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<button class="button is-small 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/2405.10304">arXiv:2405.10304</a> <span> [<a href="https://arxiv.org/pdf/2405.10304">pdf</a>, <a href="https://arxiv.org/format/2405.10304">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP08(2024)162">10.1007/JHEP08(2024)162 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Towards Unpolarized GPDs from Pseudo-Distributions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Dutrieux%2C+H">Herv茅 Dutrieux</a>, <a href="/search/hep-lat?searchtype=author&query=Edwards%2C+R+G">Robert G. Edwards</a>, <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">Joseph Karpie</a>, <a href="/search/hep-lat?searchtype=author&query=Monahan%2C+C">Christopher Monahan</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Radyushkin%2C+A">Anatoly Radyushkin</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D">David Richards</a>, <a href="/search/hep-lat?searchtype=author&query=Romero%2C+E">Eloy Romero</a>, <a href="/search/hep-lat?searchtype=author&query=Zafeiropoulos%2C+S">Savvas Zafeiropoulos</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="2405.10304v2-abstract-short" style="display: inline;"> We present an exploration of the unpolarized isovector proton generalized parton distributions (GPDs) $H^{u-d}(x, 尉, t)$ and $E^{u-d}(x, 尉, t)$ in the pseudo-distribution formalism using distillation. Taking advantage of the large kinematic coverage made possible by this approach, we present results on the moments of GPDs up to the order $x^3$ -- including their skewness dependence -- at a pion ma… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2405.10304v2-abstract-full').style.display = 'inline'; document.getElementById('2405.10304v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2405.10304v2-abstract-full" style="display: none;"> We present an exploration of the unpolarized isovector proton generalized parton distributions (GPDs) $H^{u-d}(x, 尉, t)$ and $E^{u-d}(x, 尉, t)$ in the pseudo-distribution formalism using distillation. Taking advantage of the large kinematic coverage made possible by this approach, we present results on the moments of GPDs up to the order $x^3$ -- including their skewness dependence -- at a pion mass $m_蟺= 358$ MeV and a lattice spacing $a = 0.094$ fm. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2405.10304v2-abstract-full').style.display = 'none'; document.getElementById('2405.10304v2-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 July, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 16 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">added discussion on isovector D-term and stability of fits with respect to the range in non-local separation of the operator</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-24-4059 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP 08 (2024) 162 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2211.04434">arXiv:2211.04434</a> <span> [<a href="https://arxiv.org/pdf/2211.04434">pdf</a>, <a href="https://arxiv.org/format/2211.04434">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP03(2023)086">10.1007/JHEP03(2023)086 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Edwards%2C+R+G">Robert G. Edwards</a>, <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">Joseph Karpie</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</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=Morris%2C+W">Wayne Morris</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Radyushkin%2C+A">Anatoly Radyushkin</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D">David Richards</a>, <a href="/search/hep-lat?searchtype=author&query=Romero%2C+E">Eloy Romero</a>, <a href="/search/hep-lat?searchtype=author&query=Sufian%2C+R+S">Raza Sabbir Sufian</a>, <a href="/search/hep-lat?searchtype=author&query=Zafeiropoulos%2C+S">Savvas Zafeiropoulos</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2211.04434v2-abstract-short" style="display: inline;"> The non-singlet helicity quark parton distribution functions (PDFs) of the nucleon are determined from lattice QCD, by jointly leveraging pseudo-distributions and the distillation spatial smearing paradigm. A Lorentz decomposition of appropriately isolated space-like matrix elements reveals pseudo-distributions that contain information on the leading-twist helicity PDFs, as well as an invariant am… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.04434v2-abstract-full').style.display = 'inline'; document.getElementById('2211.04434v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2211.04434v2-abstract-full" style="display: none;"> The non-singlet helicity quark parton distribution functions (PDFs) of the nucleon are determined from lattice QCD, by jointly leveraging pseudo-distributions and the distillation spatial smearing paradigm. A Lorentz decomposition of appropriately isolated space-like matrix elements reveals pseudo-distributions that contain information on the leading-twist helicity PDFs, as well as an invariant amplitude that induces an additional $z^2$ contamination of the leading-twist signal. An analysis of the short-distance behavior of the space-like matrix elements using matching coefficients computed to next-to-leading order (NLO) exposes the desired PDF up to this additional $z^2$ contamination. Due to the