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<button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/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/2302.01192">arXiv:2302.01192</a> <span> [<a href="https://arxiv.org/pdf/2302.01192">pdf</a>, <a href="https://arxiv.org/format/2302.01192">other</a>] </span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Experiment">hep-ex</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Lattice">hep-lat</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.108.L091504">10.1103/PhysRevD.108.L091504 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Tomography of pions and protons via transverse momentum dependent distributions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Barry%2C+P+C">P. C. Barry</a>, <a href="/search/hep-lat?searchtype=author&query=Gamberg%2C+L">L. Gamberg</a>, <a href="/search/hep-lat?searchtype=author&query=Melnitchouk%2C+W">W. Melnitchouk</a>, <a href="/search/hep-lat?searchtype=author&query=Moffat%2C+E">E. Moffat</a>, <a href="/search/hep-lat?searchtype=author&query=Pitonyak%2C+D">D. Pitonyak</a>, <a href="/search/hep-lat?searchtype=author&query=Prokudin%2C+A">A. Prokudin</a>, <a href="/search/hep-lat?searchtype=author&query=Sato%2C+N">N. Sato</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="2302.01192v2-abstract-short" style="display: inline;"> We perform the first simultaneous extraction of parton collinear and transverse degrees of freedom from low-energy fixed-target Drell-Yan data in order to compare the transverse momentum dependent (TMD) parton distribution functions (PDFs) of the pion and proton. We demonstrate that the transverse separation of the quark field encoded in TMDs of the pion is more than $4 蟽$ smaller than that of the… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2302.01192v2-abstract-full').style.display = 'inline'; document.getElementById('2302.01192v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2302.01192v2-abstract-full" style="display: none;"> We perform the first simultaneous extraction of parton collinear and transverse degrees of freedom from low-energy fixed-target Drell-Yan data in order to compare the transverse momentum dependent (TMD) parton distribution functions (PDFs) of the pion and proton. We demonstrate that the transverse separation of the quark field encoded in TMDs of the pion is more than $4 蟽$ smaller than that of the proton. Additionally, we find the transverse separation of the quark field decreases as its longitudinal momentum fraction decreases. In studying the nuclear modification of TMDs, we find clear evidence for a transverse EMC effect. We comment on possible explanations for these intriguing behaviors, which call for a deeper examination of tomography in a variety of strongly interacting quark-gluon systems. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2302.01192v2-abstract-full').style.display = 'none'; document.getElementById('2302.01192v2-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 October, 2023; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 2 February, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">7 pages, 3 figures; version to appear in Phys. Rev. D</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> JLAB-THY-23-3749, ADP-23-03/T1212 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 108, L091504 (2023) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2002.08384">arXiv:2002.08384</a> <span> [<a href="https://arxiv.org/pdf/2002.08384">pdf</a>, <a href="https://arxiv.org/format/2002.08384">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 class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1103/PhysRevD.102.054002">10.1103/PhysRevD.102.054002 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Origin of single transverse-spin asymmetries in high-energy collisions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Cammarota%2C+J">Justin Cammarota</a>, <a href="/search/hep-lat?searchtype=author&query=Gamberg%2C+L">Leonard Gamberg</a>, <a href="/search/hep-lat?searchtype=author&query=Kang%2C+Z">Zhong-Bo Kang</a>, <a href="/search/hep-lat?searchtype=author&query=Miller%2C+J+A">Joshua A. Miller</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=Rogers%2C+T+C">Ted C. Rogers</a>, <a href="/search/hep-lat?searchtype=author&query=Sato%2C+N">Nobuo Sato</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="2002.08384v2-abstract-short" style="display: inline;"> In this paper we perform the first simultaneous QCD global analysis of data from semi-inclusive deep inelastic scattering, Drell-Yan, $e^+e^-$ annihilation into hadron pairs, and proton-proton collisions. Consequently, we are able to extract a universal set of non-perturbative functions that describes the observed asymmetries in these reactions. The outcome of our analysis indicates single transve… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2002.08384v2-abstract-full').style.display = 'inline'; document.getElementById('2002.08384v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2002.08384v2-abstract-full" style="display: none;"> In this paper we perform the first simultaneous QCD global analysis of data from semi-inclusive deep inelastic scattering, Drell-Yan, $e^+e^-$ annihilation into hadron pairs, and proton-proton collisions. Consequently, we are able to extract a universal set of non-perturbative functions that describes the observed asymmetries in these reactions. The outcome of our analysis indicates single transverse-spin asymmetries in high-energy collisions have a common origin. Furthermore, we achieve the first phenomenological agreement with lattice QCD on the up and down quark tensor charges. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2002.08384v2-abstract-full').style.display = 'none'; document.getElementById('2002.08384v2-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">v1</span> submitted 19 February, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> February 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">8 pages, 6 figures, matches 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-20-3151 </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Rev. D 102, 054002 (2020) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/1412.3401">arXiv:1412.3401</a> <span> [<a href="https://arxiv.org/pdf/1412.3401">pdf</a>, <a href="https://arxiv.org/ps/1412.3401">ps</a>, <a href="https://arxiv.org/format/1412.3401">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/10.1016/j.physletb.2015.02.021">10.1016/j.physletb.2015.02.021 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Quasi-parton distribution functions: a study in the diquark spectator model </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&query=Gamberg%2C+L">Leonard Gamberg</a>, <a href="/search/hep-lat?searchtype=author&query=Kang%2C+Z">Zhong-Bo Kang</a>, <a href="/search/hep-lat?searchtype=author&query=Vitev%2C+I">Ivan Vitev</a>, <a href="/search/hep-lat?searchtype=author&query=Xing%2C+H">Hongxi Xing</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="1412.3401v2-abstract-short" style="display: inline;"> A set of quasi-parton distribution functions (quasi-PDFs) have been recently proposed by Ji. Defined as the matrix elements of equal-time spatial correlations, they can be computed on the lattice and should reduce to the standard PDFs when the proton momentum $P_z$ is very large. Since taking the $P_z\to \infty$ limit is not feasible in lattice simulations, it is essential to provide guidance for… <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1412.3401v2-abstract-full').style.display = 'inline'; document.getElementById('1412.3401v2-abstract-short').style.display = 'none';">▽ More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="1412.3401v2-abstract-full" style="display: none;"> A set of quasi-parton distribution functions (quasi-PDFs) have been recently proposed by Ji. Defined as the matrix elements of equal-time spatial correlations, they can be computed on the lattice and should reduce to the standard PDFs when the proton momentum $P_z$ is very large. Since taking the $P_z\to \infty$ limit is not feasible in lattice simulations, it is essential to provide guidance for what values of $P_z$ the quasi-PDFs are good approximations of standard PDFs. Within the framework of the spectator diquark model, we evaluate both the up and down quarks' quasi-PDFs and standard PDFs for all leading-twist distributions (unpolarized distribution $f_1$, helicity distribution $g_1$, and transversity distribution $h_1$). We find that, for intermediate parton momentum fractions $x$, quasi-PDFs are good approximations to standard PDFs (within $20-30%$) when $P_z\gtrsim 1.5-2$ GeV. On the other hand, for large $x\sim 1$ much larger $P_z > 4$ GeV is necessary to obtain a satisfactory agreement between the two sets. We further test the Soffer positivity bound, and find that it does not hold in general for quasi-PDFs. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('1412.3401v2-abstract-full').style.display = 'none'; document.getElementById('1412.3401v2-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, 2015; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 10 December, 2014; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> December 2014. </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, 9 figures, added reference, to appear in Phys. Lett. B</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Phys. Lett. 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