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We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon &lt;math display=&quot;inline&quot;&gt;&lt;mi&gt;t&lt;/mi&gt;&lt;/math&gt;-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops. The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon $t$-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops. Falcioni, Giulio; Gardi, Einan; Maher, Niamh; Milloy, Calum; Vernazza, Leonardo" /> <meta name="keywords" content="CERN Document Server, WebSearch, CERN Document Server" /> <script type="text/javascript" src="https://cds.cern.ch/js/jquery.min.js"></script> <!-- WebNews CSS library --> <link rel="stylesheet" href="https://cds.cern.ch/img/webnews.css" type="text/css" /> <!-- WebNews JS library --> <script type="text/javascript" src="https://cds.cern.ch/js/webnews.js?v=20131009"></script> <meta property="fb:app_id" content="137353533001720"/> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: {inlineMath: [['$','$']], processEscapes: true}, showProcessingMessages: false, messageStyle: "none" }); </script> <script src="/MathJax/MathJax.js?config=TeX-AMS_CHTML" type="text/javascript"> </script> <!-- GoogleScholar --> <meta content="APS : Disentangling the Regge cut and Regge pole in perturbative QCD" name="citation_title" /> <meta content="Falcioni, Giulio" name="citation_author" /> <meta content="Gardi, Einan" name="citation_author" /> <meta content="Vernazza, Leonardo" name="citation_author" /> <meta content="Milloy, Calum" name="citation_author" /> <meta content="Maher, Niamh" name="citation_author" /> <meta content="10.1103/PhysRevLett.128.132001" name="citation_doi" /> <meta content="Phys. 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Edinburgh, Higgs Ctr. Theor. Phys.) ; <a href="https://cds.cern.ch/search?f=author&amp;p=Gardi%2C%20Einan&amp;ln=en">Gardi, Einan</a> (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; <a href="https://cds.cern.ch/search?f=author&amp;p=Maher%2C%20Niamh&amp;ln=en">Maher, Niamh</a> (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; <a href="https://cds.cern.ch/search?f=author&amp;p=Milloy%2C%20Calum&amp;ln=en">Milloy, Calum</a> (INFN, Turin ; Turin U.) ; <a href="https://cds.cern.ch/search?f=author&amp;p=Vernazza%2C%20Leonardo&amp;ln=en">Vernazza, Leonardo</a> (INFN, Turin ; Turin U. ; CERN)</td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">2022-03-30</td></tr> <tr><td class="formatRecordLabel"> Imprint </td><td style="padding-left:5px;">2021-12-21</td></tr> <tr><td class="formatRecordLabel"> Number of pages </td><td style="padding-left:5px;">7</td></tr> <tr><td class="formatRecordLabel"> Note </td><td style="padding-left:5px;">7 pages, 2 figures; v2: comments regarding the supersymmetric case added, to appear in Phys. Rev. Lett; v3: added ancillary file</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1103/PhysRevLett.128.132001"><i>Phys. Rev. Lett.</i> 128 (2022) 132001</a> </a></td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.1103/PhysRevLett.128.132001" title="DOI" target="_blank">10.1103/PhysRevLett.128.132001</a> (publication) <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">hep-th ; Particle Physics - Theory ; hep-ph ; Particle Physics - Phenomenology</td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon $t$-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops.</td></tr> <tr><td class="formatRecordLabel"> Copyright/License </td><td style="padding-left:5px;">publication: &copy; 2022-2024 authors (License: <a href="https://creativecommons.org/licenses/by/4.0/">CC BY 4.0</a>), sponsored by <a href="http://scoap3.org">SCOAP&#179;</a><br/>preprint: (License: <a href="http://arxiv.org/licenses/nonexclusive-distrib/1.0/">arXiv nonexclusive-distrib 1.0</a>)</td></tr> </table> <br /><div style="max-width:1024px;margin:auto"><div style="overflow-x:auto;display:inline;width:100%;"><a href="/record/2798707/plots#0"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2798707/files/h33ML.png" title=" : " width="200px"/></a> <a href="/record/2798707/plots#1"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2798707/files/h1331-crop.png" title=" : " width="200px"/></a> </div></div><br /> <br/>Corresponding record in: <a href="http://inspirehep.net/record/1995084">Inspire</a> <small> </small> <br/> <br/><br/><div align="right"><div style="padding-bottom:2px;padding-top:30px;"><span class="moreinfo" style="margin-right:10px;"> <a href="" class="moreinfo">Back to search</a> </span></div></div> <div class="bottom-left-folded"><div class="recordlastmodifiedbox" style="position:relative;margin-left:1px">&nbsp;Record