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name="order"><option selected value="-announced_date_first">Announcement date (newest first)</option><option value="announced_date_first">Announcement date (oldest first)</option><option value="-submitted_date">Submission date (newest first)</option><option value="submitted_date">Submission date (oldest first)</option><option value="">Relevance</option></select> </span> </div> <div class="control"> <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/2311.16402">arXiv:2311.16402</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2311.16402">pdf</a>, <a href="https://arxiv.org/format/2311.16402">other</a>]&nbsp;</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"> A unified description of DGLAP, CSS, and BFKL: TMD factorization bridging large and small x </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/hep-lat?searchtype=author&amp;query=Mukherjee%2C+S">Swagato Mukherjee</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Skokov%2C+V+V">Vladimir V. Skokov</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Tarasov%2C+A">Andrey Tarasov</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Tiwari%2C+S">Shaswat Tiwari</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="2311.16402v2-abstract-short" style="display: inline;"> This paper introduces a transverse-momentum dependent (TMD) factorization scheme designed to unify both large and small Bjorken-x regimes. We compute the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to the gluon TMD operator for an unpolarized hadron within this proposed scheme. This leads to the emergence of a new TMD evolution, incorporating those in transverse momentum,&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.16402v2-abstract-full').style.display = 'inline'; document.getElementById('2311.16402v2-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2311.16402v2-abstract-full" style="display: none;"> This paper introduces a transverse-momentum dependent (TMD) factorization scheme designed to unify both large and small Bjorken-x regimes. We compute the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to the gluon TMD operator for an unpolarized hadron within this proposed scheme. This leads to the emergence of a new TMD evolution, incorporating those in transverse momentum, rapidity, and Bjorken-x. When matched to the collinear factorization scheme, our factorization scheme faithfully reproduces the well-established Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) and Collins-Soper-Sterman (CSS) evolutions. Conversely, matching with high-energy factorization not only yields the Balitsky-Fadin-Kuraev-Lipatov (BFKL) evolution but also reveals distinctive signatures of CSS logarithms. The development of this novel TMD factorization scheme, capable of seamlessly reconciling disparate Bjorken-x regimes and faithfully reproducing established QCD evolution equations, has the potential to significantly advance our comprehension of high-energy processes and three-dimensional parton structures of hadrons. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2311.16402v2-abstract-full').style.display = 'none'; document.getElementById('2311.16402v2-abstract-short').style.display = 'inline';">&#9651; 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 27 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">38 pages, 7 figures; v2: 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/2304.03302">arXiv:2304.03302</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2304.03302">pdf</a>, <a href="https://arxiv.org/format/2304.03302">other</a>]&nbsp;</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&amp;query=Boussarie%2C+R">Renaud Boussarie</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Burkardt%2C+M">Matthias Burkardt</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Constantinou%2C+M">Martha Constantinou</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Detmold%2C+W">William Detmold</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Ebert%2C+M">Markus Ebert</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Engelhardt%2C+M">Michael Engelhardt</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Fleming%2C+S">Sean Fleming</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Gamberg%2C+L">Leonard Gamberg</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Ji%2C+X">Xiangdong Ji</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Kang%2C+Z">Zhong-Bo Kang</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Lee%2C+C">Christopher Lee</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Liu%2C+K">Keh-Fei Liu</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Liuti%2C+S">Simonetta Liuti</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Mehen%2C+T">Thomas Mehen</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Metz%2C+A">Andreas Metz</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Negele%2C+J">John Negele</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Pitonyak%2C+D">Daniel Pitonyak</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Prokudin%2C+A">Alexei Prokudin</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Qiu%2C+J">Jian-Wei Qiu</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Rajan%2C+A">Abha Rajan</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Schlegel%2C+M">Marc Schlegel</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Shanahan%2C+P">Phiala Shanahan</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Schweitzer%2C+P">Peter Schweitzer</a>, <a href="/search/hep-lat?searchtype=author&amp;query=Stewart%2C+I+W">Iain W. Stewart</a>, <a href="/search/hep-lat?searchtype=author&amp;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&hellip; <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';">&#9661; 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';">&#9651; 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 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