non-conservation of the axial current, we elect to isolate the helicity PDFs normalized by the nucleon axial charge at the same scale $渭^2$. The leading-twist helicity PDFs as well as several sources of systematic error, including higher-twist effects, discretization errors, and the aforementioned $z^2$ contaminating amplitude are jointly determined by characterizing the computed pseudo-distribution in a basis of Jacobi polynomials. The Akaike Information Criterion is exploited to effectively average over distinct model parameterizations and cuts on the pseudo-distribution. Encouraging agreement is observed with recent global analyses of each non-singlet quark helicity PDF, notably a rather small non-singlet anti-quark helicity PDF for all quark momentum fractions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.04434v2-abstract-full').style.display = 'none'; document.getElementById('2211.04434v2-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, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 8 November, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">32 pages, 38 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-22-3751 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2207.08733">arXiv:2207.08733</a> <span> [<a href="https://arxiv.org/pdf/2207.08733">pdf</a>, <a href="https://arxiv.org/format/2207.08733">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.106.094511">10.1103/PhysRevD.106.094511 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Towards the determination of the gluon helicity distribution in the nucleon from lattice quantum chromodynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Jo%C3%B3%2C+B">B谩lint Jo贸</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">Joseph Karpie</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</a>, <a href="/search/hep-lat?searchtype=author&query=Khan%2C+T">Tanjib Khan</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=Morris%2C+W">Wayne Morris</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Radyushkin%2C+A">Anatoly Radyushkin</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D+G">David G. Richards</a>, <a href="/search/hep-lat?searchtype=author&query=Romero%2C+E">Eloy Romero</a>, <a href="/search/hep-lat?searchtype=author&query=Sufian%2C+R+S">Raza Sabbir Sufian</a>, <a href="/search/hep-lat?searchtype=author&query=Zafeiropoulos%2C+S">Savvas Zafeiropoulos</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="2207.08733v2-abstract-short" style="display: inline;"> We present the first exploratory lattice quantum chromodynamics (QCD) calculation of the polarized gluon Ioffe-time pseudo-distribution in the nucleon. The Ioffe-time pseudo-distribution provides a frame-independent and gauge-invariant framework to determine the gluon helicity in the nucleon from first principles. We employ a high-statistics computation using a $32^3\times 64$ lattice ensemble cha… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2207.08733v2-abstract-full').style.display = 'inline'; document.getElementById('2207.08733v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2207.08733v2-abstract-full" style="display: none;"> We present the first exploratory lattice quantum chromodynamics (QCD) calculation of the polarized gluon Ioffe-time pseudo-distribution in the nucleon. The Ioffe-time pseudo-distribution provides a frame-independent and gauge-invariant framework to determine the gluon helicity in the nucleon from first principles. We employ a high-statistics computation using a $32^3\times 64$ lattice ensemble characterized by a $358$ MeV pion mass and a $0.094$ fm lattice spacing. We establish the pseudo-distribution approach as a feasible method to address the proton spin puzzle with successive improvements in statistical and systematic uncertainties anticipated in the future. Within the statistical precision of our data, we find a good comparison between the lattice determined polarized gluon Ioffe-time distribution and the corresponding expectations from the state-of-the-art global analyses. We find a hint for a nonzero gluon spin contribution to the proton spin from the model-independent extraction of the gluon helicity pseudo-distribution over a range of Ioffe-time, $谓\lesssim 9$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2207.08733v2-abstract-full').style.display = 'none'; document.getElementById('2207.08733v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 28 November, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 18 July, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Version to be published in Phys. Rev. D, 24 pages, 13 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-22-3663 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2204.00543">arXiv:2204.00543</a> <span> [<a href="https://arxiv.org/pdf/2204.00543">pdf</a>, <a href="https://arxiv.org/format/2204.00543">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.105.114051">10.1103/PhysRevD.105.114051 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Complementarity of experimental and lattice QCD data on pion parton distributions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Barry%2C+P+C">P. C. Barry</a>, <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">C. Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">J. Karpie</a>, <a href="/search/hep-lat?searchtype=author&query=Melnitchouk%2C+W">W. Melnitchouk</a>, <a href="/search/hep-lat?searchtype=author&query=Monahan%2C+C">C. Monahan</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">K. Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Qiu%2C+J">Jian-Wei Qiu</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D">D. Richards</a>, <a href="/search/hep-lat?searchtype=author&query=Sato%2C+N">N. Sato</a>, <a href="/search/hep-lat?searchtype=author&query=Sufian%2C+R+S">R. S. Sufian</a>, <a href="/search/hep-lat?searchtype=author&query=Zafeiropoulos%2C+S">S. Zafeiropoulos</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="2204.00543v2-abstract-short" style="display: inline;"> We extract pion parton distribution functions (PDFs) in a Monte Carlo global QCD analysis of experimental data together with reduced Ioffe time pseudo-distributions and matrix elements of current-current correlators generated from lattice QCD. By including both experimental and lattice QCD data, our analysis rigorously quantifies both the uncertainties of the pion PDFs and systematic effects intri… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2204.00543v2-abstract-full').style.display = 'inline'; document.getElementById('2204.00543v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2204.00543v2-abstract-full" style="display: none;"> We extract pion parton distribution functions (PDFs) in a Monte Carlo global QCD analysis of experimental data together with reduced Ioffe time pseudo-distributions and matrix elements of current-current correlators generated from lattice QCD. By including both experimental and lattice QCD data, our analysis rigorously quantifies both the uncertainties of the pion PDFs and systematic effects intrinsic to the lattice QCD observables. The reduced Ioffe time pseudo-distributions significantly decrease the uncertainties on the PDFs, while the current-current correlators are limited by the systematic effects associated with the lattice. Consistent with recent phenomenological determinations, the behavior of the valence quark distribution of the pion at large momentum fraction is found to be $\sim (1-x)^{ 尾_{\rm eff}}$ with $尾_{\rm eff} \approx 1.0-1.2$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2204.00543v2-abstract-full').style.display = 'none'; document.getElementById('2204.00543v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 10 June, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 1 April, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 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">47 pages, 15 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-22-3592 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.01808">arXiv:2111.01808</a> <span> [<a href="https://arxiv.org/pdf/2111.01808">pdf</a>, <a href="https://arxiv.org/format/2111.01808">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.105.034507">10.1103/PhysRevD.105.034507 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> The transversity parton distribution function of the nucleon using the pseudo-distribution approach </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Kallidonis%2C+C">Christos Kallidonis</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">Joseph Karpie</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</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=Morris%2C+W">Wayne Morris</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Radyushkin%2C+A">Anatoly Radyushkin</a>, <a href="/search/hep-lat?searchtype=author&query=Romero%2C+E">Eloy Romero</a>, <a href="/search/hep-lat?searchtype=author&query=Sufian%2C+R+S">Raza Sabbir Sufian</a>, <a href="/search/hep-lat?searchtype=author&query=Zafeiropoulos%2C+S">Savvas Zafeiropoulos</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2111.01808v1-abstract-short" style="display: inline;"> We present a determination of the non-singlet transversity parton distribution function (PDF) of the nucleon, normalized with respect to the tensor charge at $渭^2=2$ GeV$^2$ from lattice quantum chromodynamics. We apply the pseudo-distribution approach, using a gauge ensemble with a lattice spacing of 0.094 fm and the light quark mass tuned to a pion mass of 358 MeV. We extract the transversity PD… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.01808v1-abstract-full').style.display = 'inline'; document.getElementById('2111.01808v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.01808v1-abstract-full" style="display: none;"> We present a determination of the non-singlet transversity parton distribution function (PDF) of the nucleon, normalized with respect to the tensor charge at $渭^2=2$ GeV$^2$ from lattice quantum chromodynamics. We apply the pseudo-distribution approach, using a gauge ensemble with a lattice spacing of 0.094 fm and the light quark mass tuned to a pion mass of 358 MeV. We extract the transversity PDF from the analysis of the short-distance behavior of the Ioffe-time pseudo-distribution using the leading-twist next-to-leading order (NLO) matching coefficients calculated for transversity. We reconstruct the $x$-dependence of the transversity PDF through an expansion in a basis of Jacobi polynomials in order to reduce the PDF ansatz dependence. Within the limitations imposed by a heavier-than-physical pion mass and a fixed lattice spacing, we present a comparison of our estimate for the valence transversity PDF with the recent global fit results based on single transverse spin asymmetry. We find the intrinsic nucleon sea to be isospin symmetric with respect to transversity. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.01808v1-abstract-full').style.display = 'none'; document.getElementById('2111.01808v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 2 November, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">25 pages, 13 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-21-3521 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2107.08960">arXiv:2107.08960</a> <span> [<a href="https://arxiv.org/pdf/2107.08960">pdf</a>, <a href="https://arxiv.org/format/2107.08960">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.104.094516">10.1103/PhysRevD.104.094516 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Khan%2C+T">Tanjib Khan</a>, <a href="/search/hep-lat?searchtype=author&query=Sufian%2C+R+S">Raza Sabbir Sufian</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">Joseph Karpie</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=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Jo%C3%B3%2C+B">B谩lint Jo贸</a>, <a href="/search/hep-lat?searchtype=author&query=Morris%2C+W">Wayne Morris</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Radyushkin%2C+A">Anatoly Radyushkin</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D+G">David G. Richards</a>, <a href="/search/hep-lat?searchtype=author&query=Romero%2C+E">Eloy Romero</a>, <a href="/search/hep-lat?searchtype=author&query=Zafeiropoulos%2C+S">Savvas Zafeiropoulos</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2107.08960v2-abstract-short" style="display: inline;"> In this study, we present a determination of the unpolarized gluon Ioffe-time distribution in the nucleon from a first principles lattice quantum chromodynamics calculation. We carry out the lattice calculation on a $32^3\times 64$ ensemble with a pion mass of $358$ MeV and lattice spacing of $0.094$ fm. We construct the nucleon interpolating fields using the distillation technique, flow the gauge… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.08960v2-abstract-full').style.display = 'inline'; document.getElementById('2107.08960v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2107.08960v2-abstract-full" style="display: none;"> In this study, we present a determination of the unpolarized gluon Ioffe-time distribution in the nucleon from a first principles lattice quantum chromodynamics calculation. We carry out the lattice calculation on a $32^3\times 64$ ensemble with a pion mass of $358$ MeV and lattice spacing of $0.094$ fm. We construct the nucleon interpolating fields using the distillation technique, flow the gauge fields using the gradient flow, and solve the summed generalized eigenvalue problem to determine the glounic matrix elements. Combining these techniques allows us to provide a statistically well-controlled Ioffe-time distribution and unpolarized gluon PDF. We obtain the flow time independent reduced Ioffe-time pseudo-distribution, and calculate the light-cone Ioffe-time distribution and unpolarized gluon distribution function in the $\overline{\rm MS}$ scheme at $渭= 2$ GeV, neglecting the mixing of the gluon operator with the quark singlet sector. Finally, we compare our results to phenomenological determinations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.08960v2-abstract-full').style.display = 'none'; document.getElementById('2107.08960v2-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 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 19 July, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">23 pages, 12 figures, Phys Rev D accepted version</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-21-3469 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2107.05199">arXiv:2107.05199</a> <span> [<a href="https://arxiv.org/pdf/2107.05199">pdf</a>, <a href="https://arxiv.org/format/2107.05199">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP11(2021)148">10.1007/JHEP11(2021)148 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Towards High-Precision Parton Distributions From Lattice QCD via Distillation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Edwards%2C+R+G">Robert G. Edwards</a>, <a href="/search/hep-lat?searchtype=author&query=Kallidonis%2C+C">Christos Kallidonis</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Radyushkin%2C+A+V">Anatoly V. Radyushkin</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D+G">David G. Richards</a>, <a href="/search/hep-lat?searchtype=author&query=Romero%2C+E">Eloy Romero</a>, <a href="/search/hep-lat?searchtype=author&query=Zafeiropoulos%2C+S">Savvas Zafeiropoulos</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2107.05199v1-abstract-short" style="display: inline;"> We apply the Distillation spatial smearing program to the extraction of the unpolarized isovector valence PDF of the nucleon. The improved volume sampling and control of excited-states afforded by distillation leads to a dramatically improved determination of the requisite Ioffe-time Pseudo-distribution (pITD). The impact of higher-twist effects is subsequently explored by extending the Wilson lin… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.05199v1-abstract-full').style.display = 'inline'; document.getElementById('2107.05199v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2107.05199v1-abstract-full" style="display: none;"> We apply the Distillation spatial smearing program to the extraction of the unpolarized isovector valence PDF of the nucleon. The improved volume sampling and control of excited-states afforded by distillation leads to a dramatically improved determination of the requisite Ioffe-time Pseudo-distribution (pITD). The impact of higher-twist effects is subsequently explored by extending the Wilson line length present in our non-local operators to one half the spatial extent of the lattice ensemble considered. The valence PDF is extracted by analyzing both the matched Ioffe-time Distribution (ITD), as well as a direct matching of the pITD to the PDF. Through development of a novel prescription to obtain the PDF from the pITD, we establish a concerning deviation of the pITD from the expected DGLAP evolution of the pseudo-PDF. The presence of DGLAP evolution is observed once more following introduction of a discretization term into the PDF extractions. Observance and correction of this discrepancy further highlights the utility of distillation in such structure studies. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.05199v1-abstract-full').style.display = 'none'; document.getElementById('2107.05199v1-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 July, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">34 pages, 26 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-21-3457 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2009.10691">arXiv:2009.10691</a> <span> [<a href="https://arxiv.org/pdf/2009.10691">pdf</a>, <a href="https://arxiv.org/format/2009.10691">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.103.034502">10.1103/PhysRevD.103.034502 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Distillation at High-Momentum </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Edwards%2C+R+G">Robert G. Edwards</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D+G">David G. Richards</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2009.10691v1-abstract-short" style="display: inline;"> Extraction of hadronic observables at finite-momenta from Lattice QCD (LQCD) is constrained by the well-known signal-to-noise problems afflicting all such LQCD calculations. Traditional quark smearing algorithms are commonly used tools to improve the statistical quality of hadronic $n$-point functions, provided operator momenta are small. The momentum smearing algorithm of Bali et al. extends the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.10691v1-abstract-full').style.display = 'inline'; document.getElementById('2009.10691v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2009.10691v1-abstract-full" style="display: none;"> Extraction of hadronic observables at finite-momenta from Lattice QCD (LQCD) is constrained by the well-known signal-to-noise problems afflicting all such LQCD calculations. Traditional quark smearing algorithms are commonly used tools to improve the statistical quality of hadronic $n$-point functions, provided operator momenta are small. The momentum smearing algorithm of Bali et al. extends the range of momenta that are cleanly accessible, and has facilitated countless novel lattice calculations. Momentum smearing has, however, not been explicitly demonstrated within the framework of distillation. In this work we extend the momentum-smearing idea, by exploring a few modifications to the distillation framework. Together with enhanced time slice sampling and expanded operator bases engendered by distillation, we find ground-state nucleon energies can be extracted reliably for $\left|\vec{p}\right|\lesssim3\text{ GeV}$ and matrix elements featuring a large momentum dependence can be resolved. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.10691v1-abstract-full').style.display = 'none'; document.getElementById('2009.10691v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 22 September, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2020. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">19 pages, 30 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-20-3250 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 103, 034502 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2001.04960">arXiv:2001.04960</a> <span> [<a href="https://arxiv.org/pdf/2001.04960">pdf</a>, <a href="https://arxiv.org/format/2001.04960">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.102.054508">10.1103/PhysRevD.102.054508 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Pion valence quark distribution from current-current correlation in lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Sufian%2C+R+S">Raza Sabbir Sufian</a>, <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">Joseph Karpie</a>, <a href="/search/hep-lat?searchtype=author&query=Edwards%2C+R+G">Robert G. Edwards</a>, <a href="/search/hep-lat?searchtype=author&query=Jo%C3%B3%2C+B">B谩lint Jo贸</a>, <a href="/search/hep-lat?searchtype=author&query=Ma%2C+Y">Yan-Qing Ma</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Qiu%2C+J">Jian-Wei Qiu</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D+G">David G. Richards</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2001.04960v3-abstract-short" style="display: inline;"> We extract the pion valence quark distribution $q^蟺_{\rm v}(x)$ from lattice QCD (LQCD) calculated matrix elements of