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is-link">Go</button> </div> </div> </form> </div> </div> <nav class="pagination is-small is-centered breathe-horizontal" role="navigation" aria-label="pagination"> <a href="" class="pagination-previous is-invisible">Previous </a> <a href="/search/?searchtype=author&query=Zhao%2C+Y&start=50" class="pagination-next" >Next </a> <ul class="pagination-list"> <li> <a href="/search/?searchtype=author&query=Zhao%2C+Y&start=0" class="pagination-link is-current" aria-label="Goto page 1">1 </a> </li> <li> <a href="/search/?searchtype=author&query=Zhao%2C+Y&start=50" class="pagination-link " aria-label="Page 2" aria-current="page">2 </a> </li> </ul> </nav> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2410.13515">arXiv:2410.13515</a> <span> [<a href="https://arxiv.org/pdf/2410.13515">pdf</a>, <a href="https://arxiv.org/format/2410.13515">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> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> </div> </div> <p class="title is-5 mathjax"> Observation of a rare beta decay of the charmed baryon with a Graph Neural Network </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=BESIII+Collaboration"> BESIII Collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Ablikim%2C+M">M. Ablikim</a>, <a href="/search/hep-lat?searchtype=author&query=Achasov%2C+M+N">M. N. Achasov</a>, <a href="/search/hep-lat?searchtype=author&query=Adlarson%2C+P">P. Adlarson</a>, <a href="/search/hep-lat?searchtype=author&query=Afedulidis%2C+O">O. Afedulidis</a>, <a href="/search/hep-lat?searchtype=author&query=Ai%2C+X+C">X. C. Ai</a>, <a href="/search/hep-lat?searchtype=author&query=Aliberti%2C+R">R. Aliberti</a>, <a href="/search/hep-lat?searchtype=author&query=Amoroso%2C+A">A. Amoroso</a>, <a href="/search/hep-lat?searchtype=author&query=An%2C+Q">Q. An</a>, <a href="/search/hep-lat?searchtype=author&query=Bai%2C+Y">Y. Bai</a>, <a href="/search/hep-lat?searchtype=author&query=Bakina%2C+O">O. Bakina</a>, <a href="/search/hep-lat?searchtype=author&query=Balossino%2C+I">I. Balossino</a>, <a href="/search/hep-lat?searchtype=author&query=Ban%2C+Y">Y. Ban</a>, <a href="/search/hep-lat?searchtype=author&query=Bao%2C+H+-">H. -R. Bao</a>, <a href="/search/hep-lat?searchtype=author&query=Batozskaya%2C+V">V. Batozskaya</a>, <a href="/search/hep-lat?searchtype=author&query=Begzsuren%2C+K">K. Begzsuren</a>, <a href="/search/hep-lat?searchtype=author&query=Berger%2C+N">N. Berger</a>, <a href="/search/hep-lat?searchtype=author&query=Berlowski%2C+M">M. Berlowski</a>, <a href="/search/hep-lat?searchtype=author&query=Bertani%2C+M">M. Bertani</a>, <a href="/search/hep-lat?searchtype=author&query=Bettoni%2C+D">D. Bettoni</a>, <a href="/search/hep-lat?searchtype=author&query=Bianchi%2C+F">F. Bianchi</a>, <a href="/search/hep-lat?searchtype=author&query=Bianco%2C+E">E. Bianco</a>, <a href="/search/hep-lat?searchtype=author&query=Bortone%2C+A">A. Bortone</a>, <a href="/search/hep-lat?searchtype=author&query=Boyko%2C+I">I. Boyko</a>, <a href="/search/hep-lat?searchtype=author&query=Briere%2C+R+A">R. A. Briere</a> , et al. (637 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="2410.13515v1-abstract-short" style="display: inline;"> The study of beta decay of the charmed baryon provides unique insights into the fundamental mechanism of the strong and electro-weak interactions. The $螞_c^+$, being the lightest charmed baryon, undergoes disintegration solely through the charm quark weak decay. Its beta decay provides an ideal laboratory for investigating non-perturbative effects in quantum chromodynamics and for constraining the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.13515v1-abstract-full').style.display = 'inline'; document.getElementById('2410.13515v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2410.13515v1-abstract-full" style="display: none;"> The study of beta decay of the charmed baryon provides unique insights into the fundamental mechanism of the strong and electro-weak interactions. The $螞_c^+$, being the lightest charmed baryon, undergoes disintegration solely through the charm quark weak decay. Its beta decay provides an ideal laboratory for investigating non-perturbative effects in quantum chromodynamics and for constraining the fundamental parameters of the Cabibbo-Kobayashi-Maskawa matrix in weak interaction theory. This article presents the first observation of the Cabibbo-suppressed $螞_c^+$ beta decay into a neutron $螞_c^+ \rightarrow n e^+ 谓_{e}$, based on $4.5~\mathrm{fb}^{-1}$ of electron-positron annihilation data collected with the BESIII detector in the energy region above the $螞^+_c\bar螞^-_c$ threshold. A novel machine learning technique, leveraging Graph Neural Networks, has been utilized to effectively separate signals from dominant backgrounds, particularly $螞_c^+ \rightarrow 螞e^+ 谓_{e}$. This approach has yielded a statistical significance of more than $10蟽$. The absolute branching fraction of $螞_c^+ \rightarrow n e^+ 谓_{e}$ is measured to be $(3.57\pm0.34_{\mathrm{stat}}\pm0.14_{\mathrm{syst}})\times 10^{-3}$. For the first time, the CKM matrix element $\left|V_{cd}\right|$ is extracted via a charmed baryon decay to be $0.208\pm0.011_{\rm exp.}\pm0.007_{\rm LQCD}\pm0.001_{蟿_{螞_c^+}}$. This study provides a new probe to further understand fundamental interactions in the charmed baryon sector, and demonstrates the power of modern machine learning techniques in enhancing experimental capability in high energy physics research. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.13515v1-abstract-full').style.display = 'none'; document.getElementById('2410.13515v1-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 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">28 pages, 6 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/2410.03539">arXiv:2410.03539</a> <span> [<a href="https://arxiv.org/pdf/2410.03539">pdf</a>, <a href="https://arxiv.org/format/2410.03539">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> <p class="title is-5 mathjax"> Moments of Axial-Vector GPD from Lattice QCD: Quark Helicity, Orbital Angular Momentum, and Spin-Orbit Correlation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+S">Shohini Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Cichy%2C+K">Krzysztof Cichy</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Miller%2C+J">Joshua Miller</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Steffens%2C+F">Fernanda Steffens</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2410.03539v1-abstract-short" style="display: inline;"> In this work, we present a lattice QCD calculation of the Mellin moments of the twist-2 axial-vector generalized parton distribution (GPD), $\widetilde{H}(x,尉,t)$, at zero skewness, $尉$, with multiple values of the momentum transfer, $t$. Our analysis employs the short-distance factorization framework on ratio-scheme renormalized quasi-GPD matrix elements. The calculations are based on an… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.03539v1-abstract-full').style.display = 'inline'; document.getElementById('2410.03539v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2410.03539v1-abstract-full" style="display: none;"> In this work, we present a lattice QCD calculation of the Mellin moments of the twist-2 axial-vector generalized parton distribution (GPD), $\widetilde{H}(x,尉,t)$, at zero skewness, $尉$, with multiple values of the momentum transfer, $t$. Our analysis employs the short-distance factorization framework on ratio-scheme renormalized quasi-GPD matrix elements. The calculations are based on an $N_f=2+1+1$ twisted mass fermions ensemble with clover improvement, a lattice spacing of $a = 0.093$ fm, and a pion mass of $m_蟺= 260$ MeV. We consider both the iso-vector and iso-scalar cases, utilizing next-to-leading-order perturbative matching while ignoring the disconnected contributions and gluon mixing in the iso-scalar case. For the first time, we determine the Mellin moments of $\widetilde{H}$ up to the fifth order. From these moments, we discuss the quark helicity and orbital angular momentum contributions to the nucleon spin, as well as the spin-orbit correlations of the quarks. Additionally, we perform a Fourier transform over the momentum transfer, which allows us to explore the spin structure in the impact-parameter space. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2410.03539v1-abstract-full').style.display = 'none'; document.getElementById('2410.03539v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 4 October, 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">17 pages, 13 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> LA-UR-24-29020 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2408.05910">arXiv:2408.05910</a> <span> [<a href="https://arxiv.org/pdf/2408.05910">pdf</a>, <a href="https://arxiv.org/format/2408.05910">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Systematic Uncertainties from Gribov Copies in Lattice Calculation of Parton Distributions in the Coulomb gauge </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jinchen He</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+R">Rui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2408.05910v1-abstract-short" style="display: inline;"> Recently, it has been proposed to compute parton distributions from boosted correlators fixed in the Coulomb gauge within the framework of Large-Momentum Effective Theory. This method does not involve Wilson lines and could greatly improve the efficiency and precision of lattice QCD calculations. However, there are concerns about whether the systematic uncertainties from Gribov copies, which corre… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.05910v1-abstract-full').style.display = 'inline'; document.getElementById('2408.05910v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2408.05910v1-abstract-full" style="display: none;"> Recently, it has been proposed to compute parton distributions from boosted correlators fixed in the Coulomb gauge within the framework of Large-Momentum Effective Theory. This method does not involve Wilson lines and could greatly improve the efficiency and precision of lattice QCD calculations. However, there are concerns about whether the systematic uncertainties from Gribov copies, which correspond to the ambiguity in lattice gauge-fixing, are under control. This work gives an assessment of the Gribov copies' effect in the Coulomb-gauge-fixed quark correlators. We utilize different strategies for the Coulomb-gauge fixing, selecting two different groups of Gribov copies based on the lattice gauge configurations. We test the difference in the resulted spatial quark correlators in the vacuum and a pion state. Our findings indicate that the statistical errors of the matrix elements from both Gribov copies, regardless of the correlation range, decrease proportionally to the square root of the number of gauge configurations. The difference between the strategies does not show statistical significance compared to the gauge noise. This demonstrates that the effect of the Gribov copies can be neglected in the practical lattice calculation of the quark parton distributions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.05910v1-abstract-full').style.display = 'none'; document.getElementById('2408.05910v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 August, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2408.04674">arXiv:2408.04674</a> <span> [<a href="https://arxiv.org/pdf/2408.04674">pdf</a>, <a href="https://arxiv.org/format/2408.04674">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"> Comments on "Non-local Nucleon Matrix Elements in the Rest Frame" </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=He%2C+J">Jinchen He</a>, <a href="/search/hep-lat?searchtype=author&query=Su%2C+Y">Yushan Su</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+R">Rui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2408.04674v1-abstract-short" style="display: inline;"> In a recent paper, "Non-local Nucleon Matrix Elements in the Rest Frame" (arXiv: 2407.16577), it was demonstrated that the next-to-leading order perturbative theory can describe, to a few percent accuracy, the lattice QCD static nucleon matrix elements of spatial correlators with separations up to 0.6~fm. We argue that perturbative QCD breaks down at such a distance scale after resumming the assoc… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.04674v1-abstract-full').style.display = 'inline'; document.getElementById('2408.04674v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2408.04674v1-abstract-full" style="display: none;"> In a recent paper, "Non-local Nucleon Matrix Elements in the Rest Frame" (arXiv: 2407.16577), it was demonstrated that the next-to-leading order perturbative theory can describe, to a few percent accuracy, the lattice QCD static nucleon matrix elements of spatial correlators with separations up to 0.6~fm. We argue that perturbative QCD breaks down at such a distance scale after resumming the associated large logarithms, while the ansatz used in the analysis there did not account for resummation or the leading renormalon, both of which significantly affect the convergence of perturbation theory. Besides, we provide an explanation why the ansatz appears to describe the lattice data despite the breakdown of perturbation theory at large distances. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2408.04674v1-abstract-full').style.display = 'none'; document.getElementById('2408.04674v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 August, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 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">3 pages, 3 figures; comment on arXiv:2407.16577</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2407.10739">arXiv:2407.10739</a> <span> [<a href="https://arxiv.org/pdf/2407.10739">pdf</a>, <a href="https://arxiv.org/format/2407.10739">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"> Non-perturbative Collins-Soper kernel: Chiral quarks and Coulomb-gauge-fixed quasi-TMD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Bollweg%2C+D">Dennis Bollweg</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2407.10739v1-abstract-short" style="display: inline;"> We present the first lattice QCD calculation of the rapidity anomalous dimension of transverse-momentum-dependent distributions (TMDs), i.e. the Collins-Soper (CS) kernel, employing the recently proposed Coulomb-gauge-fixed quasi-TMD formalism as well as a chiral-symmetry preserving lattice discretization. This unitary lattice calculation is conducted using the domain wall fermion discretization s… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2407.10739v1-abstract-full').style.display = 'inline'; document.getElementById('2407.10739v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2407.10739v1-abstract-full" style="display: none;"> We present the first lattice QCD calculation of the rapidity anomalous dimension of transverse-momentum-dependent distributions (TMDs), i.e. the Collins-Soper (CS) kernel, employing the recently proposed Coulomb-gauge-fixed quasi-TMD formalism as well as a chiral-symmetry preserving lattice discretization. This unitary lattice calculation is conducted using the domain wall fermion discretization scheme, a fine lattice spacing of approximately 0.08 fm, and physical values for light and strange quark masses. The CS kernel is determined analyzing the ratios of pion quasi-TMD wave functions (quasi-TMDWFs) at next-to-leading logarithmic (NLL) perturbative accuracy. Thanks to the absence of Wilson-lines, the Coulomb-gauge-fixed quasi-TMDWF demonstrates a remarkably slower decay of signals with increasing quark separations. This allows us to access the non-perturbative CS kernel up to transverse separations of 1 fm. For small transverse separations, our results agree well with perturbative predictions. At larger transverse separations, our non-perturbative CS kernel clearly favors certain global fits. