv:1212.4508</a> <span> [<a href="https://arxiv.org/pdf/1212.4508">pdf</a>, <a href="https://arxiv.org/format/1212.4508">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> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Atomic Physics">physics.atom-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.87.053017">10.1103/PhysRevD.87.053017 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The NRQED lagrangian at order 1/M^4 </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+J">Richard J. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Lee%2C+G">Gabriel Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Paz%2C+G">Gil Paz</a>, <a href="/search/hep-lat?searchtype=author&query=Solon%2C+M+P">Mikhail P. Solon</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="1212.4508v2-abstract-short" style="display: inline;"> The parity and time-reversal invariant effective lagrangian for a heavy fermion interacting with an abelian gauge field, i.e., NRQED, is constructed through order $1/M^4$. The implementation of Lorentz invariance in the effective theory becomes nontrivial at this order, and a complete solution for Wilson coefficient constraints is obtained. Matching conditions in the one-fermion sector are present… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1212.4508v2-abstract-full').style.display = 'inline'; document.getElementById('1212.4508v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1212.4508v2-abstract-full" style="display: none;"> The parity and time-reversal invariant effective lagrangian for a heavy fermion interacting with an abelian gauge field, i.e., NRQED, is constructed through order $1/M^4$. The implementation of Lorentz invariance in the effective theory becomes nontrivial at this order, and a complete solution for Wilson coefficient constraints is obtained. Matching conditions in the one-fermion sector are presented in terms of form factors and two-photon matrix elements of the nucleon. The extension of NRQED to describe interactions of the heavy fermion with a light fermion is introduced. Sample applications are discussed; these include the computation of nuclear structure effects in atomic bound states, the model-independent analysis of radiative corrections to low-energy lepton-nucleon scattering, and the study of static electromagnetic properties of nucleons. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1212.4508v2-abstract-full').style.display = 'none'; document.getElementById('1212.4508v2-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> 21 March, 2013; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 18 December, 2012; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2012. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">21 pages, 3 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> EFI Preprint 12-8 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1111.0016">arXiv:1111.0016</a> <span> [<a href="https://arxiv.org/pdf/1111.0016">pdf</a>, <a href="https://arxiv.org/format/1111.0016">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="Cosmology and Nongalactic Astrophysics">astro-ph.CO</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.physletb.2012.01.013">10.1016/j.physletb.2012.01.013 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Universal behavior in the scattering of heavy, weakly interacting dark matter on nuclear targets </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hill%2C+R+J">Richard J. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Solon%2C+M+P">Mikhail P. Solon</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="1111.0016v2-abstract-short" style="display: inline;"> Particles that are heavy compared to the electroweak scale ($M \gg m_W$), and that are charged under electroweak SU(2) gauge interactions display universal properties such as a characteristic fine structure in the mass spectrum induced by electroweak symmetry breaking, and an approximately universal cross section for scattering on nuclear targets. The heavy particle effective theory framework is d… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1111.0016v2-abstract-full').style.display = 'inline'; document.getElementById('1111.0016v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1111.0016v2-abstract-full" style="display: none;"> Particles that are heavy compared to the electroweak scale ($M \gg m_W$), and that are charged under electroweak SU(2) gauge interactions display universal properties such as a characteristic fine structure in the mass spectrum induced by electroweak symmetry breaking, and an approximately universal cross section for scattering on nuclear targets. The heavy particle effective theory framework is developed to compute these properties. As illustration, the spin independent cross section for low-velocity scattering on a nucleon is evaluated in the limit $M \gg m_W$, including complete leading-order matching onto quark and gluon operators, renormalization analysis, and systematic treatment of perturbative and hadronic-input uncertainties. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1111.0016v2-abstract-full').style.display = 'none'; document.getElementById('1111.0016v2-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 January, 2012; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 31 October, 2011; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2011. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages, 2 figures. v2: minor changes, version to appear in Phys. Lett. B</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/9401035">arXiv:hep-lat/9401035</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/9401035">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/9401035">ps</a>, <a href="https://arxiv.org/format/hep-lat/9401035">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.50.495">10.1103/PhysRevD.50.495 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Tadpole-Improved Perturbation Theory for Heavy-Light Lattice Operators </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hernandez%2C+O+F">Oscar F. Hernandez</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+B+R">Brian R. Hill</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="hep-lat/9401035v2-abstract-short" style="display: inline;"> Lattice calculations of matrix elements involving heavy-light quark bilinears are of interest in calculating a variety of properties of B and D mesons, including decay constants and mixing parameters. A large source of uncertainty in the determination of these properties has been uncertainty in the normalization of the lattice-regularized operators that appear in the matrix elements. Tadpole-imp… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/9401035v2-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/9401035v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/9401035v2-abstract-full" style="display: none;"> Lattice calculations of matrix elements involving heavy-light quark bilinears are of interest in calculating a variety of properties of B and D mesons, including decay constants and mixing parameters. A large source of uncertainty in the determination of these properties has been uncertainty in the normalization of the lattice-regularized operators that appear in the matrix elements. Tadpole-improved perturbation theory, as formulated by Lepage and Mackenzie, promises to reduce these uncertainties below the ten per cent level at one-loop. In this paper we study this proposal as it applies to lattice-regularized heavy-light operators. We consider both the commonly used zero-distance bilinear and the distance-one point-split operator. A self-contained section on the application of these results is included. The calculation reduces the value of $f_B$ obtained from lattice calculations using the heavy quark effective theory. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/9401035v2-abstract-full').style.display = 'none'; document.getElementById('hep-lat/9401035v2-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 April, 1994; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 January, 1994; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 1994. </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, Physical Review D version after incorporating the referee's suggestions</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> UdeM-LPN-TH-93-183, UCLA/93/TEP/42 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 50, 495 (1994) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/9312046">arXiv:hep-lat/9312046</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/9312046">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/9312046">ps</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/10.1016/0920-5632(94)90413-8">10.1016/0920-5632(94)90413-8 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Masses and Decay Constants of Heavy-Light Mesons Using the Multistate Smearing Technique </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Duncan%2C+A">Anthony Duncan</a>, <a href="/search/hep-lat?searchtype=author&query=Eichten%2C+E">Estia Eichten</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=Hill%2C+B+R">Brian R. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Thacker%2C+H">Hank Thacker</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="hep-lat/9312046v1-abstract-short" style="display: inline;"> We present results for f_B and masses of low-lying heavy-light mesons. Calculations were performed in the quenched approximation using multistate smearing functions generated from a spinless relativistic quark model Hamiltonian. Beta values range from 5.7 to 6.3, and light quark masses corresponding to pion masses as low as 300 MeV are computed at each value. We use the 1P--1S charmonium splitti… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/9312046v1-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/9312046v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/9312046v1-abstract-full" style="display: none;"> We present results for f_B and masses of low-lying heavy-light mesons. Calculations were performed in the quenched approximation using multistate smearing functions generated from a spinless relativistic quark model Hamiltonian. Beta values range from 5.7 to 6.3, and light quark masses corresponding to pion masses as low as 300 MeV are computed at each value. We use the 1P--1S charmonium splitting to set the overall scale. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/9312046v1-abstract-full').style.display = 'none'; document.getElementById('hep-lat/9312046v1-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 December, 1993; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 1993. </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, 13 figures, and 5 tables as a single 193K compressed and uuencoded Postscript file, FERMILAB--CONF--93/376-T</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Nucl.Phys.Proc.Suppl. 34 (1994) 444-452 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-ph/9211263">arXiv:hep-ph/9211263</a> <span> [<a href="https://arxiv.org/pdf/hep-ph/9211263">pdf</a>, <a href="https://arxiv.org/ps/hep-ph/9211263">ps</a>, <a href="https://arxiv.org/format/hep-ph/9211263">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 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/10.1016/0920-5632(93)90244-Z">10.1016/0920-5632(93)90244-Z <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Properties of Low-Lying Heavy-Light Mesons </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Duncan%2C+A">Anthony Duncan</a>, <a href="/search/hep-lat?searchtype=author&query=Eichten%2C+E">Estia Eichten</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=Flynn%2C+J+M">Jonathan M. Flynn</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+B+R">Brian R. Hill</a>, <a href="/search/hep-lat?searchtype=author&query=Thacker%2C+H">Hank Thacker</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="hep-ph/9211263v1-abstract-short" style="display: inline;"> We present preliminary results for the B meson decay constant and masses of low-lying heavy-light mesons in the static limit. Calculations were performed on the lattice in the quenched approximation using multistate smearing functions generated from a Hamiltonian for a spinless relativistic quark. The 2S--1S and 1P--1S mass splittings are measured. Using the 1P--1S charmonium splitting to set th… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/9211263v1-abstract-full').style.display = 'inline'; document.getElementById('hep-ph/9211263v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-ph/9211263v1-abstract-full" style="display: none;"> We present preliminary results for the B meson decay constant and masses of low-lying heavy-light mesons in the static limit. Calculations were performed on the lattice in the quenched approximation using multistate smearing functions generated from a Hamiltonian for a spinless relativistic quark. The 2S--1S and 1P--1S mass splittings are measured. Using the 1P--1S charmonium splitting to set the overall scale, the ground state decay constant, f_B, is 319 +- 11 (stat) MeV. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/9211263v1-abstract-full').style.display = 'none'; document.getElementById('hep-ph/9211263v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 17 November, 1992; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 1992. </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, 9 figures, UCLA/92/TEP/40</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Nucl.Phys.Proc.Suppl.30:433-440,1993 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-lat/9204006">arXiv:hep-lat/9204006</a> <span> [<a href="https://arxiv.org/pdf/hep-lat/9204006">pdf</a>, <a href="https://arxiv.org/ps/hep-lat/9204006">ps</a>, <a href="https://arxiv.org/format/hep-lat/9204006">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/10.1016/0370-2693(92)90778-3">10.1016/0370-2693(92)90778-3 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Point-Split Lattice Operators for B Decays </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hernandez%2C+O+F">Oscar F. Hernandez</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+B+R">Brian R. Hill</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="hep-lat/9204006v1-abstract-short" style="display: inline;"> The matrix element which determines the B meson decay constant can be measured on the lattice using an effective field theory for heavy quarks. Various discretizations of the heavy-light bilinears which appear in this and other B decay matrix elements are possible. The heavy-light bilinear currently used for the determination of the B meson decay constant on the lattice suffers a substantial one… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/9204006v1-abstract-full').style.display = 'inline'; document.getElementById('hep-lat/9204006v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-lat/9204006v1-abstract-full" style="display: none;"> The matrix element which determines the B meson decay constant can be measured on the lattice using an effective field theory for heavy quarks. Various discretizations of the heavy-light bilinears which appear in this and other B decay matrix elements are possible. The heavy-light bilinear currently used for the determination of the B meson decay constant on the lattice suffers a substantial one-loop renormalization. In this paper, we compute the one-loop renormalizations of the discretizations in which the heavy and light fields in the bilinear are separated by one lattice spacing, and discuss their application. Readers of this paper may also be interested in our paper on the application of Symanzik's improvement program to heavy-light currents (paper number 9203221 on hep-ph). <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-lat/9204006v1-abstract-full').style.display = 'none'; document.getElementById('hep-lat/9204006v1-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 April, 1992; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 1992. </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, without figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Lett.B280:91-96,1992 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/hep-ph/9203221">arXiv:hep-ph/9203221</a> <span> [<a href="https://arxiv.org/pdf/hep-ph/9203221">pdf</a>, <a href="https://arxiv.org/ps/hep-ph/9203221">ps</a>, <a href="https://arxiv.org/format/hep-ph/9203221">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 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/10.1016/0370-2693(92)91242-2">10.1016/0370-2693(92)91242-2 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Improved Heavy Quark Effective Theory Currents </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Hernandez%2C+O+F">Oscar F. Hernandez</a>, <a href="/search/hep-lat?searchtype=author&query=Hill%2C+B+R">Brian R. Hill</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="hep-ph/9203221v1-abstract-short" style="display: inline;"> It is hoped that the accuracy of a variety of lattice calculations will be improved by perturbatively eliminating effects proportional to the lattice spacing. In this paper, we apply this improvement program to the heavy quark effective theory currents which cause a heavy quark to decay to a light quark, and renormalize the resulting operators to order $\alphaS$. We find a small decrease in the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/9203221v1-abstract-full').style.display = 'inline'; document.getElementById('hep-ph/9203221v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="hep-ph/9203221v1-abstract-full" style="display: none;"> It is hoped that the accuracy of a variety of lattice calculations will be improved by perturbatively eliminating effects proportional to the lattice spacing. In this paper, we apply this improvement program to the heavy quark effective theory currents which cause a heavy quark to decay to a light quark, and renormalize the resulting operators to order $\alphaS$. We find a small decrease in the amount that the operator needs to be renormalized, relative to the unimproved case. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('hep-ph/9203221v1-abstract-full').style.display = 'none'; document.getElementById('hep-ph/9203221v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 26 March, 1992; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 1992. </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</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Lett.B289:417-422,1992 </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" style="display: inline-block;"><a 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