spacelike correlations of one vector and one axial vector current analyzed in terms of QCD collinear factorization, using a new short-distance matching coefficient calculated to one-loop accuracy. We derive the Ioffe time distribution of the two-current correlations in the physical… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2001.04960v3-abstract-full').style.display = 'inline'; document.getElementById('2001.04960v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2001.04960v3-abstract-full" style="display: none;"> We extract the pion valence quark distribution $q^蟺_{\rm v}(x)$ from lattice QCD (LQCD) calculated matrix elements of spacelike correlations of one vector and one axial vector current analyzed in terms of QCD collinear factorization, using a new short-distance matching coefficient calculated to one-loop accuracy. We derive the Ioffe time distribution of the two-current correlations in the physical limit by investigating the finite lattice spacing, volume, quark mass, and higher-twist dependencies in a simultaneous fit of matrix elements computed on four gauge ensembles. We find remarkable consistency between our extracted $q^蟺_{\rm v}(x)$ and that obtained from experimental data across the entire $x$-range. Further, we demonstrate that the one-loop matching coefficient relating the LQCD matrix computed in position space to the $q_{\rm v}^蟺(x)$ in momentum space has well-controlled behavior with Ioffe time. This justifies that LQCD calculated current-current correlations are good observables for extracting partonic structures by using QCD factorization, which complements to the global effort to extract partonic structure from experimental data. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2001.04960v3-abstract-full').style.display = 'none'; document.getElementById('2001.04960v3-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 September, 2020; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 14 January, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2020. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Published version, Physical Review D</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-20-3131 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 102, 054508 (2020) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1901.03921">arXiv:1901.03921</a> <span> [<a href="https://arxiv.org/pdf/1901.03921">pdf</a>, <a href="https://arxiv.org/format/1901.03921">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.99.074507">10.1103/PhysRevD.99.074507 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Sufian%2C+R+S">Raza Sabbir Sufian</a>, <a href="/search/hep-lat?searchtype=author&query=Karpie%2C+J">Joseph Karpie</a>, <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Kostas Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Qiu%2C+J">Jian-Wei Qiu</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D+G">David G. Richards</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1901.03921v2-abstract-short" style="display: inline;"> We present the first exploratory lattice QCD calculation of the pion valence quark distribution extracted from spatially separated current-current correlations in coordinate space. We show that an antisymmetric combination of vector and axial-vector currents provides direct information on the pion valence quark distribution. Using the collinear factorization approach, we calculate the perturbative… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1901.03921v2-abstract-full').style.display = 'inline'; document.getElementById('1901.03921v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1901.03921v2-abstract-full" style="display: none;"> We present the first exploratory lattice QCD calculation of the pion valence quark distribution extracted from spatially separated current-current correlations in coordinate space. We show that an antisymmetric combination of vector and axial-vector currents provides direct information on the pion valence quark distribution. Using the collinear factorization approach, we calculate the perturbative tree-level kernel for this current combination and extract the pion valence distribution. The main goal of this article is to demonstrate the efficacy of this general lattice QCD approach in the reliable extraction of parton distributions. With controllable power corrections and a good understanding of the lattice systematics, this method has the potential to serve as a complementary to the many efforts to extract parton distributions in global analyses from experimentally measured cross sections. We perform our calculation on an ensemble of 2+1 flavor QCD using the isotropic-clover fermion action, with lattice dimensions $32^3\times 96$ at a lattice spacing \mbox{$a=0.127$ fm} and the quark mass equivalent to a pion mass $m_蟺\simeq 416$ MeV. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1901.03921v2-abstract-full').style.display = 'none'; document.getElementById('1901.03921v2-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 April, 2019; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 12 January, 2019; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2019. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Version to appear in Physical Review D, 13 pages, 7 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-19-2847 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 99, 074507 (2019) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1810.09991">arXiv:1810.09991</a> <span> [<a href="https://arxiv.org/pdf/1810.09991">pdf</a>, <a href="https://arxiv.org/format/1810.09991">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.99.034506">10.1103/PhysRevD.99.034506 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Controlling Excited-State Contributions with Distillation in Lattice QCD Calculations of Nucleon Isovector Charges $g_S^{u-d}$, $g_A^{u-d}$, $g_T^{u-d}$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Egerer%2C+C">Colin Egerer</a>, <a href="/search/hep-lat?searchtype=author&query=Richards%2C+D">David Richards</a>, <a href="/search/hep-lat?searchtype=author&query=Winter%2C+F">Frank Winter</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="1810.09991v1-abstract-short" style="display: inline;"> We investigate the application of the distillation smearing approach, and the use of the variational method with an extended basis of operators facilitated by this approach, on the calculation of the nucleon isovector charges $g_S^{u-d}$, $g_A^{u-d}$, and $g_T^{u-d}$. We find that the better sampling of the lattice enabled through the use of distillation yields a substantial reduction in the stati… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1810.09991v1-abstract-full').style.display = 'inline'; document.getElementById('1810.09991v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1810.09991v1-abstract-full" style="display: none;"> We investigate the application of the distillation smearing approach, and the use of the variational method with an extended basis of operators facilitated by this approach, on the calculation of the nucleon isovector charges $g_S^{u-d}$, $g_A^{u-d}$, and $g_T^{u-d}$. We find that the better sampling of the lattice enabled through the use of distillation yields a substantial reduction in the statistical uncertainty in comparison with the use of alternative smearing methods, and furthermore, appears to offer better control over the contribution of excited-states compared to use of a single, local interpolating operator. The additional benefit arising through the use of the variational method in the distillation approach is less dramatic, but nevertheless significant given that it requires no additional Dirac inversions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1810.09991v1-abstract-full').style.display = 'none'; document.getElementById('1810.09991v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 23 October, 2018; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2018. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages, 17 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-18-2857 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 99, 034506 (2019) </p> </li> </ol> <div class="is-hidden-tablet">  <span class="help" style="display: inline-block;"><a href="https://github.com/arXiv/arxiv-search/releases">Search v0.5.6 released 2020-02-24</a>  </span> </div> </div> </main> <footer> <div class="columns is-desktop" role="navigation" aria-label="Secondary">  <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul class="nav-spaced"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div>   <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/license/index.html">Copyright</a></li> <li><a href="https://info.arxiv.org/help/policies/privacy_policy.html">Privacy Policy</a></li> </ul> </div> <div class="column sorry-app-links"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/web_accessibility.html">Web Accessibility Assistance</a></li> <li> <p class="help"> <a class="a11y-main-link" href="https://status.arxiv.org" target="_blank">arXiv Operational Status <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 256 512" class="icon filter-dark_grey" role="presentation"><path d="M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z"/></svg></a><br> Get status notifications via <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/email/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg>email</a> or <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/slack/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512" class="icon filter-black" role="presentation"><path d="M94.12 315.1c0 25.9-21.16 47.06-47.06 47.06S0 341 0 315.1c0-25.9 21.16-47.06 47.06-47.06h47.06v47.06zm23.72 0c0-25.9 21.16-47.06 47.06-47.06s47.06 21.16 47.06 47.06v117.84c0 25.9-21.16 47.06-47.06 47.06s-47.06-21.16-47.06-47.06V315.1zm47.06-188.98c-25.9 0-47.06-21.16-47.06-47.06S139 32 164.9 32s47.06 21.16 47.06 47.06v47.06H164.9zm0 23.72c25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06H47.06C21.16 243.96 0 222.8 0 196.9s21.16-47.06 47.06-47.06H164.9zm188.98 47.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06h-47.06V196.9zm-23.72 0c0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06V79.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06V196.9zM283.1 385.88c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06v-47.06h47.06zm0-23.72c-25.9 0-47.06-21.16-47.06-47.06 0-25.9 21.16-47.06 47.06-47.06h117.84c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06H283.1z"/></svg>slack</a> </p> </li> </ul> </div> </div> </div>  </div> </footer> <script src="https://static.arxiv.org/static/base/1.0.0a5/js/member_acknowledgement.js"></script> </body> </html>

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