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2407.10739v1-abstract-full').style.display = 'none'; document.getElementById('2407.10739v1-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 July, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 5 figures, contribution to the 31st International Workshop on Deep Inelastic Scattering and Related Subjects (DIS2024)</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2407.03516">arXiv:2407.03516</a> <span> [<a href="https://arxiv.org/pdf/2407.03516">pdf</a>, <a href="https://arxiv.org/format/2407.03516">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Three-dimensional Imaging of Pion using Lattice QCD: Generalized Parton Distributions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Ding%2C+H">Heng-Tong Ding</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Shi%2C+Q">Qi Shi</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2407.03516v1-abstract-short" style="display: inline;"> In this work, we report a lattice calculation of $x$-dependent valence pion generalized parton distributions (GPDs) at zero skewness with multiple values of the momentum transfer $-t$. The calculations are based on an $N_f=2+1$ gauge ensemble of highly improved staggered quarks with Wilson-Clover valence fermion. The lattice spacing is 0.04 fm, and the pion valence mass is tuned to be 300 MeV. We… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2407.03516v1-abstract-full').style.display = 'inline'; document.getElementById('2407.03516v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2407.03516v1-abstract-full" style="display: none;"> In this work, we report a lattice calculation of $x$-dependent valence pion generalized parton distributions (GPDs) at zero skewness with multiple values of the momentum transfer $-t$. The calculations are based on an $N_f=2+1$ gauge ensemble of highly improved staggered quarks with Wilson-Clover valence fermion. The lattice spacing is 0.04 fm, and the pion valence mass is tuned to be 300 MeV. We determine the Lorentz-invariant amplitudes of the quasi-GPD matrix elements for both symmetric and asymmetric momenta transfers with similar values and show the equivalence of both frames. Then, focusing on the asymmetric frame, we utilize a hybrid scheme to renormalize the quasi-GPD matrix elements obtained from the lattice calculations. After the Fourier transforms, the quasi-GPDs are then matched to the light-cone GPDs within the framework of large momentum effective theory with improved matching, including the next-to-next-to-leading order perturbative corrections, and leading renormalon and renormalization group resummations. We also present the 3-dimensional image of the pion in impact-parameter space through the Fourier transform of the momentum transfer $-t$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2407.03516v1-abstract-full').style.display = 'none'; document.getElementById('2407.03516v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 3 July, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">33 pages, 14 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2407.00206">arXiv:2407.00206</a> <span> [<a href="https://arxiv.org/pdf/2407.00206">pdf</a>, <a href="https://arxiv.org/format/2407.00206">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> <p class="title is-5 mathjax"> Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Cloet%2C+I">Ian Cloet</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+R">Rui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2407.00206v1-abstract-short" style="display: inline;"> We present a lattice QCD calculation of the $x$-dependent pion and kaon distribution amplitudes (DA) in the framework of large momentum effective theory. This calculation is performed on a fine lattice of $a=0.076$~fm at physical pion mass, with the pion boosted to $1.8$~GeV and kaon boosted to $2.3$~GeV. We renormalize the matrix elements in the hybrid scheme and match to $\overline{\rm MS}$ with… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2407.00206v1-abstract-full').style.display = 'inline'; document.getElementById('2407.00206v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2407.00206v1-abstract-full" style="display: none;"> We present a lattice QCD calculation of the $x$-dependent pion and kaon distribution amplitudes (DA) in the framework of large momentum effective theory. This calculation is performed on a fine lattice of $a=0.076$~fm at physical pion mass, with the pion boosted to $1.8$~GeV and kaon boosted to $2.3$~GeV. We renormalize the matrix elements in the hybrid scheme and match to $\overline{\rm MS}$ with a subtraction of the leading renormalon in the Wilson-line mass. The perturbative matching is improved by resumming the large logarithms related to the small quark and gluon momenta in the soft-gluon limit. After resummation, we demonstrate that we are able to calculate a range of $x\in[x_0,1-x_0]$ with $x_0=0.25$ for pion and $x_0=0.2$ for kaon with systematics under control. The kaon DA is shown to be slighted skewed, and narrower than pion DA. Although the $x$-dependence cannot be direct calculated beyond these ranges, we estimate higher moments of the pion and kaon DAs {by complementing} our calculation with short-distance factorization. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2407.00206v1-abstract-full').style.display = 'none'; document.getElementById('2407.00206v1-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 June, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2024. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2405.20120">arXiv:2405.20120</a> <span> [<a href="https://arxiv.org/pdf/2405.20120">pdf</a>, <a href="https://arxiv.org/format/2405.20120">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/JHEP07(2024)211">10.1007/JHEP07(2024)211 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Baker%2C+E">Ethan Baker</a>, <a href="/search/hep-lat?searchtype=author&query=Bollweg%2C+D">Dennis Bollweg</a>, <a href="/search/hep-lat?searchtype=author&query=Boyle%2C+P">Peter Boyle</a>, <a href="/search/hep-lat?searchtype=author&query=Clo%C3%ABt%2C+I">Ian Clo毛t</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+R">Rui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2405.20120v2-abstract-short" style="display: inline;"> We present a direct lattice QCD calculation of the $x$-dependence of the pion distribution amplitude (DA), which is performed using the quasi-DA in large momentum effective theory on a domain-wall fermion ensemble at physical quark masses and spacing $a\approx 0.084$ fm. The bare quais-DA matrix elements are renormalized in the hybrid scheme and matched to $\overline{\rm MS}$ with a subtraction of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2405.20120v2-abstract-full').style.display = 'inline'; document.getElementById('2405.20120v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2405.20120v2-abstract-full" style="display: none;"> We present a direct lattice QCD calculation of the $x$-dependence of the pion distribution amplitude (DA), which is performed using the quasi-DA in large momentum effective theory on a domain-wall fermion ensemble at physical quark masses and spacing $a\approx 0.084$ fm. The bare quais-DA matrix elements are renormalized in the hybrid scheme and matched to $\overline{\rm MS}$ with a subtraction of the leading renormalon in the Wilson-line mass. For the first time, we include threshold resummation in the perturbative matching onto the light-cone DA, which resums the large logarithms in the soft gluon limit at next-to-next-to-leading log. The resummed results show controlled scale-variation uncertainty within the range of momentum fraction $x\in[0.25,0.75]$ at the largest pion momentum $P_z\approx 1.85$~GeV. In addition, we apply the same analysis to quasi-DAs from a highly-improved-staggered-quark ensemble at physical pion mass and $a=0.076$ fm. By comparison we find with $2蟽$ confidence level that the DA obtained from chiral fermions is flatter and lower near $x=0.5$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2405.20120v2-abstract-full').style.display = 'none'; document.getElementById('2405.20120v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 July, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 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">update to match the version published in journal</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP07(2024)211 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2404.04412">arXiv:2404.04412</a> <span> [<a href="https://arxiv.org/pdf/2404.04412">pdf</a>, <a href="https://arxiv.org/format/2404.04412">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevLett.133.181902">10.1103/PhysRevLett.133.181902 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> QCD Predictions for Meson Electromagnetic Form Factors at High Momenta: Testing Factorization in Exclusive Processes </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Ding%2C+H">Heng-Tong Ding</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Hanlon%2C+A+D">Andrew D. Hanlon</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Shi%2C+Q">Qi Shi</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+R">Rui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2404.04412v2-abstract-short" style="display: inline;"> We report the first lattice QCD computation of pion and kaon electromagnetic form factors, $F_M(Q^2)$, at large momentum transfer up to 10 and 28 $\mathrm{GeV}^2$, respectively. Utilizing physical masses and two fine lattices, we achieve good agreement with JLab experimental results at $Q^2 \lesssim 4~\mathrm{GeV}^2$. For $Q^2 \gtrsim 4~\mathrm{GeV}^2$, our results provide $\textit{ab-initio}$ QCD… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2404.04412v2-abstract-full').style.display = 'inline'; document.getElementById('2404.04412v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2404.04412v2-abstract-full" style="display: none;"> We report the first lattice QCD computation of pion and kaon electromagnetic form factors, $F_M(Q^2)$, at large momentum transfer up to 10 and 28 $\mathrm{GeV}^2$, respectively. Utilizing physical masses and two fine lattices, we achieve good agreement with JLab experimental results at $Q^2 \lesssim 4~\mathrm{GeV}^2$. For $Q^2 \gtrsim 4~\mathrm{GeV}^2$, our results provide $\textit{ab-initio}$ QCD benchmarks for the forthcoming experiments at JLab 12 GeV and future electron-ion colliders. We also test the QCD collinear factorization framework utilizing our high-$Q^2$ form factors at next-to-next-to-leading order in perturbation theory, which relates the form factors to the leading Fock-state meson distribution amplitudes. Comparisons with independent lattice QCD calculations using the same framework demonstrate, within estimated uncertainties, the universality of these nonperturbative quantities. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2404.04412v2-abstract-full').style.display = 'none'; document.getElementById('2404.04412v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 October, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 5 April, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 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">Phys. Rev. Lett. 133, 181902; 15 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/2403.05282">arXiv:2403.05282</a> <span> [<a href="https://arxiv.org/pdf/2403.05282">pdf</a>, <a href="https://arxiv.org/format/2403.05282">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Theory">hep-th</span> </div> </div> <p class="title is-5 mathjax"> Proton Helicity GPDs from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Miller%2C+J">Joshua Miller</a>, <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+S">Shohini Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Cichy%2C+K">Krzysztof Cichy</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Steffens%2C+F">Fernanda Steffens</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2403.05282v1-abstract-short" style="display: inline;"> First lattice QCD calculations of $x$-dependent GPD have been performed in the (symmetric) Breit frame, where the momentum transfer is evenly divided between the initial and final hadron states. However, employing the asymmetric frame, we are able to obtain proton GPDs for multiple momentum transfers in a computationally efficient setup. In these proceedings, we focus on the helicity twist-2 GPD a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2403.05282v1-abstract-full').style.display = 'inline'; document.getElementById('2403.05282v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2403.05282v1-abstract-full" style="display: none;"> First lattice QCD calculations of $x$-dependent GPD have been performed in the (symmetric) Breit frame, where the momentum transfer is evenly divided between the initial and final hadron states. However, employing the asymmetric frame, we are able to obtain proton GPDs for multiple momentum transfers in a computationally efficient setup. In these proceedings, we focus on the helicity twist-2 GPD at zero skewness that gives access to the $\widetilde{H}$ GPD. We will cover the implementation of the asymmetric frame, its comparison to the Breit frame, and the dependence of the GPD on the squared four-momentum transfer, $-t$. The calculation is performed on an $N_f = 2+1+1$ ensemble of twisted mass fermions with a clover improvement. The mass of the pion for this ensemble is roughly 260 MeV. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2403.05282v1-abstract-full').style.display = 'none'; document.getElementById('2403.05282v1-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 March, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">9 pages, 4 figures, Contribution to The 40th International Symposium on Lattice Field Theory (Lattice 2023)</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2403.00664">arXiv:2403.00664</a> <span> [<a href="https://arxiv.org/pdf/2403.00664">pdf</a>, <a href="https://arxiv.org/format/2403.00664">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/10.1016/j.physletb.2024.138617">10.1016/j.physletb.2024.138617 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Nonperturbative Collins-Soper Kernel from Chiral Quarks with Physical Masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bollweg%2C+D">Dennis Bollweg</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2403.00664v2-abstract-short" style="display: inline;"> We present a lattice QCD calculation of the rapidity anomalous dimension of quark transverse-momentum-dependent distributions, i.e., the Collins-Soper (CS) kernel, up to transverse separations of about 1 fm. This unitary lattice calculation is conducted, for the first time, employing the chiral-symmetry-preserving domain wall fermion discretization and physical values of light and strange quark ma… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2403.00664v2-abstract-full').style.display = 'inline'; document.getElementById('2403.00664v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2403.00664v2-abstract-full" style="display: none;"> We present a lattice QCD calculation of the rapidity anomalous dimension of quark transverse-momentum-dependent distributions, i.e., the Collins-Soper (CS) kernel, up to transverse separations of about 1 fm. This unitary lattice calculation is conducted, for the first time, employing the chiral-symmetry-preserving domain wall fermion discretization and physical values of light and strange quark masses. The CS kernel is extracted from the ratios of pion quasi-transverse-momentum-dependent wave functions (quasi-TMDWFs) at next-to-leading logarithmic perturbative accuracy. Also for the first time, we utilize the recently proposed Coulomb-gauge-fixed quasi-TMDWF correlator without a Wilson line. We observe significantly slower signal decay with increasing quark separations compared to the established gauge-invariant method with a staple-shaped Wilson line. This enables us to determine the CS kernel at large nonperturbative transverse separations and find its near-linear dependence on the latter. Our result is consistent with the recent lattice calculation using gauge-invariant quasi-TMDWFs, and agrees with various recent phenomenological parametrizations of experimental data. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2403.00664v2-abstract-full').style.display = 'none'; document.getElementById('2403.00664v2-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 April, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 1 March, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 4 figures; published version</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Lett.B 852 (2024) 138617 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2402.06725">arXiv:2402.06725</a> <span> [<a href="https://arxiv.org/pdf/2402.06725">pdf</a>, <a href="https://arxiv.org/format/2402.06725">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Determination of the Collins-Soper kernel from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Avkhadiev%2C+A">Artur Avkhadiev</a>, <a href="/search/hep-lat?searchtype=author&query=Shanahan%2C+P+E">Phiala E. Shanahan</a>, <a href="/search/hep-lat?searchtype=author&query=Wagman%2C+M+L">Michael L. Wagman</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2402.06725v1-abstract-short" style="display: inline;"> This work presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice quantum chromodynamics (QCD). This is the first such determination with systematic control of quark mass, operator mixing, and discretization effects. Next-to-next-to-leading logarithmic matching is used to match l… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2402.06725v1-abstract-full').style.display = 'inline'; document.getElementById('2402.06725v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2402.06725v1-abstract-full" style="display: none;"> This work presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice quantum chromodynamics (QCD). This is the first such determination with systematic control of quark mass, operator mixing, and discretization effects. Next-to-next-to-leading logarithmic matching is used to match lattice-calculable distributions to the corresponding TMDs. The continuum-extrapolated lattice QCD results are consistent with several recent phenomenological parameterizations of the Collins-Soper kernel and are precise enough to disfavor other parameterizations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2402.06725v1-abstract-full').style.display = 'none'; document.getElementById('2402.06725v1-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 February, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FERMILAB-PUB-24-0037-T, MIT-CTP/5677 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2312.04315">arXiv:2312.04315</a> <span> [<a href="https://arxiv.org/pdf/2312.04315">pdf</a>, <a href="https://arxiv.org/format/2312.04315">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 lattice extraction of the TMD soft function using the auxiliary field representation of the Wilson line </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Francis%2C+A">Anthony Francis</a>, <a href="/search/hep-lat?searchtype=author&query=Kanamori%2C+I">Issaku Kanamori</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=Morris%2C+W">Wayne Morris</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2312.04315v3-abstract-short" style="display: inline;"> The TMD soft function can be obtained by formulating the Wilson line in terms of auxiliary 1-dimensional fermion fields on the lattice. In this formulation, the directional vector of the auxiliary field in Euclidean space has the form $\tilde n = (in^0, \vec 0_\perp, n^3)$, where the time component is purely imaginary. The components of these complex directional vectors in the Euclidean space can… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.04315v3-abstract-full').style.display = 'inline'; document.getElementById('2312.04315v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2312.04315v3-abstract-full" style="display: none;"> The TMD soft function can be obtained by formulating the Wilson line in terms of auxiliary 1-dimensional fermion fields on the lattice. In this formulation, the directional vector of the auxiliary field in Euclidean space has the form $\tilde n = (in^0, \vec 0_\perp, n^3)$, where the time component is purely imaginary. The components of these complex directional vectors in the Euclidean space can be mapped directly to the rapidities of the Minkowski space soft function. We present the results of the one-loop calculation of the Euclidean space analog to the soft function using these complex directional vectors. As a result, we show that the calculation is valid only when the directional vectors obey the relation: $|r| = |n^3/n^0| > 1$, and that this result corresponds to a computation in Minkowski space with space-like directed Wilson lines. Finally, we show that a lattice calculable object can be constructed that has the desired properties of the soft function. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2312.04315v3-abstract-full').style.display = 'none'; document.getElementById('2312.04315v3-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 January, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 7 December, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">The 40th International Symposium on Lattice Field Theory (Lattice 2023)</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2311.01391">arXiv:2311.01391</a> <span> [<a href="https://arxiv.org/pdf/2311.01391">pdf</a>, <a href="https://arxiv.org/ps/2311.01391">ps</a>, <a href="https://arxiv.org/format/2311.01391">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="High Energy Physics - Theory">hep-th</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Transverse Momentum Distributions from Lattice QCD without Wilson Lines </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2311.01391v2-abstract-short" style="display: inline;"> The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a Euclidean lattice. These quantities can be expressed gauge-invariantly as the correlators of dressed fields in the Coulomb gauge, which reduce to the standard… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.01391v2-abstract-full').style.display = 'inline'; document.getElementById('2311.01391v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2311.01391v2-abstract-full" style="display: none;"> The transverse-momentum-dependent distributions (TMDs), which are defined by gauge-invariant 3D parton correlators with staple-shaped lightlike Wilson lines, can be calculated from quark and gluon correlators fixed in the Coulomb gauge on a Euclidean lattice. These quantities can be expressed gauge-invariantly as the correlators of dressed fields in the Coulomb gauge, which reduce to the standard TMD correlators in the infinite boost limit. In the framework of Large-Momentum Effective Theory, a quasi-TMD defined from such correlators in a large-momentum hadron state can be matched to the TMD via a factorization formula, whose exact form is derived using Soft Collinear Effective Theory and verified at one-loop order. Compared to the currently used gauge-invariant quasi-TMDs, this new method can substantially improve statistical precision and simplify renormalization, thus providing a more efficient way to calculate TMDs in lattice QCD. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.01391v2-abstract-full').style.display = 'none'; document.getElementById('2311.01391v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 3 November, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 2 November, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">4 pages</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2311.01322">arXiv:2311.01322</a> <span> [<a href="https://arxiv.org/pdf/2311.01322">pdf</a>, <a href="https://arxiv.org/format/2311.01322">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Lattice QCD Constraints on the Fourth Mellin Moment of the Pion Light Cone Distribution Amplitude using the HOPE method </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&query=Grebe%2C+A+V">Anthony V. Grebe</a>, <a href="/search/hep-lat?searchtype=author&query=Kanamori%2C+I">Issaku Kanamori</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=Perry%2C+R+J">Robert J. Perry</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2311.01322v1-abstract-short" style="display: inline;"> The light-cone distribution amplitude (LCDA) of the pion contains information about the parton momentum carried by the quarks and is an important theoretical input for various predictions of exclusive processes at high energy, including the pion electromagnetic form factor. Progress towards constraining the fourth Mellin moment of the LCDA using the heavy-quark operator product expansion (HOPE) me… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.01322v1-abstract-full').style.display = 'inline'; document.getElementById('2311.01322v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2311.01322v1-abstract-full" style="display: none;"> The light-cone distribution amplitude (LCDA) of the pion contains information about the parton momentum carried by the quarks and is an important theoretical input for various predictions of exclusive processes at high energy, including the pion electromagnetic form factor. Progress towards constraining the fourth Mellin moment of the LCDA using the heavy-quark operator product expansion (HOPE) method is presented. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.01322v1-abstract-full').style.display = 'none'; document.getElementById('2311.01322v1-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, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 4 figures, proceedings to talk presented at the 40th International Symposium on Lattice Field Theory, July 31st - August 4th 2023, Fermi National Accelerator Laboratory, Batavia, Illinois, USA. arXiv admin note: text overlap with arXiv:2211.17009</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5645, FERMILAB-CONF-23-659-T </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2310.19047">arXiv:2310.19047</a> <span> [<a href="https://arxiv.org/pdf/2310.19047">pdf</a>, <a href="https://arxiv.org/format/2310.19047">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> <p class="title is-5 mathjax"> Transversity PDFs of the proton from lattice QCD with physical quark masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Hanlon%2C+A+D">Andrew D. Hanlon</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Shi%2C+Q">Qi Shi</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2310.19047v2-abstract-short" style="display: inline;"> We present a lattice QCD calculation of the transversity isovector- and isoscalar-quark parton distribution functions (PDFs) of the proton utilizing a perturbative matching at next-to-leading-order (NLO) accuracy. Additionally, we determine the isovector and isoscalar tensor charges for the proton. In both calculations, the disconnected contributions to the isoscalar matrix elements have been igno… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2310.19047v2-abstract-full').style.display = 'inline'; document.getElementById('2310.19047v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2310.19047v2-abstract-full" style="display: none;"> We present a lattice QCD calculation of the transversity isovector- and isoscalar-quark parton distribution functions (PDFs) of the proton utilizing a perturbative matching at next-to-leading-order (NLO) accuracy. Additionally, we determine the isovector and isoscalar tensor charges for the proton. In both calculations, the disconnected contributions to the isoscalar matrix elements have been ignored. The calculations are performed using a single ensemble of $N_f = 2 +1$ highly-improved staggered quarks simulated with physical-mass quarks and a lattice spacing of $a = 0.076$ fm. The Wilson-clover action, with physical quark masses and smeared gauge links obtained from one iteration of hypercubic smearing, is used in the valence sector. Using the NLO operator product expansion, we extract the lowest four to six Mellin moments and the PDFs via a neural network from the matrix elements in the pseudo-PDF approach. In addition, we calculate the PDFs in the quasi-PDF approach with hybrid-scheme renormalization and the recently developed leading-renormalon resummation technique, at NLO with the resummation of leading small-$x$ logarithms. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2310.19047v2-abstract-full').style.display = 'none'; document.getElementById('2310.19047v2-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, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 29 October, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">23 pages, 22 figures, and 2 tables; version accepted for publication in PRD</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2310.13114">arXiv:2310.13114</a> <span> [<a href="https://arxiv.org/pdf/2310.13114">pdf</a>, <a href="https://arxiv.org/format/2310.13114">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="High Energy Physics - Theory">hep-th</span> </div> </div> <p class="title is-5 mathjax"> Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Axial-vector case </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+S">Shohini Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Cichy%2C+K">Krzysztof Cichy</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dodson%2C+J">Jack Dodson</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Miller%2C+J">Joshua Miller</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Steffens%2C+F">Fernanda Steffens</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2310.13114v2-abstract-short" style="display: inline;"> Recently, we made significant advancements in improving the computational efficiency of lattice QCD calculations for Generalized Parton Distributions (GPDs). This progress was achieved by adopting calculations of matrix elements in asymmetric frames, deviating from the computationally-expensive symmetric frame typically used, and allowing freedom in the choice for the distribution of the momentum… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2310.13114v2-abstract-full').style.display = 'inline'; document.getElementById('2310.13114v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2310.13114v2-abstract-full" style="display: none;"> Recently, we made significant advancements in improving the computational efficiency of lattice QCD calculations for Generalized Parton Distributions (GPDs). This progress was achieved by adopting calculations of matrix elements in asymmetric frames, deviating from the computationally-expensive symmetric frame typically used, and allowing freedom in the choice for the distribution of the momentum transfer between the initial and final states. A crucial aspect of this approach involves the adoption of a Lorentz covariant parameterization for the matrix elements, introducing Lorentz-invariant amplitudes. This approach also allows us to propose an alternative definition of quasi-GPDs, ensuring frame independence and potentially reduce power corrections in matching to light-cone GPDs. In our previous work, we presented lattice QCD results for twist-2 unpolarized GPDs ($H$ and $E$) of quarks obtained from calculations performed in asymmetric frames at zero skewness. Building upon this work, we now introduce a novel Lorentz covariant parameterization for the axial-vector matrix elements. We employ this parameterization to compute the axial-vector GPD $\widetilde{H}$ at zero skewness, using an $N_f=2+1+1$ ensemble of twisted mass fermions with clover improvement. The light-quark masses employed in our calculations correspond to a pion mass of approximately 260 MeV. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2310.13114v2-abstract-full').style.display = 'none'; document.getElementById('2310.13114v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 February, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 19 October, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 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">32 pages, 20 figures. Version accepted for publication in Physical Review D</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2309.14680">arXiv:2309.14680</a> <span> [<a href="https://arxiv.org/pdf/2309.14680">pdf</a>, <a href="https://arxiv.org/ps/2309.14680">ps</a>, <a href="https://arxiv.org/format/2309.14680">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"> Finite volume effects of the Nambu-Jona-Lasinio model with the running coupling constant </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Su%2C+S">Shou-Zheng Su</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Ye-Yin Zhao</a>, <a href="/search/hep-lat?searchtype=author&query=Wen%2C+X">Xin-Jian Wen</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2309.14680v1-abstract-short" style="display: inline;"> With the Schwinger's proper-time formalism of the Nambu-Jona-Lasinio model, we investigate the finite volume effects in the presence of magnetic fields. Since the coupling constant $G$ can be influenced by strong magnetic fields, the model is solved with a running coupling constant $G(B)$ which is fitted by the lattice average $(危_u+危_d)/2$ and difference $危_u-危_d$. The investigation mainly focuse… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2309.14680v1-abstract-full').style.display = 'inline'; document.getElementById('2309.14680v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2309.14680v1-abstract-full" style="display: none;"> With the Schwinger's proper-time formalism of the Nambu-Jona-Lasinio model, we investigate the finite volume effects in the presence of magnetic fields. Since the coupling constant $G$ can be influenced by strong magnetic fields, the model is solved with a running coupling constant $G(B)$ which is fitted by the lattice average $(危_u+危_d)/2$ and difference $危_u-危_d$. The investigation mainly focuses on the constituent quark mass and the thermal susceptibility depending on the magnetic fields, the temperatures and the finite sizes. For the model in finite or infinite volume, the magnetic fields can increase the constituent quark mass while the temperatures can decrease it inversely. There is a narrow range of the box length that makes the effects of finite volume perform prominently. The model will behave close to infinite volume limit for larger box length. It is shown that the influence of finite volume can be changed by magnetic fields and temperatures. Finally, we discuss the thermal susceptibility depending on the temperature in finite volume in the presence of magnetic fields. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2309.14680v1-abstract-full').style.display = 'none'; document.getElementById('2309.14680v1-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 September, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">13 pages, 6 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/2307.12359">arXiv:2307.12359</a> <span> [<a href="https://arxiv.org/pdf/2307.12359">pdf</a>, <a href="https://arxiv.org/format/2307.12359">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Collins-Soper kernel from lattice QCD at the physical pion mass </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Avkhadiev%2C+A">Artur Avkhadiev</a>, <a href="/search/hep-lat?searchtype=author&query=Shanahan%2C+P">Phiala Shanahan</a>, <a href="/search/hep-lat?searchtype=author&query=Wagman%2C+M">Michael Wagman</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2307.12359v2-abstract-short" style="display: inline;"> This work presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice Quantum Chromodynamics (QCD). This is the first lattice QCD calculation of the kernel at quark masses corresponding to a close-to-physical value of the pion mass, with next-to-next-leading logarithmic matching to T… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2307.12359v2-abstract-full').style.display = 'inline'; document.getElementById('2307.12359v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2307.12359v2-abstract-full" style="display: none;"> This work presents a determination of the quark Collins-Soper kernel, which relates transverse-momentum-dependent parton distributions (TMDs) at different rapidity scales, using lattice Quantum Chromodynamics (QCD). This is the first lattice QCD calculation of the kernel at quark masses corresponding to a close-to-physical value of the pion mass, with next-to-next-leading logarithmic matching to TMDs from the corresponding lattice-calculable distributions, and includes a complete analysis of systematic uncertainties arising from operator mixing. The kernel is extracted at transverse momentum scales $240\,\text{MeV}\lesssim q_{T}\lesssim 1.6\,\text{GeV}$ with a precision sufficient to begin to discriminate between different phenomenological models in the non-perturbative region. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2307.12359v2-abstract-full').style.display = 'none'; document.getElementById('2307.12359v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 January, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 23 July, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 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">52 pages, 47 figures, 3 tables</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5587, FERMILAB-PUB-23-375-T </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 108, 114505 (2023) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2306.14960">arXiv:2306.14960</a> <span> [<a href="https://arxiv.org/pdf/2306.14960">pdf</a>, <a href="https://arxiv.org/format/2306.14960">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> <p class="title is-5 mathjax"> Parton Distributions from Boosted Fields in the Coulomb Gauge </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+W">Wei-Yang Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2306.14960v3-abstract-short" style="display: inline;"> We propose a new method to calculate parton distribution functions (PDFs) from lattice correlations of boosted quarks and gluons in the Coulomb gauge. Compared to the widely used gauge-invariant Wilson-line operators, these correlations greatly simplify the renormalization thanks to the absence of linear power divergence. Besides, they enable access to larger off-axis momenta under preserved 3D ro… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.14960v3-abstract-full').style.display = 'inline'; document.getElementById('2306.14960v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2306.14960v3-abstract-full" style="display: none;"> We propose a new method to calculate parton distribution functions (PDFs) from lattice correlations of boosted quarks and gluons in the Coulomb gauge. Compared to the widely used gauge-invariant Wilson-line operators, these correlations greatly simplify the renormalization thanks to the absence of linear power divergence. Besides, they enable access to larger off-axis momenta under preserved 3D rotational symmetry, as well as enhanced long-range precision that facilitates the Fourier transform. We verify the factorization formula that relates this new observable to the quark PDF at one-loop order in perturbation theory. Moreover, through a lattice calculation of the pion valence quark PDF, we demonstrate the aforementioned advantage and features of the Coulomb gauge correlation and show that it yields consistent result with the gauge-invariant method. This opens the door to a more efficient way to calculate parton physics on the lattice. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2306.14960v3-abstract-full').style.display = 'none'; document.getElementById('2306.14960v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 April, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 26 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">5 pages, 4 figures, and the appendix</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2305.11117">arXiv:2305.11117</a> <span> [<a href="https://arxiv.org/pdf/2305.11117">pdf</a>, <a href="https://arxiv.org/format/2305.11117">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.108.014507">10.1103/PhysRevD.108.014507 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Moments of proton GPDs from the OPE of nonlocal quark bilinears up to NNLO </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+S">Shohini Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Cichy%2C+K">Krzysztof Cichy</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Miller%2C+J">Joshua Miller</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Steffens%2C+F">Fernanda Steffens</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2305.11117v1-abstract-short" style="display: inline;"> For the first time, we present a lattice QCD determination of Mellin moments of unpolarized generalized parton distributions (GPDs) of the proton from an analysis of the quasi-GPD matrix elements within the short-distance factorization framework. We perform our calculation on an $N_f$=2+1+1 twisted mass fermions ensemble with a clover improvement at lattice spacing $a=0.093$ fm and a pion mass of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.11117v1-abstract-full').style.display = 'inline'; document.getElementById('2305.11117v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2305.11117v1-abstract-full" style="display: none;"> For the first time, we present a lattice QCD determination of Mellin moments of unpolarized generalized parton distributions (GPDs) of the proton from an analysis of the quasi-GPD matrix elements within the short-distance factorization framework. We perform our calculation on an $N_f$=2+1+1 twisted mass fermions ensemble with a clover improvement at lattice spacing $a=0.093$ fm and a pion mass of $m_蟺=260$ MeV. Focusing on the zero-skewness case, the iso-vector and iso-scalar quasi-GPDs are calculated from the $纬_0$ definition, as well as a recently proposed Lorentz-invariant definition. We utilize data on both symmetric and asymmetric kinematic frames, which allows us to obtain the Mellin moments for several values of the momentum transfer, $-t$, in the range 0.17 to $2.77~\rm{GeV}^2$. We use the ratio scheme for GPDs, i.e. renormalization group invariant ratios with leading-twist factorization formula and perturbatively calculated matching coefficients up to the next-next-to-leading order (NNLO) to extract Mellin moments of GPDs, which are consistent with renormalization-group improved results. We compare our determination from quasi-GPDs with the results extracted using standard calculations of Mellin moments of local operators, specifically those related to the electromagnetic and gravitational form factors. We estimated the moments of GPDs up to the fifth ones for the first time. By extrapolating the Mellin moments to $-t=0$, we obtained the quark charges, momentum fraction, as well as the angular momentum contributions to the proton spin. The impact parameter space interpretation of the GPD moments is discussed, which provides insights into the spatial distribution of unpolarized quarks and their correlations in the transverse plane of an unpolarized or transversely polarized proton. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2305.11117v1-abstract-full').style.display = 'none'; document.getElementById('2305.11117v1-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 May, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">28 pages, 22 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/2304.14970">arXiv:2304.14970</a> <span> [<a href="https://arxiv.org/pdf/2304.14970">pdf</a>, <a href="https://arxiv.org/ps/2304.14970">ps</a>, <a href="https://arxiv.org/format/2304.14970">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"> Generalized Parton Distributions from Lattice QCD </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Cichy%2C+K">Krzysztof Cichy</a>, <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+S">Shohini Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dodson%2C+J">Jack Dodson</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Miller%2C+J">Joshua Miller</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Scapellato%2C+A">Aurora Scapellato</a>, <a href="/search/hep-lat?searchtype=author&query=Steffens%2C+F">Fernanda Steffens</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2304.14970v1-abstract-short" style="display: inline;"> In recent years, there has been a breakthrough in lattice calculations of $x$-dependent partonic distributions. This encompasses also distributions describing the 3D structure of the nucleon, such as generalized parton distributions (GPDs). We report a new method of accessing GPDs in asymmetric frames of reference, relying on a novel Lorentz-covariant parametrization of the accessed off-forward ma… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2304.14970v1-abstract-full').style.display = 'inline'; document.getElementById('2304.14970v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2304.14970v1-abstract-full" style="display: none;"> In recent years, there has been a breakthrough in lattice calculations of $x$-dependent partonic distributions. This encompasses also distributions describing the 3D structure of the nucleon, such as generalized parton distributions (GPDs). We report a new method of accessing GPDs in asymmetric frames of reference, relying on a novel Lorentz-covariant parametrization of the accessed off-forward matrix elements in boosted nucleon states. The approach offers the possibility of computationally more efficient determination of the full parameter dependence of GPDs and as such, it can contribute to better understanding of nucleon's structure. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2304.14970v1-abstract-full').style.display = 'none'; document.getElementById('2304.14970v1-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 April, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 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">Proceedings of XXIX Cracow Epiphany Conference on Physics at the EIC and Future Facilities, 16-19 January 2023; 15 pages, 7 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/2304.03302">arXiv:2304.03302</a> <span> [<a href="https://arxiv.org/pdf/2304.03302">pdf</a>, <a href="https://arxiv.org/format/2304.03302">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> </div> </div> <p class="title is-5 mathjax"> TMD Handbook </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Boussarie%2C+R">Renaud Boussarie</a>, <a href="/search/hep-lat?searchtype=author&query=Burkardt%2C+M">Matthias Burkardt</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&query=Ebert%2C+M">Markus Ebert</a>, <a href="/search/hep-lat?searchtype=author&query=Engelhardt%2C+M">Michael Engelhardt</a>, <a href="/search/hep-lat?searchtype=author&query=Fleming%2C+S">Sean Fleming</a>, <a href="/search/hep-lat?searchtype=author&query=Gamberg%2C+L">Leonard Gamberg</a>, <a href="/search/hep-lat?searchtype=author&query=Ji%2C+X">Xiangdong Ji</a>, <a href="/search/hep-lat?searchtype=author&query=Kang%2C+Z">Zhong-Bo Kang</a>, <a href="/search/hep-lat?searchtype=author&query=Lee%2C+C">Christopher Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+K">Keh-Fei Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Liuti%2C+S">Simonetta Liuti</a>, <a href="/search/hep-lat?searchtype=author&query=Mehen%2C+T">Thomas Mehen</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Negele%2C+J">John Negele</a>, <a href="/search/hep-lat?searchtype=author&query=Pitonyak%2C+D">Daniel Pitonyak</a>, <a href="/search/hep-lat?searchtype=author&query=Prokudin%2C+A">Alexei Prokudin</a>, <a href="/search/hep-lat?searchtype=author&query=Qiu%2C+J">Jian-Wei Qiu</a>, <a href="/search/hep-lat?searchtype=author&query=Rajan%2C+A">Abha Rajan</a>, <a href="/search/hep-lat?searchtype=author&query=Schlegel%2C+M">Marc Schlegel</a>, <a href="/search/hep-lat?searchtype=author&query=Shanahan%2C+P">Phiala Shanahan</a>, <a href="/search/hep-lat?searchtype=author&query=Schweitzer%2C+P">Peter Schweitzer</a>, <a href="/search/hep-lat?searchtype=author&query=Stewart%2C+I+W">Iain W. Stewart</a>, <a href="/search/hep-lat?searchtype=author&query=Tarasov%2C+A">Andrey Tarasov</a> , et al. (4 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="2304.03302v1-abstract-short" style="display: inline;"> This handbook provides a comprehensive review of transverse-momentum-dependent parton distribution functions and fragmentation functions, commonly referred to as transverse momentum distributions (TMDs). TMDs describe the distribution of partons inside the proton and other hadrons with respect to both their longitudinal and transverse momenta. They provide unique insight into the internal momentum… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2304.03302v1-abstract-full').style.display = 'inline'; document.getElementById('2304.03302v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2304.03302v1-abstract-full" style="display: none;"> This handbook provides a comprehensive review of transverse-momentum-dependent parton distribution functions and fragmentation functions, commonly referred to as transverse momentum distributions (TMDs). TMDs describe the distribution of partons inside the proton and other hadrons with respect to both their longitudinal and transverse momenta. They provide unique insight into the internal momentum and spin structure of hadrons, and are a key ingredient in the description of many collider physics cross sections. Understanding TMDs requires a combination of theoretical techniques from quantum field theory, nonperturbative calculations using lattice QCD, and phenomenological analysis of experimental data. The handbook covers a wide range of topics, from theoretical foundations to experimental analyses, as well as recent developments and future directions. It is intended to provide an essential reference for researchers and graduate students interested in understanding the structure of hadrons and the dynamics of partons in high energy collisions. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2304.03302v1-abstract-full').style.display = 'none'; document.getElementById('2304.03302v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 6 April, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 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">471 pages, many figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-23-3780, LA-UR-21-20798, MIT-CTP/5386 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2301.03400">arXiv:2301.03400</a> <span> [<a href="https://arxiv.org/pdf/2301.03400">pdf</a>, <a href="https://arxiv.org/format/2301.03400">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"> GPDs in asymmetric frames </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+S">Shohini Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Cichy%2C+K">Krzysztof Cichy</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dodson%2C+J">Jack Dodson</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Scapellato%2C+A">Aurora Scapellato</a>, <a href="/search/hep-lat?searchtype=author&query=Steffens%2C+F">Fernanda Steffens</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2301.03400v1-abstract-short" style="display: inline;"> It is often taken for granted that Generalized Parton Distributions (GPDs) are defined in the "symmetric" frame, where the transferred momentum is symmetrically distributed between the incoming/outgoing hadrons. However, such frames pose computational challenges for the lattice QCD practitioners. In these proceedings, we lay the foundation for lattice QCD calculations of GPDs in "asymmetric" frame… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2301.03400v1-abstract-full').style.display = 'inline'; document.getElementById('2301.03400v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2301.03400v1-abstract-full" style="display: none;"> It is often taken for granted that Generalized Parton Distributions (GPDs) are defined in the "symmetric" frame, where the transferred momentum is symmetrically distributed between the incoming/outgoing hadrons. However, such frames pose computational challenges for the lattice QCD practitioners. In these proceedings, we lay the foundation for lattice QCD calculations of GPDs in "asymmetric" frames, where the transferred momentum is not symmetrically distributed between the incoming/outgoing hadrons. The novelty of our work relies on the parameterization of the matrix elements in terms of Lorentz-invariant amplitudes, which not only helps in establishing relations between the said frames but also helps in isolating higher-twist contaminations. As an example, we focus on the unpolarized GPDs for spin-1/2 particles. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2301.03400v1-abstract-full').style.display = 'none'; document.getElementById('2301.03400v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 January, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 1 figure, contribution to the 39th International Symposium on Lattice Field Theory, Lattice 2022, Bonn, Germany</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2212.12569">arXiv:2212.12569</a> <span> [<a href="https://arxiv.org/pdf/2212.12569">pdf</a>, <a href="https://arxiv.org/format/2212.12569">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.107.074509">10.1103/PhysRevD.107.074509 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Hanlon%2C+A+D">Andrew D. Hanlon</a>, <a href="/search/hep-lat?searchtype=author&query=Holligan%2C+J">Jack Holligan</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2212.12569v2-abstract-short" style="display: inline;"> We present a lattice QCD calculation of the unpolarized isovector quark parton distribution function (PDF) of the proton utilizing a perturbative matching at next-to-next-to-leading-order (NNLO). The calculations are carried out using a single ensemble of gauge configurations generated with $N_f = 2 + 1$ highly-improved staggered quarks with physical masses and a lattice spacing of $a = 0.076$ fm.… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.12569v2-abstract-full').style.display = 'inline'; document.getElementById('2212.12569v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.12569v2-abstract-full" style="display: none;"> We present a lattice QCD calculation of the unpolarized isovector quark parton distribution function (PDF) of the proton utilizing a perturbative matching at next-to-next-to-leading-order (NNLO). The calculations are carried out using a single ensemble of gauge configurations generated with $N_f = 2 + 1$ highly-improved staggered quarks with physical masses and a lattice spacing of $a = 0.076$ fm. We use one iteration of hypercubic smearing on these gauge configurations, and the resulting smeared configurations are then used for all aspects of the subsequent calculation. For the valence quarks, we use the Wilson-clover action with physical quark masses. We consider several methods for extracting information on the PDF. We first extract the lowest four Mellin moments using the leading-twist operator product expansion approximation. Then, we determine the $x$ dependence of the PDF through a deep neural network within the pseudo-PDF approach and additionally through the framework of large-momentum effective theory utilizing a hybrid renormalization scheme. This is the first application of the NNLO matching coefficients for the nucleon directly at the physical point. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.12569v2-abstract-full').style.display = 'none'; document.getElementById('2212.12569v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 25 April, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 23 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">20 pages, 17 figures, and 3 tables; version accepted for publication in PRD</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2212.09818">arXiv:2212.09818</a> <span> [<a href="https://arxiv.org/pdf/2212.09818">pdf</a>, <a href="https://arxiv.org/format/2212.09818">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"> Accessing proton GPDs in asymmetric frames: Numerical implementation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+S">Shohini Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Cichy%2C+K">Krzysztof Cichy</a>, <a href="/search/hep-lat?searchtype=author&query=Dodson%2C+J">Jack Dodson</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Scapellato%2C+A">Aurora Scapellato</a>, <a href="/search/hep-lat?searchtype=author&query=Steffens%2C+F">Fernanda Steffens</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2212.09818v1-abstract-short" style="display: inline;"> In this work, we present a numerical investigation of a novel Lorentz-covariant parametrization to extract $x$-dependent GPDs using off-forward matrix elements of momentum-boosted hadrons coupled to non-local operators. The novelty of the method is the implementation of an asymmetric frame for the momentum transfer between the initial and final hadron state and the parametrization of the matrix el… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.09818v1-abstract-full').style.display = 'inline'; document.getElementById('2212.09818v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2212.09818v1-abstract-full" style="display: none;"> In this work, we present a numerical investigation of a novel Lorentz-covariant parametrization to extract $x$-dependent GPDs using off-forward matrix elements of momentum-boosted hadrons coupled to non-local operators. The novelty of the method is the implementation of an asymmetric frame for the momentum transfer between the initial and final hadron state and the parametrization of the matrix elements into Lorentz-invariant amplitudes. The amplitudes can then be related to the standard light-cone GPDs. GPDs are defined in the symmetric frame, which requires a separate calculation for each value of the momentum transfer, increasing the computational cost significantly. The proposed method is powerful, as one can extract the GPDs at multiple values of the momentum transfer at the computational cost of a single value. For this proof-of-concept calculation, we use one ensemble of $N_f=2+1+1$ twisted mass fermions and a clover improvement with a pion mass of 260 MeV to calculate the proton unpolarized GPDs. