CINXE.COM
Disentangling the Regge cut and Regge pole in perturbative QCD - CERN Document Server
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <!--[if IEMobile 7]><html class="iem7" xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><![endif]--> <!--[if lte IE 6]><html class="ie6 ie6-7 ie6-8" xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><![endif]--> <!--[if (IE 7)&(!IEMobile)]><html class="ie7 ie6-7 ie6-8" xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><![endif]--> <!--[if IE 8]><html class="ie8 ie6-8" xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><![endif]--> <!--[if (gte IE 9)|(gt IEMobile 7)]><!--><html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"><!--<![endif]--> <head> <title>Disentangling the Regge cut and Regge pole in perturbative QCD - CERN Document Server</title> <link href='https://framework.web.cern.ch/framework/2.0/fonts/PTSansWeb/PTSansWeb.css' rel='stylesheet' type='text/css' /> <link rel="stylesheet" href="https://cds.cern.ch/img/invenio.css?v=20141127" type="text/css" /> <link rel="stylesheet" href="https://cds.cern.ch/img/cern_theme/css/cern_theme.css?v=20141127" type="text/css" /> <link rel="stylesheet"href="/css/font-awesome.min.css"> <meta http-equiv="X-UA-Compatible" content="IE=Edge"/> <link rel="stylesheet" href="https://cds.cern.ch/img/cern_toolbar/css/toolbar.css" type="text/css" /> <!--[if lt IE 8]> <link href="https://cds.cern.ch/img/cern_toolbar/css/toolbar-ie.css" rel="stylesheet" type="text/css"> <![endif]--> <!--[if lt IE 8]> <link rel="stylesheet" type="text/css" href="https://cds.cern.ch/img/invenio-ie7.css" /> <![endif]--> <!--[if gt IE 8]> <style type="text/css">div.restrictedflag {filter:none;}</style> <![endif]--> <link rel="canonical" href="https://cds.cern.ch/record/2798707" /> <link rel="alternate" hreflang="el" href="https://cds.cern.ch/record/2798707?ln=el" /> <link rel="alternate" hreflang="fr" href="https://cds.cern.ch/record/2798707?ln=fr" /> <link rel="alternate" hreflang="bg" href="https://cds.cern.ch/record/2798707?ln=bg" /> <link rel="alternate" hreflang="zh-TW" href="https://cds.cern.ch/record/2798707?ln=zh_TW" /> <link rel="alternate" hreflang="pt" href="https://cds.cern.ch/record/2798707?ln=pt" /> <link rel="alternate" hreflang="no" href="https://cds.cern.ch/record/2798707?ln=no" /> <link rel="alternate" hreflang="hr" href="https://cds.cern.ch/record/2798707?ln=hr" /> <link rel="alternate" hreflang="ca" href="https://cds.cern.ch/record/2798707?ln=ca" /> <link rel="alternate" hreflang="de" href="https://cds.cern.ch/record/2798707?ln=de" /> <link rel="alternate" hreflang="it" href="https://cds.cern.ch/record/2798707?ln=it" /> <link rel="alternate" hreflang="zh-CN" href="https://cds.cern.ch/record/2798707?ln=zh_CN" /> <link rel="alternate" hreflang="sv" href="https://cds.cern.ch/record/2798707?ln=sv" /> <link rel="alternate" hreflang="sk" href="https://cds.cern.ch/record/2798707?ln=sk" /> <link rel="alternate" hreflang="en" href="https://cds.cern.ch/record/2798707?ln=en" /> <link rel="alternate" hreflang="pl" href="https://cds.cern.ch/record/2798707?ln=pl" /> <link rel="alternate" hreflang="ru" href="https://cds.cern.ch/record/2798707?ln=ru" /> <link rel="alternate" hreflang="ka" href="https://cds.cern.ch/record/2798707?ln=ka" /> <link rel="alternate" hreflang="ja" href="https://cds.cern.ch/record/2798707?ln=ja" /> <link rel="alternate" hreflang="es" href="https://cds.cern.ch/record/2798707?ln=es" /> <link rel="alternate" type="application/rss+xml" title="CERN Document Server RSS" href="/rss?ln=en" /> <link rel="search" type="application/opensearchdescription+xml" href="https://cds.cern.ch/opensearchdescription" title="CERN Document Server" /> <link rel="unapi-server" type="application/xml" title="unAPI" href="https://cds.cern.ch/unapi" /> <link rel="apple-touch-icon" href="/apple-touch-icon.png"/> <link rel="apple-touch-icon-precomposed" href="/apple-touch-icon-precomposed.png"/> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <meta http-equiv="Content-Language" content="en" /> <meta name="description" content="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. 