created 2021-12-23, last modified 2023-10-04</div></div> <div class="bottom-right-folded" style="text-align:right;padding-bottom:2px;"> <span class="moreinfo" style="margin-right:10px;"><a href="/search?ln=en&amp;p=recid%3A2798707&amp;rm=wrd" class="moreinfo">Similar records</a></span></div> </div> </div> </div> <br/> <br /> <div class="detailedrecordminipanel"> <div class="top-left"></div><div class="top-right"></div> <div class="inside"> <div id="detailedrecordminipanelfile" style="width:33%;float:left;text-align:center;margin-top:0"> <div><small class="detailedRecordActions">Fulltext:</small> <br /><em>PhysRevLett.128.132001</em> - <a href="/record/2798707/files/PhysRevLett.128.132001.pdf"><img style="border:none" src="/img/file-icon-text-12x16.gif" alt="Download fulltext"/>PDF</a><br /><em>2112.11098</em> - <a href="/record/2798707/files/2112.11098.pdf"><img style="border:none" src="/img/file-icon-text-12x16.gif" alt="Download fulltext"/>PDF</a><br /></div> </div> <div id="detailedrecordminipanelreview" style="width:30%;float:left;text-align:center"> </div> <div id="detailedrecordminipanelactions" style="width:36%;float:right;text-align:right;"> <ul class="detailedrecordactions"> <li><a href="/yourbaskets/add?ln=en&amp;recid=2798707">Add to personal basket</a></li> <li>Export as <a style="text-decoration:underline;font-weight:normal" href="/record/2798707/export/hx?ln=en">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2798707/export/hm?ln=en">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2798707/export/xm?ln=en">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2798707/export/xd?ln=en">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2798707/export/xe?ln=en">EndNote</a>, <!-- <a style="text-decoration:underline;font-weight:normal" href="/record/2798707/export/xe8x?ln=en">EndNote (8-X)</a>,--> <a style="text-decoration:underline;font-weight:normal" href="/record/2798707/export/xn?ln=en">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2798707/export/xw?ln=en">RefWorks</a> </li> </ul> <div style='padding-left: 13px;'> <!-- JQuery Bookmark Button BEGIN --> <div id="bookmark"></div> <div id="bookmark_sciencewise"></div> <style type="text/css"> #bookmark_sciencewise, #bookmark {float: left;} #bookmark_sciencewise li {padding: 2px; width: 25px;} #bookmark_sciencewise ul, #bookmark ul {list-style-image: none;} </style> <script type="text/javascript" src="/js/jquery.bookmark.min.js"></script> <style type="text/css">@import "/css/jquery.bookmark.css";</style> <script type="text/javascript">// <![CDATA[ $.bookmark.addSite('sciencewise', 'ScienceWise.info', 'https://cds.cern.ch/img/sciencewise.png', 'en', 'bookmark', 'http://sciencewise.info/bookmarks/2112.1109/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'https://cds.cern.ch/record/2798707', addEmail: true, title: "Disentangling the Regge cut and Regge pole in perturbative QCD", description: "The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. While the nonplanar part of multiple Reggeon <math display=\"inline\"><mi>t</mi></math>-channel exchange forms a Regge cut, the planar part contributes to the pole along with the single Reggeon. With this, we find that the infrared singularities of the trajectory are given by the cusp anomalous dimension. By matching to recent QCD results, we determine the quark and gluon impact factors to two loops and the Regge trajectory to three loops." }); // ]]> </script> <!-- JQuery Bookmark Button END --> </div> </div> <div style="clear:both;margin-bottom: 0;"></div> </div> <div class="bottom-left"></div><div class="bottom-right"></div> </div> </div></div> <footer id="footer" class="pagefooter clearfix"> <!-- replaced page footer --> <div class="pagefooterstripeleft"> CERN Document Server&nbsp;::&nbsp;<a class="footer" href="https://cds.cern.ch/?ln=en">Search</a>&nbsp;::&nbsp;<a class="footer" href="https://cds.cern.ch/submit?ln=en">Submit</a>&nbsp;::&nbsp;<a class="footer" href="https://cds.cern.ch/youraccount/display?ln=en">Personalize</a>&nbsp;::&nbsp;<a class="footer" href="https://cds.cern.ch/help/?ln=en">Help</a>&nbsp;::&nbsp;<a class="footer" href="https://cern.service-now.com/service-portal?id=privacy_policy&se=CDS-Service" target="_blank">Privacy Notice</a> <br /> Powered by <a class="footer" href="http://invenio-software.org/">Invenio</a> <br /> Maintained by <a class="footer" href="https://cern.service-now.com/service-portal?id=service_element&name=CDS-Service">CDS Service</a> - Need help? 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