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2212.09818v1-abstract-full').style.display = 'none'; document.getElementById('2212.09818v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 5 figures, contribution to the 39th International Symposium on Lattice Field Theory, Lattice 2022, Bonn, Germany</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2211.17009">arXiv:2211.17009</a> <span> [<a href="https://arxiv.org/pdf/2211.17009">pdf</a>, <a href="https://arxiv.org/format/2211.17009">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Progress in calculation of the fourth Mellin moment of the pion light-cone distribution amplitude using the HOPE method </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&query=Grebe%2C+A+V">Anthony V. Grebe</a>, <a href="/search/hep-lat?searchtype=author&query=Kanamori%2C+I">Issaku Kanamori</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=Perry%2C+R+J">Robert J. Perry</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2211.17009v1-abstract-short" style="display: inline;"> The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for the calculation of high-energy exclusive processes in quantum chromodynamics. This article describes the progress in the lattice QCD calculation of the fourth Mellin moment of the pion LCDA using a heavy-quark operator product expansion (HOPE). </span> <span class="abstract-full has-text-grey-dark mathjax" id="2211.17009v1-abstract-full" style="display: none;"> The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for the calculation of high-energy exclusive processes in quantum chromodynamics. This article describes the progress in the lattice QCD calculation of the fourth Mellin moment of the pion LCDA using a heavy-quark operator product expansion (HOPE). <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2211.17009v1-abstract-full').style.display = 'none'; document.getElementById('2211.17009v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 30 November, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">10 pages, 3 figures, contribution to the proceedings of the 39th International Symposium on Lattice Field Theory (LATTICE2022), 8th-13th August 2022, Bonn, Germany</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5501 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2209.12750">arXiv:2209.12750</a> <span> [<a href="https://arxiv.org/pdf/2209.12750">pdf</a>, <a href="https://arxiv.org/format/2209.12750">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Strongly Correlated Electrons">cond-mat.str-el</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/10.21468/SciPostPhysCore.6.4.076">10.21468/SciPostPhysCore.6.4.076 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Characteristic Properties of a Composite System of Topological Phases Separated by Gapped Domain Walls via an Exactly Solvable Hamiltonian Model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yu Zhao</a>, <a href="/search/hep-lat?searchtype=author&query=Huang%2C+S">Shan Huang</a>, <a href="/search/hep-lat?searchtype=author&query=Wang%2C+H">Hongyu Wang</a>, <a href="/search/hep-lat?searchtype=author&query=Hu%2C+Y">Yuting Hu</a>, <a href="/search/hep-lat?searchtype=author&query=Wan%2C+Y">Yidun Wan</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="2209.12750v2-abstract-short" style="display: inline;"> In this paper, we construct an exactly solvable lattice Hamiltonian model to investigate the properties of a composite system consisting of multiple topological orders separated by gapped domain walls. There are interdomain elementary excitations labeled by a pair of anyons in different domains of this system; This system also has elementary excitations with quasiparticles in the gapped domain wal… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2209.12750v2-abstract-full').style.display = 'inline'; document.getElementById('2209.12750v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2209.12750v2-abstract-full" style="display: none;"> In this paper, we construct an exactly solvable lattice Hamiltonian model to investigate the properties of a composite system consisting of multiple topological orders separated by gapped domain walls. There are interdomain elementary excitations labeled by a pair of anyons in different domains of this system; This system also has elementary excitations with quasiparticles in the gapped domain wall. Each set of elementary excitations corresponds to a basis of the ground states of this composite system on the torus, reflecting that the ground-state degeneracy matches the number of either set of elementary excitations. The characteristic properties of this composite system lie in the basis transformations, represented by the $S$ and $T$ matrices: The $S$ matrix encodes the mutual statistics between interdomain excitations and domain-wall quasiparticles, and the $T$ matrix encapsulates the topological spins of interdomain excitations. Our model realizes a spatial counterpart of a temporal phase transition triggered by anyon condensation, bringing the abstract theory of anyon condensation into manifestable spatial interdomain excitation states. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2209.12750v2-abstract-full').style.display = 'none'; document.getElementById('2209.12750v2-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 June, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 26 September, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 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">39 pages, 16 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> SciPost Physics Core 6.4 (2023): 076 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2209.08464">arXiv:2209.08464</a> <span> [<a href="https://arxiv.org/pdf/2209.08464">pdf</a>, <a href="https://arxiv.org/ps/2209.08464">ps</a>, <a href="https://arxiv.org/format/2209.08464">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 class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1007/JHEP12(2022)033">10.1007/JHEP12(2022)033 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Partial wave analysis of the charmed baryon hadronic decay $螞_c^+\to螞蟺^+蟺^0$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=BESIII+Collaboration"> BESIII Collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Ablikim%2C+M">M. Ablikim</a>, <a href="/search/hep-lat?searchtype=author&query=Achasov%2C+M+N">M. N. Achasov</a>, <a href="/search/hep-lat?searchtype=author&query=Adlarson%2C+P">P. Adlarson</a>, <a href="/search/hep-lat?searchtype=author&query=Albrecht%2C+M">M. Albrecht</a>, <a href="/search/hep-lat?searchtype=author&query=Aliberti%2C+R">R. Aliberti</a>, <a href="/search/hep-lat?searchtype=author&query=Amoroso%2C+A">A. Amoroso</a>, <a href="/search/hep-lat?searchtype=author&query=An%2C+M+R">M. R. An</a>, <a href="/search/hep-lat?searchtype=author&query=An%2C+Q">Q. An</a>, <a href="/search/hep-lat?searchtype=author&query=Bai%2C+X+H">X. H. Bai</a>, <a href="/search/hep-lat?searchtype=author&query=Bai%2C+Y">Y. Bai</a>, <a href="/search/hep-lat?searchtype=author&query=Bakina%2C+O">O. Bakina</a>, <a href="/search/hep-lat?searchtype=author&query=Ferroli%2C+R+B">R. Baldini Ferroli</a>, <a href="/search/hep-lat?searchtype=author&query=Balossino%2C+I">I. Balossino</a>, <a href="/search/hep-lat?searchtype=author&query=Ban%2C+Y">Y. Ban</a>, <a href="/search/hep-lat?searchtype=author&query=Batozskaya%2C+V">V. Batozskaya</a>, <a href="/search/hep-lat?searchtype=author&query=Becker%2C+D">D. Becker</a>, <a href="/search/hep-lat?searchtype=author&query=Begzsuren%2C+K">K. Begzsuren</a>, <a href="/search/hep-lat?searchtype=author&query=Berger%2C+N">N. Berger</a>, <a href="/search/hep-lat?searchtype=author&query=Bertani%2C+M">M. Bertani</a>, <a href="/search/hep-lat?searchtype=author&query=Bettoni%2C+D">D. Bettoni</a>, <a href="/search/hep-lat?searchtype=author&query=Bianchi%2C+F">F. Bianchi</a>, <a href="/search/hep-lat?searchtype=author&query=Bloms%2C+J">J. Bloms</a>, <a href="/search/hep-lat?searchtype=author&query=Bortone%2C+A">A. Bortone</a>, <a href="/search/hep-lat?searchtype=author&query=Boyko%2C+I">I. Boyko</a> , et al. (555 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="2209.08464v3-abstract-short" style="display: inline;"> Based on $e^+e^-$ collision samples corresponding to an integrated luminosity of 4.4 $\mbox{fb$^{-1}$}$ collected with the BESIII detector at center-of-mass energies between $4.6\,\,\mathrm{GeV}$ and $4.7\,\,\mathrm{GeV}$, a partial wave analysis of the charmed baryon hadronic decay $螞_c^+\to螞蟺^+蟺^0$ is performed, and the decays $螞_c^+\to螞蟻(770)^{+}$ and $螞_c^+\to危(1385)蟺$ are studied for the firs… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2209.08464v3-abstract-full').style.display = 'inline'; document.getElementById('2209.08464v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2209.08464v3-abstract-full" style="display: none;"> Based on $e^+e^-$ collision samples corresponding to an integrated luminosity of 4.4 $\mbox{fb$^{-1}$}$ collected with the BESIII detector at center-of-mass energies between $4.6\,\,\mathrm{GeV}$ and $4.7\,\,\mathrm{GeV}$, a partial wave analysis of the charmed baryon hadronic decay $螞_c^+\to螞蟺^+蟺^0$ is performed, and the decays $螞_c^+\to螞蟻(770)^{+}$ and $螞_c^+\to危(1385)蟺$ are studied for the first time. Making use of the world-average branching fraction $\mathcal{B}(螞_c^+\to螞蟺^+蟺^0)$, their branching fractions are determined to be \begin{eqnarray*} \begin{aligned} \mathcal{B}(螞_c^+\to螞蟻(770)^+)=&(4.06\pm0.30\pm0.35\pm0.23)\times10^{-2},\\ \mathcal{B}(螞_c^+\to危(1385)^+蟺^0)=&(5.86\pm0.49\pm0.52\pm0.35)\times10^{-3},\\ \mathcal{B}(螞_c^+\to危(1385)^0蟺^+)=&(6.47\pm0.59\pm0.66\pm0.38)\times10^{-3},\\ \end{aligned} \end{eqnarray*} where the first uncertainties are statistical, the second are systematic, and the third are from the uncertainties of the branching fractions $\mathcal{B}(螞_c^+\to螞蟺^+蟺^0)$ and $\mathcal{B}(危(1385)\to螞蟺)$. In addition, %according to amplitudes determined from the partial wave analysis, the decay asymmetry parameters are measured to be $伪_{螞蟻(770)^+}=-0.763\pm0.053\pm0.045$, $伪_{危(1385)^{+}蟺^0}=-0.917\pm0.069\pm0.056$, and $伪_{危(1385)^{0}蟺^+}=-0.789\pm0.098\pm0.056$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2209.08464v3-abstract-full').style.display = 'none'; document.getElementById('2209.08464v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 13 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 17 September, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2022. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2209.05373">arXiv:2209.05373</a> <span> [<a href="https://arxiv.org/pdf/2209.05373">pdf</a>, <a href="https://arxiv.org/format/2209.05373">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.106.114512">10.1103/PhysRevD.106.114512 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+S">Shohini Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Cichy%2C+K">Krzysztof Cichy</a>, <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&query=Dodson%2C+J">Jack Dodson</a>, <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Scapellato%2C+A">Aurora Scapellato</a>, <a href="/search/hep-lat?searchtype=author&query=Steffens%2C+F">Fernanda Steffens</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2209.05373v2-abstract-short" style="display: inline;"> Traditionally, lattice QCD computations of generalized parton distributions (GPDs) have been carried out in a symmetric frame, where the transferred momentum is symmetrically distributed between the incoming and outgoing hadrons. However, such frames are inconvenient since they require a separate calculation for each value of the momentum transfer, increasing significantly the computational cost.… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2209.05373v2-abstract-full').style.display = 'inline'; document.getElementById('2209.05373v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2209.05373v2-abstract-full" style="display: none;"> Traditionally, lattice QCD computations of generalized parton distributions (GPDs) have been carried out in a symmetric frame, where the transferred momentum is symmetrically distributed between the incoming and outgoing hadrons. However, such frames are inconvenient since they require a separate calculation for each value of the momentum transfer, increasing significantly the computational cost. In this work, by focusing on the quasi-distribution approach, we lay the foundation for faster and more effective lattice QCD calculations of GPDs exploiting asymmetric frames, with freedom in the transferred momentum distribution. An important ingredient of our approach is the Lorentz covariant parameterization of the matrix elements in terms of Lorentz-invariant amplitudes, which allows one to relate matrix elements in different frames. We also use this amplitude approach to propose a new definition of quasi-GPDs that is frame-independent and, more importantly, may lead to smaller power corrections in the matching relations to the light-cone GPDs. We demonstrate the efficacy of the formalism through numerical calculations using one ensemble of $N_f$=2+1+1 twisted mass fermions with a clover improvement. The value of the light-quark masses lead to a pion mass of about 260 MeV. Concentrating on the proton, and limiting ourselves to a vanishing longitudinal momentum transfer to the target, we extract the invariant amplitudes from matrix element calculations in both the symmetric and asymmetric frame, and obtain results for the twist-2 light-cone GPDs for unpolarized quarks, that is, $H$ and $E$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2209.05373v2-abstract-full').style.display = 'none'; document.getElementById('2209.05373v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 9 January, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 12 September, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 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">39 pages, 19 figures, matches with published version</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2208.03834">arXiv:2208.03834</a> <span> [<a href="https://arxiv.org/pdf/2208.03834">pdf</a>, <a href="https://arxiv.org/format/2208.03834">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/PhysRevLett.130.191901">10.1103/PhysRevLett.130.191901 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Lattice QCD calculation of $蟺^0\rightarrow e^+ e^-$ decay </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N">Norman Christ</a>, <a href="/search/hep-lat?searchtype=author&query=Feng%2C+X">Xu Feng</a>, <a href="/search/hep-lat?searchtype=author&query=Jin%2C+L">Luchang Jin</a>, <a href="/search/hep-lat?searchtype=author&query=Tu%2C+C">Cheng Tu</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yidi Zhao</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="2208.03834v2-abstract-short" style="display: inline;"> We extend the application of lattice QCD to the two-photon-mediated, order $伪^2$ rare decay $蟺^0\rightarrow e^+ e^-$. By combining Minkowski- and Euclidean-space methods we are able to calculate the complex amplitude describing this decay directly from the underlying theories (QCD and QED) which predict this decay. The leading connected and disconnected diagrams are considered; a continuum limit i… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2208.03834v2-abstract-full').style.display = 'inline'; document.getElementById('2208.03834v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2208.03834v2-abstract-full" style="display: none;"> We extend the application of lattice QCD to the two-photon-mediated, order $伪^2$ rare decay $蟺^0\rightarrow e^+ e^-$. By combining Minkowski- and Euclidean-space methods we are able to calculate the complex amplitude describing this decay directly from the underlying theories (QCD and QED) which predict this decay. The leading connected and disconnected diagrams are considered; a continuum limit is evaluated and the systematic errors are estimated. We find $\mathrm{Re} \mathcal{A} = 18.60(1.19)(1.04)\,$eV, $\mathrm{Im} \mathcal{A} = 32.59(1.50)(1.65)\,$eV, a more accurate value for the ratio $\frac{\mathrm{Re} \mathcal{A}}{\mathrm{Im} \mathcal{A}}=0.571(10)(4)$ and a result for the partial width $螕(蟺^0\to纬纬) = 6.60(0.61)(0.67)\,$eV. Here the first errors are statistical and the second systematic. This calculation is the first step in determining the more challenging, two-photon-mediated decay amplitude that contributes to the rare decay $K\to渭^+渭^-$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2208.03834v2-abstract-full').style.display = 'none'; document.getElementById('2208.03834v2-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 August, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 7 August, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2022. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2208.02297">arXiv:2208.02297</a> <span> [<a href="https://arxiv.org/pdf/2208.02297">pdf</a>, <a href="https://arxiv.org/format/2208.02297">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.106.114510">10.1103/PhysRevD.106.114510 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Hanlon%2C+A+D">Andrew D. Hanlon</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Scior%2C+P">Philipp Scior</a>, <a href="/search/hep-lat?searchtype=author&query=Shi%2C+S">Shuzhe Shi</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a>, <a href="/search/hep-lat?searchtype=author&query=Zhou%2C+K">Kai Zhou</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="2208.02297v2-abstract-short" style="display: inline;"> We present lattice QCD calculations of valence parton distribution function (PDF) of pion employing next-to-next-leading-order (NNLO) perturbative QCD matching. Our calculations are based on three gauge ensembles of 2+1 flavor highly improved staggered quarks and Wilson--Clover valance quarks, corresponding to pion mass $m_蟺=140$~MeV at a lattice spacing $a=0.076$~fm and $m_蟺=300$~MeV at… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2208.02297v2-abstract-full').style.display = 'inline'; document.getElementById('2208.02297v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2208.02297v2-abstract-full" style="display: none;"> We present lattice QCD calculations of valence parton distribution function (PDF) of pion employing next-to-next-leading-order (NNLO) perturbative QCD matching. Our calculations are based on three gauge ensembles of 2+1 flavor highly improved staggered quarks and Wilson--Clover valance quarks, corresponding to pion mass $m_蟺=140$~MeV at a lattice spacing $a=0.076$~fm and $m_蟺=300$~MeV at $a=0.04, 0.06$~fm. This enables us to present, for the first time, continuum-extrapolated lattice QCD results for NNLO valence PDF of the pion at the physical point. Applying leading-twist expansion for renormalization group invariant (RGI) ratios of bi-local pion matrix elements with NNLO Wilson coefficients we extract $2^{\mathrm{nd}}$, $4^{\mathrm{th}}$ and $6^{\mathrm{th}}$ Mellin moments of the PDF. We reconstruct the Bjorken-$x$ dependence of the NNLO PDF from real-space RGI ratios using a deep neural network (DNN) as well as from momentum-space matrix elements renormalized using a hybrid-scheme. All our results are in broad agreement with the results of global fits to the experimental data carried out by the xFitter and JAM collaborations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2208.02297v2-abstract-full').style.display = 'none'; document.getElementById('2208.02297v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 27 December, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 3 August, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 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">25 pages, 29 figures, version published in PRD</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2207.07641">arXiv:2207.07641</a> <span> [<a href="https://arxiv.org/pdf/2207.07641">pdf</a>, <a href="https://arxiv.org/format/2207.07641">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"> Lattice QCD and Particle Physics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Kronfeld%2C+A+S">Andreas S. Kronfeld</a>, <a href="/search/hep-lat?searchtype=author&query=Bhattacharya%2C+T">Tanmoy Bhattacharya</a>, <a href="/search/hep-lat?searchtype=author&query=Blum%2C+T">Thomas Blum</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N+H">Norman H. Christ</a>, <a href="/search/hep-lat?searchtype=author&query=DeTar%2C+C">Carleton DeTar</a>, <a href="/search/hep-lat?searchtype=author&query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&query=Edwards%2C+R">Robert Edwards</a>, <a href="/search/hep-lat?searchtype=author&query=Hasenfratz%2C+A">Anna Hasenfratz</a>, <a href="/search/hep-lat?searchtype=author&query=Lin%2C+H">Huey-Wen Lin</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Orginos%2C+K">Konstantinos Orginos</a>, <a href="/search/hep-lat?searchtype=author&query=Brower%2C+R">Richard Brower</a>, <a href="/search/hep-lat?searchtype=author&query=Cirigliano%2C+V">Vincenzo Cirigliano</a>, <a href="/search/hep-lat?searchtype=author&query=Davoudi%2C+Z">Zohreh Davoudi</a>, <a href="/search/hep-lat?searchtype=author&query=J%C3%B3o%2C+B">B谩lint J贸o</a>, <a href="/search/hep-lat?searchtype=author&query=Jung%2C+C">Chulwoo Jung</a>, <a href="/search/hep-lat?searchtype=author&query=Lehner%2C+C">Christoph Lehner</a>, <a href="/search/hep-lat?searchtype=author&query=Meinel%2C+S">Stefan Meinel</a>, <a href="/search/hep-lat?searchtype=author&query=Neil%2C+E+T">Ethan T. Neil</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</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=Bazavov%2C+A">Alexei Bazavov</a>, <a href="/search/hep-lat?searchtype=author&query=Catterall%2C+S">Simon Catterall</a>, <a href="/search/hep-lat?searchtype=author&query=Dudek%2C+J+J">Jozef J. Dudek</a>, <a href="/search/hep-lat?searchtype=author&query=El-Khadra%2C+A+X">Aida X. El-Khadra</a> , et al. (57 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2207.07641v2-abstract-short" style="display: inline;"> Contribution from the USQCD Collaboration to the Proceedings of the US Community Study on the Future of Particle Physics (Snowmass 2021). </span> <span class="abstract-full has-text-grey-dark mathjax" id="2207.07641v2-abstract-full" style="display: none;"> Contribution from the USQCD Collaboration to the Proceedings of the US Community Study on the Future of Particle Physics (Snowmass 2021). <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2207.07641v2-abstract-full').style.display = 'none'; document.getElementById('2207.07641v2-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 October, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 15 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">27 pp. main text, 4 pp. appendices, 29 pp. references, 1 p. index</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> FERMILAB-CONF-22-531-T </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2206.04084">arXiv:2206.04084</a> <span> [<a href="https://arxiv.org/pdf/2206.04084">pdf</a>, <a href="https://arxiv.org/format/2206.04084">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.106.074505">10.1103/PhysRevD.106.074505 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Pion distribution amplitude at the physical point using the leading-twist expansion of the quasi-distribution-amplitude matrix element </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Hanlon%2C+A+D">Andrew D. Hanlon</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Scior%2C+P">Philipp Scior</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2206.04084v2-abstract-short" style="display: inline;"> We present a lattice QCD determination of the distribution amplitude (DA) of the pion and the first few Mellin moments from an analysis of the quasi-DA matrix element within the leading-twist framework. We perform our study on a HISQ ensemble with $a=0.076$ fm lattice spacing with the Wilson-Clover valence quark mass tuned to the physical point. We analyze the ratios of pion quasi-DA matrix elemen… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.04084v2-abstract-full').style.display = 'inline'; document.getElementById('2206.04084v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2206.04084v2-abstract-full" style="display: none;"> We present a lattice QCD determination of the distribution amplitude (DA) of the pion and the first few Mellin moments from an analysis of the quasi-DA matrix element within the leading-twist framework. We perform our study on a HISQ ensemble with $a=0.076$ fm lattice spacing with the Wilson-Clover valence quark mass tuned to the physical point. We analyze the ratios of pion quasi-DA matrix elements at short distances using the leading-twist Mellin operator product expansion (OPE) at the next-to-leading order and the conformal OPE at the leading-logarithmic order. We find a robust result for the first non-vanishing Mellin moment $\langle x^2 \rangle = 0.287(6)(6)$ at a factorization scale $渭=2$ GeV. We also present different Ans盲tze-based reconstructions of the $x$-dependent DA, from which we determine the perturbative leading-twist expectations for the pion electromagnetic and gravitational form-factors at large momentum transfers. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.04084v2-abstract-full').style.display = 'none'; document.getElementById('2206.04084v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 October, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 8 June, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">26 pages, 13 figures; published version</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-22-3626 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 106, 074505 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2205.12369">arXiv:2205.12369</a> <span> [<a href="https://arxiv.org/pdf/2205.12369">pdf</a>, <a href="https://arxiv.org/format/2205.12369">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> </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(2022)084">10.1007/JHEP08(2022)084 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> One-loop matching for gluon lattice TMDs </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Schindler%2C+S+T">Stella T. Schindler</a>, <a href="/search/hep-lat?searchtype=author&query=Stewart%2C+I+W">Iain W. Stewart</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2205.12369v2-abstract-short" style="display: inline;"> Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the leading-power factorization formula connecting the lattice quasi-TMD and continuum Collins TMD for gluons. We calculate the one-loop gluon matching coefficient, which i… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2205.12369v2-abstract-full').style.display = 'inline'; document.getElementById('2205.12369v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2205.12369v2-abstract-full" style="display: none;"> Transverse-momentum-dependent parton distributions (TMDs) can be calculated from first principles by computing a related set of Euclidean lattice observables and connecting them via a factorization formula. This work focuses on the leading-power factorization formula connecting the lattice quasi-TMD and continuum Collins TMD for gluons. We calculate the one-loop gluon matching coefficient, which is known to be independent of spin and exhibits no mixing with quarks. We demonstrate that this coefficient satisfies Casimir scaling with respect to the quark matching coefficient at one-loop order. Our result facilitates reliable lattice QCD calculations of gluon TMDs. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2205.12369v2-abstract-full').style.display = 'none'; document.getElementById('2205.12369v2-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 September, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 24 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">11 pages, 2 figures, v2: updates to match journal</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP 5427 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> JHEP 08, 084 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2203.09030">arXiv:2203.09030</a> <span> [<a href="https://arxiv.org/pdf/2203.09030">pdf</a>, <a href="https://arxiv.org/format/2203.09030">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> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Computational Physics">physics.comp-ph</span> </div> </div> <p class="title is-5 mathjax"> Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Ruso%2C+L+A">L. Alvarez Ruso</a>, <a href="/search/hep-lat?searchtype=author&query=Ankowski%2C+A+M">A. M. Ankowski</a>, <a href="/search/hep-lat?searchtype=author&query=Bacca%2C+S">S. Bacca</a>, <a href="/search/hep-lat?searchtype=author&query=Balantekin%2C+A+B">A. B. Balantekin</a>, <a href="/search/hep-lat?searchtype=author&query=Carlson%2C+J">J. Carlson</a>, <a href="/search/hep-lat?searchtype=author&query=Gardiner%2C+S">S. Gardiner</a>, <a href="/search/hep-lat?searchtype=author&query=Gonzalez-Jimenez%2C+R">R. Gonzalez-Jimenez</a>, <a href="/search/hep-lat?searchtype=author&query=Gupta%2C+R">R. Gupta</a>, <a href="/search/hep-lat?searchtype=author&query=Hobbs%2C+T+J">T. J. Hobbs</a>, <a href="/search/hep-lat?searchtype=author&query=Hoferichter%2C+M">M. Hoferichter</a>, <a href="/search/hep-lat?searchtype=author&query=Isaacson%2C+J">J. Isaacson</a>, <a href="/search/hep-lat?searchtype=author&query=Jachowicz%2C+N">N. Jachowicz</a>, <a href="/search/hep-lat?searchtype=author&query=Jay%2C+W+I">W. I. Jay</a>, <a href="/search/hep-lat?searchtype=author&query=Katori%2C+T">T. Katori</a>, <a href="/search/hep-lat?searchtype=author&query=Kling%2C+F">F. Kling</a>, <a href="/search/hep-lat?searchtype=author&query=Kronfeld%2C+A+S">A. S. Kronfeld</a>, <a href="/search/hep-lat?searchtype=author&query=Li%2C+S+W">S. W. Li</a>, <a href="/search/hep-lat?searchtype=author&query=Lin%2C+H+-">H. -W. Lin</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+K+-">K. -F. Liu</a>, <a href="/search/hep-lat?searchtype=author&query=Lovato%2C+A">A. Lovato</a>, <a href="/search/hep-lat?searchtype=author&query=Mahn%2C+K">K. Mahn</a>, <a href="/search/hep-lat?searchtype=author&query=Menendez%2C+J">J. Menendez</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=Morfin%2C+J">J. Morfin</a>, <a href="/search/hep-lat?searchtype=author&query=Pastore%2C+S">S. Pastore</a> , et al. (36 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2203.09030v2-abstract-short" style="display: inline;"> Maximizing the discovery potential of increasingly precise neutrino experiments will require an improved theoretical understanding of neutrino-nucleus cross sections over a wide range of energies. Low-energy interactions are needed to reconstruct the energies of astrophysical neutrinos from supernovae bursts and search for new physics using increasingly precise measurement of coherent elastic neut… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2203.09030v2-abstract-full').style.display = 'inline'; document.getElementById('2203.09030v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2203.09030v2-abstract-full" style="display: none;"> Maximizing the discovery potential of increasingly precise neutrino experiments will require an improved theoretical understanding of neutrino-nucleus cross sections over a wide range of energies. Low-energy interactions are needed to reconstruct the energies of astrophysical neutrinos from supernovae bursts and search for new physics using increasingly precise measurement of coherent elastic neutrino scattering. Higher-energy interactions involve a variety of reaction mechanisms including quasi-elastic scattering, resonance production, and deep inelastic scattering that must all be included to reliably predict cross sections for energies relevant to DUNE and other accelerator neutrino experiments. This white paper discusses the theoretical status, challenges, required resources, and path forward for achieving precise predictions of neutrino-nucleus scattering and emphasizes the need for a coordinated theoretical effort involved lattice QCD, nuclear effective theories, phenomenological models of the transition region, and event generators. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2203.09030v2-abstract-full').style.display = 'none'; document.getElementById('2203.09030v2-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, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 16 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">81 pages, contribution to Snowmass 2021</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> DESY-22-05, FERMILAB-FN-1161-T, MITP-22-027 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2202.07193">arXiv:2202.07193</a> <span> [<a href="https://arxiv.org/pdf/2202.07193">pdf</a>, <a href="https://arxiv.org/ps/2202.07193">ps</a>, <a href="https://arxiv.org/format/2202.07193">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> </div> </div> <p class="title is-5 mathjax"> Lattice QCD Calculations of Parton Physics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Constantinou%2C+M">Martha Constantinou</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=Ji%2C+X">Xiangdong Ji</a>, <a href="/search/hep-lat?searchtype=author&query=Lin%2C+H">Huey-Wen Lin</a>, <a href="/search/hep-lat?searchtype=author&query=Liu%2C+K">Keh-Fei Liu</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=Petreczky%2C+P">Peter Petreczky</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">David Richards</a>, <a href="/search/hep-lat?searchtype=author&query=Sato%2C+N">Nobuo Sato</a>, <a href="/search/hep-lat?searchtype=author&query=Shanahan%2C+P">Phiala Shanahan</a>, <a href="/search/hep-lat?searchtype=author&query=Yuan%2C+C+-">C. -P. Yuan</a>, <a href="/search/hep-lat?searchtype=author&query=Zhang%2C+J">Jian-Hui Zhang</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2202.07193v1-abstract-short" style="display: inline;"> In this document, we summarize the status and challenges of calculating parton physics in lattice QCD for the US Particle Physics Community Planning Exercise (a.k.a. "Snowmass"). While PDF-moments calculations have been very successful and been continuously improved, new methods have been developed to calculate distributions directly in $x$-space. Many recent lattice studies have been focused on c… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.07193v1-abstract-full').style.display = 'inline'; document.getElementById('2202.07193v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2202.07193v1-abstract-full" style="display: none;"> In this document, we summarize the status and challenges of calculating parton physics in lattice QCD for the US Particle Physics Community Planning Exercise (a.k.a. "Snowmass"). While PDF-moments calculations have been very successful and been continuously improved, new methods have been developed to calculate distributions directly in $x$-space. Many recent lattice studies have been focused on calculating isovector PDFs of the pion and nucleon, learning to control systematics associated with excited-state contamination, renormalization and continuum extrapolations, pion-mass and finite-volume effects, etc. Although in some cases, the lattice results are already competitive with experimental data, to reach the level of precision in a wide range of $x$ for unpolarized nucleon PDFs impactful for future collider physics remains a challenge, and may require exascale supercomputing power. The new theoretical methods open the door for calculating other partonic observables which will be the focus of the experimental program in nuclear physics, including generalized parton distributions and transverse-momentum dependent PDFs. A fruitful interplay between experimental data and lattice-QCD calculations will usher in a new era for parton physics and hadron structure. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2202.07193v1-abstract-full').style.display = 'none'; document.getElementById('2202.07193v1-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 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">14 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-22-3564,MIT-CTP/5408,MSUHEP-22-004 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2201.08401">arXiv:2201.08401</a> <span> [<a href="https://arxiv.org/pdf/2201.08401">pdf</a>, <a href="https://arxiv.org/format/2201.08401">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> </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/JHEP04(2022)178">10.1007/JHEP04(2022)178 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Factorization connecting continuum and lattice TMDs </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Ebert%2C+M+A">Markus A. Ebert</a>, <a href="/search/hep-lat?searchtype=author&query=Schindler%2C+S+T">Stella T. Schindler</a>, <a href="/search/hep-lat?searchtype=author&query=Stewart%2C+I+W">Iain W. Stewart</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2201.08401v1-abstract-short" style="display: inline;"> Transverse-momentum-dependent parton distribution functions (TMDs) can be studied from first principles by a perturbative matching onto lattice-calculable quantities: so-called lattice TMDs, which are a class of equal-time correlators that includes quasi-TMDs and TMDs in the Lorentz-invariant approach. We introduce a general correlator that includes as special cases these two Lattice TMDs and cont… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.08401v1-abstract-full').style.display = 'inline'; document.getElementById('2201.08401v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.08401v1-abstract-full" style="display: none;"> Transverse-momentum-dependent parton distribution functions (TMDs) can be studied from first principles by a perturbative matching onto lattice-calculable quantities: so-called lattice TMDs, which are a class of equal-time correlators that includes quasi-TMDs and TMDs in the Lorentz-invariant approach. We introduce a general correlator that includes as special cases these two Lattice TMDs and continuum TMDs, like the Collins scheme. Then, to facilitate the derivation of a factorization relation between lattice and continuum TMDs, we construct a new scheme, the Large Rapidity (LR) scheme, intermediate between the Collins and quasi-TMDs. The LR and Collins schemes differ only by an order of limits, and can be matched onto one another by a multiplicative kernel. We show that this same matching also holds between quasi and Collins TMDs, which enables us to prove a factorization relation between these quantities to all orders in $伪_s$. Our results imply that there is no mixing between various quark flavors or gluons when matching Collins and quasi TMDs, making the lattice calculation of individual flavors and gluon TMDs easier than anticipated. We cross-check these results explicitly at one loop and discuss implications for other physical-to-lattice scheme factorizations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.08401v1-abstract-full').style.display = 'none'; document.getElementById('2201.08401v1-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, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">33 pages + appendices, 6 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP 5281, MPP-2021-17 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2112.02208">arXiv:2112.02208</a> <span> [<a href="https://arxiv.org/pdf/2112.02208">pdf</a>, <a href="https://arxiv.org/format/2112.02208">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/PhysRevLett.128.142003">10.1103/PhysRevLett.128.142003 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Hanlon%2C+A+D">Andrew D. Hanlon</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Scior%2C+P">Philipp Scior</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2112.02208v2-abstract-short" style="display: inline;"> We report the first lattice QCD calculation of pion valence quark distribution with next-to-next-to-leading order perturbative matching correction, which is done using two fine lattices with spacings $a=0.04$ fm and $0.06$ fm and valence pion mass $m_蟺=300$ MeV, at boost momentum as large as $2.42$ GeV. As a crucial step to control the systematics, we renormalize the pion valence quasi distributio… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.02208v2-abstract-full').style.display = 'inline'; document.getElementById('2112.02208v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2112.02208v2-abstract-full" style="display: none;"> We report the first lattice QCD calculation of pion valence quark distribution with next-to-next-to-leading order perturbative matching correction, which is done using two fine lattices with spacings $a=0.04$ fm and $0.06$ fm and valence pion mass $m_蟺=300$ MeV, at boost momentum as large as $2.42$ GeV. As a crucial step to control the systematics, we renormalize the pion valence quasi distribution in the recently proposed hybrid scheme, which features a Wilson-line mass subtraction at large distances in coordinate space, and develop a procedure to match it to the $\overline{\rm MS}$ scheme. We demonstrate that the renormalization and the perturbative matching in Bjorken-$x$ space yield a reliable determination of the valence quark distribution for $0.03\lesssim x \lesssim 0.80$ with 5-20\% uncertainties. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2112.02208v2-abstract-full').style.display = 'none'; document.getElementById('2112.02208v2-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 April, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 3 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">4 pages, 4 figures and appendix</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. Lett. 128, 142003 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2111.14563">arXiv:2111.14563</a> <span> [<a href="https://arxiv.org/pdf/2111.14563">pdf</a>, <a href="https://arxiv.org/format/2111.14563">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Progress in the determination of Mellin moments of the pion LCDA using the HOPE method </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&query=Grebe%2C+A+V">Anthony V. Grebe</a>, <a href="/search/hep-lat?searchtype=author&query=Kanamori%2C+I">Issaku Kanamori</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=Mondal%2C+S">Santanu Mondal</a>, <a href="/search/hep-lat?searchtype=author&query=Perry%2C+R+J">Robert J. Perry</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2111.14563v1-abstract-short" style="display: inline;"> The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for the calculation of high-energy exclusive processes in quantum chromodynamics. In this article, we discuss the calculation of the second and fourth Mellin moment of the pion LCDA using a heavy-quark operator product expansion. The resulting value for the second Mellin moment is… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.14563v1-abstract-full').style.display = 'inline'; document.getElementById('2111.14563v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2111.14563v1-abstract-full" style="display: none;"> The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for the calculation of high-energy exclusive processes in quantum chromodynamics. In this article, we discuss the calculation of the second and fourth Mellin moment of the pion LCDA using a heavy-quark operator product expansion. The resulting value for the second Mellin moment is $ \langle{ 尉^2 }\rangle(渭= 2~\text{GeV})= 0.210 \pm 0.013\text{ (stat.)} \pm 0.034\text{ (sys.)}$. This result is compatible with those from previous determinations of this quantity. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2111.14563v1-abstract-full').style.display = 'none'; document.getElementById('2111.14563v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 November, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> November 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">17 pages, 8 Figures, 3 Tables; Talk presented at The 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5369 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2109.15241">arXiv:2109.15241</a> <span> [<a href="https://arxiv.org/pdf/2109.15241">pdf</a>, <a href="https://arxiv.org/format/2109.15241">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.105.034506">10.1103/PhysRevD.105.034506 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&query=Grebe%2C+A">Anthony Grebe</a>, <a href="/search/hep-lat?searchtype=author&query=Kanamori%2C+I">Issaku Kanamori</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=Mondal%2C+S">Santanu Mondal</a>, <a href="/search/hep-lat?searchtype=author&query=Perry%2C+R">Robert Perry</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2109.15241v3-abstract-short" style="display: inline;"> The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for high-energy exclusive processes in quantum chromodynamics. In this article, the second Mellin moment of the pion LCDA is determined as a proof-of-concept calculation for the first numerical implementation of the heavy-quark operator product expansion (HOPE) method. The resulting value for the sec… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2109.15241v3-abstract-full').style.display = 'inline'; document.getElementById('2109.15241v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2109.15241v3-abstract-full" style="display: none;"> The pion light-cone distribution amplitude (LCDA) is a central non-perturbative object of interest for high-energy exclusive processes in quantum chromodynamics. In this article, the second Mellin moment of the pion LCDA is determined as a proof-of-concept calculation for the first numerical implementation of the heavy-quark operator product expansion (HOPE) method. The resulting value for the second Mellin moment, determined in quenched QCD at a pion mass of $m_蟺=550$ MeV at a factorization scale of 2 GeV is $ \langle 尉^2 \rangle = 0.210 \pm 0.013\text{ (stat.)} \pm 0.034\text{ (sys.)}$. This result is compatible with those from previous determinations of this quantity. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2109.15241v3-abstract-full').style.display = 'none'; document.getElementById('2109.15241v3-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 February, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 September, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 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">30 pages, 16 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5330 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 105, 034506 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2108.05486">arXiv:2108.05486</a> <span> [<a href="https://arxiv.org/pdf/2108.05486">pdf</a>, <a href="https://arxiv.org/format/2108.05486">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"> Gauge-Fixed Fourier Acceleration </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Sheta%2C+A">Ahmed Sheta</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yidi Zhao</a>, <a href="/search/hep-lat?searchtype=author&query=Christ%2C+N+H">Norman H. Christ</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="2108.05486v1-abstract-short" style="display: inline;"> For an asymptotically free theory, a promising strategy for eliminating Critical Slowing Down (CSD) is na茂ve Fourier acceleration. This requires the introduction of gauge-fixing into the action, in order to isolate the asymptotically decoupled Fourier modes. In this article, we present our approach and results from a gauge-fixed Fourier-accelerated hybrid Monte Carlo algorithm, using an action tha… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2108.05486v1-abstract-full').style.display = 'inline'; document.getElementById('2108.05486v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2108.05486v1-abstract-full" style="display: none;"> For an asymptotically free theory, a promising strategy for eliminating Critical Slowing Down (CSD) is na茂ve Fourier acceleration. This requires the introduction of gauge-fixing into the action, in order to isolate the asymptotically decoupled Fourier modes. In this article, we present our approach and results from a gauge-fixed Fourier-accelerated hybrid Monte Carlo algorithm, using an action that softly fixes the gauge links to Landau gauge. We compare the autocorrelation times with those of the pure hybrid Monte Carlo algorithm. We work on a small-volume lattice at weak coupling. We present preliminary results and obstacles from working with periodic boundary conditions, and then we present results from using fixed, equilibrated boundary links to avoid $\mathbb{Z}_3$ and other topological barriers and to anticipate applying a similar acceleration to many small cells in a large, physically-relevant lattice volume. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2108.05486v1-abstract-full').style.display = 'none'; document.getElementById('2108.05486v1-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 11 August, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> August 2021. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2107.11930">arXiv:2107.11930</a> <span> [<a href="https://arxiv.org/pdf/2107.11930">pdf</a>, <a href="https://arxiv.org/format/2107.11930">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.104.114502">10.1103/PhysRevD.104.114502 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Lattice QCD calculation of the Collins-Soper kernel from quasi TMDPDFs </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Shanahan%2C+P">Phiala Shanahan</a>, <a href="/search/hep-lat?searchtype=author&query=Wagman%2C+M">Michael Wagman</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2107.11930v2-abstract-short" style="display: inline;"> This work presents a lattice quantum chromodynamics (QCD) calculation of the nonperturbative Collins-Soper kernel, which describes the rapidity evolution of quark transverse-momentum-dependent parton distribution functions. The kernel is extracted at transverse momentum scales in the range 400 MeV $< q_T < 1.7$ GeV in a calculation with dynamical fermions and quark masses corresponding to a larger… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.11930v2-abstract-full').style.display = 'inline'; document.getElementById('2107.11930v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2107.11930v2-abstract-full" style="display: none;"> This work presents a lattice quantum chromodynamics (QCD) calculation of the nonperturbative Collins-Soper kernel, which describes the rapidity evolution of quark transverse-momentum-dependent parton distribution functions. The kernel is extracted at transverse momentum scales in the range 400 MeV $< q_T < 1.7$ GeV in a calculation with dynamical fermions and quark masses corresponding to a larger-than-physical pion mass, $m_蟺=538(1)$ MeV. It is found that different approaches to extract the Collins-Soper kernel from the same underlying lattice QCD matrix elements yield significantly different results and uncertainty estimates, revealing that power corrections, such as those associated with higher-twist effects, and perturbative matching between quasi and light-cone beam functions, cannot be neglected. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.11930v2-abstract-full').style.display = 'none'; document.getElementById('2107.11930v2-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 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 25 July, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">25 pages</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5316, FERMILAB-PUB-21-326-T </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2104.09131">arXiv:2104.09131</a> <span> [<a href="https://arxiv.org/pdf/2104.09131">pdf</a>, <a href="https://arxiv.org/ps/2104.09131">ps</a>, <a href="https://arxiv.org/format/2104.09131">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 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.104.012006">10.1103/PhysRevD.104.012006 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Study of the decay $D^+\to K^*(892)^+ K_S^0$ in $D^+\to K^+ K_S^0 蟺^0$ </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=BESIII+Collaboration"> BESIII Collaboration</a>, <a href="/search/hep-lat?searchtype=author&query=Ablikim%2C+M">M. Ablikim</a>, <a href="/search/hep-lat?searchtype=author&query=Achasov%2C+M+N">M. N. Achasov</a>, <a href="/search/hep-lat?searchtype=author&query=Adlarson%2C+P">P. Adlarson</a>, <a href="/search/hep-lat?searchtype=author&query=Ahmed%2C+S">S. Ahmed</a>, <a href="/search/hep-lat?searchtype=author&query=Albrecht%2C+M">M. Albrecht</a>, <a href="/search/hep-lat?searchtype=author&query=Aliberti%2C+R">R. Aliberti</a>, <a href="/search/hep-lat?searchtype=author&query=Amoroso%2C+A">A. Amoroso</a>, <a href="/search/hep-lat?searchtype=author&query=An%2C+M+R">M. R. An</a>, <a href="/search/hep-lat?searchtype=author&query=An%2C+Q">Q. An</a>, <a href="/search/hep-lat?searchtype=author&query=Bai%2C+X+H">X. H. Bai</a>, <a href="/search/hep-lat?searchtype=author&query=Bai%2C+Y">Y. Bai</a>, <a href="/search/hep-lat?searchtype=author&query=Bakina%2C+O">O. Bakina</a>, <a href="/search/hep-lat?searchtype=author&query=Ferroli%2C+R+B">R. Baldini Ferroli</a>, <a href="/search/hep-lat?searchtype=author&query=Balossino%2C+I">I. Balossino</a>, <a href="/search/hep-lat?searchtype=author&query=Ban%2C+Y">Y. Ban</a>, <a href="/search/hep-lat?searchtype=author&query=Begzsuren%2C+K">K. Begzsuren</a>, <a href="/search/hep-lat?searchtype=author&query=Berger%2C+N">N. Berger</a>, <a href="/search/hep-lat?searchtype=author&query=Bertani%2C+M">M. Bertani</a>, <a href="/search/hep-lat?searchtype=author&query=Bettoni%2C+D">D. Bettoni</a>, <a href="/search/hep-lat?searchtype=author&query=Bianchi%2C+F">F. Bianchi</a>, <a href="/search/hep-lat?searchtype=author&query=Bloms%2C+J">J. Bloms</a>, <a href="/search/hep-lat?searchtype=author&query=Bortone%2C+A">A. Bortone</a>, <a href="/search/hep-lat?searchtype=author&query=Boyko%2C+I">I. Boyko</a>, <a href="/search/hep-lat?searchtype=author&query=Briere%2C+R+A">R. A. Briere</a> , et al. (492 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2104.09131v3-abstract-short" style="display: inline;"> Based on an $e^{+}e^{-}$ collision data sample corresponding to an integrated luminosity of 2.93 $\mathrm{fb}^{-1}$ collected with the BESIII detector at $\sqrt{s}=3.773 \mathrm{GeV}$, the first amplitude analysis of the singly Cabibbo-suppressed decay $D^{+}\to K^+ K_S^0 蟺^0$ is performed. From the amplitude analysis, the $K^*(892)^+ K_S^0$ component is found to be dominant with a fraction of… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.09131v3-abstract-full').style.display = 'inline'; document.getElementById('2104.09131v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2104.09131v3-abstract-full" style="display: none;"> Based on an $e^{+}e^{-}$ collision data sample corresponding to an integrated luminosity of 2.93 $\mathrm{fb}^{-1}$ collected with the BESIII detector at $\sqrt{s}=3.773 \mathrm{GeV}$, the first amplitude analysis of the singly Cabibbo-suppressed decay $D^{+}\to K^+ K_S^0 蟺^0$ is performed. From the amplitude analysis, the $K^*(892)^+ K_S^0$ component is found to be dominant with a fraction of $(57.1\pm2.6\pm4.2)\%$, where the first uncertainty is statistical and the second systematic. In combination with the absolute branching fraction $\mathcal{B}(D^+\to K^+ K_S^0 蟺^0)$ measured by BESIII, we obtain $\mathcal{B}(D^+\to K^*(892)^+ K_S^0)=(8.69\pm0.40\pm0.64\pm0.51)\times10^{-3}$, where the third uncertainty is due to the branching fraction $\mathcal{B}(D^+\to K^+ K_S^0 蟺^0)$. The precision of this result is significantly improved compared to the previous measurement. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2104.09131v3-abstract-full').style.display = 'none'; document.getElementById('2104.09131v3-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 July, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 19 April, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> April 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">12 pages, 15 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 104, 012006 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2103.09529">arXiv:2103.09529</a> <span> [<a href="https://arxiv.org/pdf/2103.09529">pdf</a>, <a href="https://arxiv.org/format/2103.09529">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.104.074511">10.1103/PhysRevD.104.074511 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&query=Grebe%2C+A+V">Anthony V. Grebe</a>, <a href="/search/hep-lat?searchtype=author&query=Kanamori%2C+I">Issaku Kanamori</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=Perry%2C+R+J">Robert J. Perry</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2103.09529v3-abstract-short" style="display: inline;"> Parton distribution functions (PDFs) and light-cone distribution amplitudes (LCDAs) are central non-perturbative objects of interest in high-energy inelastic and elastic scattering, respectively. As a result, an ab-initio determination of these objects is highly desirable. In this paper we present theoretical details for the calculation of the PDFs and LCDAs using a heavy-quark operator product ex… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2103.09529v3-abstract-full').style.display = 'inline'; document.getElementById('2103.09529v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2103.09529v3-abstract-full" style="display: none;"> Parton distribution functions (PDFs) and light-cone distribution amplitudes (LCDAs) are central non-perturbative objects of interest in high-energy inelastic and elastic scattering, respectively. As a result, an ab-initio determination of these objects is highly desirable. In this paper we present theoretical details for the calculation of the PDFs and LCDAs using a heavy-quark operator product expansion method. This strategy was proposed in a previous paper [Phys. Rev. D 73, 014501 (2006)] for computing higher moments of the PDFs using lattice QCD. Its central feature is the introduction of a fictitious, valence heavy quark. In the current article, we show that the operator product expansion (OPE) of the hadronic matrix element we study can also be expressed as the convolution of a perturbative matching kernel and the corresponding light-cone distribution, which in principle can be inverted to determine the parton momentum fraction dependence. Regarding the extraction of higher moments, this work also provides the one-loop Wilson coefficients in the OPE formulas for the unpolarized PDF, helicity PDF and pseudo-scalar meson LCDAs. Although these Wilson coefficients for the PDFs can be inferred from existing results in the literature, those for the LCDAs are new. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2103.09529v3-abstract-full').style.display = 'none'; document.getElementById('2103.09529v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 19 October, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 17 March, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> March 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">22 pages, 3 figures; Text updated to be consistent with published version</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5294 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 104, 074511 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2102.06047">arXiv:2102.06047</a> <span> [<a href="https://arxiv.org/pdf/2102.06047">pdf</a>, <a href="https://arxiv.org/format/2102.06047">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.104.114515">10.1103/PhysRevD.104.114515 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Pion form factor and charge radius from Lattice QCD at physical point </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2102.06047v3-abstract-short" style="display: inline;"> We present our results on the electromagnetic form factor of pion over a wide range of $Q^2$ using lattice QCD simulations with Wilson-clover valence quarks and HISQ sea quarks. We study the form factor at the physical point with a lattice spacing $a=0.076$ fm. To study the lattice spacing and quark mass effects, we also present results for 300 MeV pion at two different lattice spacings $a=0.04$ a… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2102.06047v3-abstract-full').style.display = 'inline'; document.getElementById('2102.06047v3-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2102.06047v3-abstract-full" style="display: none;"> We present our results on the electromagnetic form factor of pion over a wide range of $Q^2$ using lattice QCD simulations with Wilson-clover valence quarks and HISQ sea quarks. We study the form factor at the physical point with a lattice spacing $a=0.076$ fm. To study the lattice spacing and quark mass effects, we also present results for 300 MeV pion at two different lattice spacings $a=0.04$ and 0.06 fm. The lattice calculations at the physical quark mass appear to agree with the experimental results. Through fits to the form factor, we estimate the charge radius of pion for physical pion mass to be $\langle r_蟺^2 \rangle=0.42(2)~{\rm fm}^2$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2102.06047v3-abstract-full').style.display = 'none'; document.getElementById('2102.06047v3-abstract-short').style.display = 'inline';">△ Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 5 January, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 11 February, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 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">14 pages, 14 figures, revised version accepted by PRD</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys.Rev.D 104 (2021) 11, 114515 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2102.01101">arXiv:2102.01101</a> <span> [<a href="https://arxiv.org/pdf/2102.01101">pdf</a>, <a href="https://arxiv.org/format/2102.01101">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="High Energy Physics - Theory">hep-th</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.103.094504">10.1103/PhysRevD.103.094504 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Origin and Resummation of Threshold Logarithms in the Lattice QCD Calculations of PDFs </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Lee%2C+K">Kyle Lee</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Shugert%2C+C">Charles Shugert</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2102.01101v2-abstract-short" style="display: inline;"> Many present lattice QCD approaches to calculate the parton distribution functions (PDFs) rely on a factorization formula or effective theory expansion of certain Euclidean matrix elements in boosted hadron states. In the quasi- and pseudo-PDF methods, the matching coefficient in the factorization or expansion formula includes large logarithms near the threshold, which arise from the subtle interp… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2102.01101v2-abstract-full').style.display = 'inline'; document.getElementById('2102.01101v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2102.01101v2-abstract-full" style="display: none;"> Many present lattice QCD approaches to calculate the parton distribution functions (PDFs) rely on a factorization formula or effective theory expansion of certain Euclidean matrix elements in boosted hadron states. In the quasi- and pseudo-PDF methods, the matching coefficient in the factorization or expansion formula includes large logarithms near the threshold, which arise from the subtle interplay of collinear and soft divergences of an underlying 3D momentum distribution. We use the standard prescription to resum such logarithms in the Mellin-moment space at next-to-leading logarithmic accuracy, which also accounts for the DGLAP evolution, and we show that it can suppress the PDF at large $x$. Unlike the deep inelastic scattering and Drell-Yan cross sections, the resummation formula is away from the Landau pole. We then apply our formulation to reanalyze the recent lattice results for the pion valence PDF, and find that within the current data sensitivity, the effect of threshold resummation is marginal for the accessible moments and the PDF at large $x$. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2102.01101v2-abstract-full').style.display = 'none'; document.getElementById('2102.01101v2-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 May, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 1 February, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 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">15 pages, 7 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 103, 094504 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2101.11632">arXiv:2101.11632</a> <span> [<a href="https://arxiv.org/pdf/2101.11632">pdf</a>, <a href="https://arxiv.org/format/2101.11632">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.103.094510">10.1103/PhysRevD.103.094510 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Towards studying the structural differences between the pion and its radial excitation </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gao%2C+X">Xiang Gao</a>, <a href="/search/hep-lat?searchtype=author&query=Karthik%2C+N">Nikhil Karthik</a>, <a href="/search/hep-lat?searchtype=author&query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&query=Petreczky%2C+P">Peter Petreczky</a>, <a href="/search/hep-lat?searchtype=author&query=Syritsyn%2C+S">Sergey Syritsyn</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2101.11632v2-abstract-short" style="display: inline;"> We present an exploratory lattice QCD investigation of the differences between the valence quark structure of pion and its radial excitation $蟺(1300)$ in a fixed finite volume using the leading-twist factorization approach. We present evidences that the first pion excitation in our lattice computation is a single particle state that is likely to be the finite volume realization of $蟺(1300)$. An an… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2101.11632v2-abstract-full').style.display = 'inline'; document.getElementById('2101.11632v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2101.11632v2-abstract-full" style="display: none;"> We present an exploratory lattice QCD investigation of the differences between the valence quark structure of pion and its radial excitation $蟺(1300)$ in a fixed finite volume using the leading-twist factorization approach. We present evidences that the first pion excitation in our lattice computation is a single particle state that is likely to be the finite volume realization of $蟺(1300)$. An analysis with reasonable priors result in better estimates of the excited state PDF and the moments, wherein we find evidence that the radial excitation of pion correlates with an almost two-fold increase in the momentum fraction of valence quarks. This proof-of-principle work establishes the viability of future lattice computations incorporating larger operator basis that can resolve the structural changes accompanying hadronic excitation. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2101.11632v2-abstract-full').style.display = 'none'; document.getElementById('2101.11632v2-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 February, 2021; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 27 January, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 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; References added</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-21-3311 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 103, 094510 (2021) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2009.09473">arXiv:2009.09473</a> <span> [<a href="https://arxiv.org/pdf/2009.09473">pdf</a>, <a href="https://arxiv.org/format/2009.09473">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"> A Preliminary Determination of the Second Mellin Moment of the Pion's Distribution Amplitude Using the Heavy Quark Operator Product Expansion </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&query=Grebe%2C+A+V">Anthony V. Grebe</a>, <a href="/search/hep-lat?searchtype=author&query=Kanamori%2C+I">Issaku Kanamori</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=Mondal%2C+S">Santanu Mondal</a>, <a href="/search/hep-lat?searchtype=author&query=Perry%2C+R+J">Robert J. Perry</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2009.09473v2-abstract-short" style="display: inline;"> We explore the feasibility of determining Mellin moments of the pion's light cone distribution amplitude using the heavy quark operator product expansion (HOPE) method. As the first step of a proof of principle study we pursue a determination of the second Mellin moment. We discuss our choice of kinematics which allows us to successfully extract the moment at low pion momentum. We describe the num… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.09473v2-abstract-full').style.display = 'inline'; document.getElementById('2009.09473v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2009.09473v2-abstract-full" style="display: none;"> We explore the feasibility of determining Mellin moments of the pion's light cone distribution amplitude using the heavy quark operator product expansion (HOPE) method. As the first step of a proof of principle study we pursue a determination of the second Mellin moment. We discuss our choice of kinematics which allows us to successfully extract the moment at low pion momentum. We describe the numerical simulation, and describe the data analysis, which leads us to a preliminary determination of the second Mellin moment in the continuum limit in the quenched approximation as $\langle尉^2\rangle=0.19(7)$ in the $\bar{\text{MS}}$ scheme at 2 GeV. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.09473v2-abstract-full').style.display = 'none'; document.getElementById('2009.09473v2-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 October, 2020; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 20 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">9 pages, 8 figures. Contribution to the proceedings of the 2020 Asia-Pacific Symposium on Lattice Field Theory (APLAT 2020). Several citations and additional affiliation added</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> MIT-CTP/5236 </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2009.01291">arXiv:2009.01291</a> <span> [<a href="https://arxiv.org/pdf/2009.01291">pdf</a>, <a href="https://arxiv.org/format/2009.01291">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Experiment">nucl-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> </div> <p class="title is-5 mathjax"> Proton spin after 30 years: what we know and what we don't? </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Ji%2C+X">Xiangdong Ji</a>, <a href="/search/hep-lat?searchtype=author&query=Yuan%2C+F">Feng Yuan</a>, <a href="/search/hep-lat?searchtype=author&query=Zhao%2C+Y">Yong Zhao</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="2009.01291v1-abstract-short" style="display: inline;"> More than three decades has passed since the European Muon Collaboration published the first surprising result on the spin structure of the proton. Much theoretical and experimental progress has been made in understanding the origins of the proton spin. In this review, we will discuss what we have learned so far, what are still missing, and what we shall expect to learn from the upcoming experimen… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.01291v1-abstract-full').style.display = 'inline'; document.getElementById('2009.01291v1-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2009.01291v1-abstract-full" style="display: none;"> More than three decades has passed since the European Muon Collaboration published the first surprising result on the spin structure of the proton. Much theoretical and experimental progress has been made in understanding the origins of the proton spin. In this review, we will discuss what we have learned so far, what are still missing, and what we shall expect to learn from the upcoming experiments including JLab 12 GeV and Electron-Ion Collider. In particular, we focus on first principles calculations and experimental measurements of the total gluon helicity $螖G$, and quark and gluon orbital angular momenta. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2009.01291v1-abstract-full').style.display = 'none'; document.getElementById('2009.01291v1-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 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">17 pages, 4 figures, to appear in Nature Review</span> </p> </li> </ol> <nav class="pagination is-small is-centered breathe-horizontal" role="navigation" aria-label="pagination"> <a href="" class="pagination-previous is-invisible">Previous </a> <a href="/search/?searchtype=author&query=Zhao%2C+Y&start=50" class="pagination-next" >Next </a> <ul class="pagination-list"> <li> <a href="/search/?searchtype=author&query=Zhao%2C+Y&start=0" class="pagination-link is-current" aria-label="Goto page 1">1 </a> </li> <li> <a href="/search/?searchtype=author&query=Zhao%2C+Y&start=50" class="pagination-link " aria-label="Page 2" aria-current="page">2 </a> </li> </ul> </nav> <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 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