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. Rev. Lett." name="citation_journal_title" /> <meta content="128" name="citation_volume" /> <meta content="132001" name="citation_firstpage" /> <meta content="2021/12/21" name="citation_publication_date" /> <meta name="citation_online_date" content="2021/12/23"> <meta content="arXiv:2112.11098" name="citation_technical_report_number" /> <meta content="CERN-TH-2021-225" name="citation_technical_report_number" /> <meta content="10.1103/PhysRevLett.128.132001" name="citation_doi" /> <meta name="citation_pdf_url" content="https://cds.cern.ch/record/2798707/files/2112.11098.pdf" /> <meta name="citation_pdf_url" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.pdf" /> <!-- OpenGraph --> <meta content="APS" property="og:title" /> <meta content="Disentangling the Regge cut and Regge pole in perturbative QCD" property="og:title" /> <meta content="website" property="og:type" /> <meta content="https://cds.cern.ch/record/2798707" property="og:url" /> <meta name="twitter:image" content="https://cds.cern.ch/record/2798707/files/h33ML.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2798707/files/h33ML.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2798707/files/h33ML.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2798707/files/h1331-crop.png" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2798707/files/h1331-crop.png" /> <meta property="og:image" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.jpg?subformat=icon-180" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.jpg?subformat=icon-180" /> <meta property="og:image" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.gif?subformat=icon" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.gif?subformat=icon" /> <meta property="og:image" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.jpg?subformat=icon-180" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.jpg?subformat=icon-180" /> <meta property="og:image" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.jpg?subformat=icon-700" /> <meta property="og:image:secure_url" content="https://cds.cern.ch/record/2798707/files/PhysRevLett.128.132001.jpg?subformat=icon-700" /> <meta content="CERN Document Server" property="og:site_name" /> <meta content="APS" property="og:description" /> <meta content="arXiv" property="og:description" /> <meta content="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." property="og:description" /> <meta content="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." property="og:description" /> <!-- Twitter Card --> <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="en"> <!-- toolbar starts --> <div id="cern-toolbar"> <h1><a href="http://cern.ch" title="CERN">CERN <span>Accelerating science</span></a></h1> <ul> <li class="cern-accountlinks"><a class="cern-account" href="https://cds.cern.ch/youraccount/login?ln=en&referer=https%3A//cds.cern.ch/record/2798707%3Fln%3Den" title="Sign in to your CERN account">Sign in</a></li> <li><a class="cern-directory" href="http://cern.ch/directory" title="Search CERN resources and browse the directory">Directory</a></li> </ul> </div> <!-- toolbar ends --> <!-- Nav header starts--> <div role="banner" class="clearfix" id="header"> <div class="header-inner inner"> <hgroup class="clearfix"> <h2 id="site-name"> <a rel="home" title="Home" href="/"><span>CERN Document Server</span></a> </h2> <h3 id="site-slogan">Access articles, reports and multimedia content in HEP</h3> </hgroup><!-- /#name-and-slogan --> <div role="navigation" id="main-navigation" class="cdsmenu"> <h2 class="element-invisible">Main menu</h2><ul class="links inline clearfix"> <li class="menu-386 first active-trail"><a class="active-trail" href="https://cds.cern.ch/?ln=en">Search</a></li> <li class="menu-444 "><a class="" title="" href="https://cds.cern.ch/submit?ln=en">Submit</a></li> <li class="menu-426 "><a class="" href="https://cds.cern.ch/help/?ln=en">Help</a></li> <li class="leaf hassubcdsmenu"> <a hreflang="en" class="header" href="https://cds.cern.ch/youraccount/display?ln=en">Personalize</a> <ul class="subsubcdsmenu"><li><a href="https://cds.cern.ch/youralerts/list?ln=en">Your alerts</a></li><li><a href="https://cds.cern.ch/yourbaskets/display?ln=en">Your baskets</a></li><li><a href="https://cds.cern.ch/yourcomments?ln=en">Your comments</a></li><li><a href="https://cds.cern.ch/youralerts/display?ln=en">Your searches</a></li></ul></li> </ul> </div> </div> </div> <!-- Nav header ends--> <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=en" class="navtrail">Home</a> > Disentangling the Regge cut and Regge pole in perturbative QCD </td> </tr> </table> </div> <div class="pagebody"><div class="pagebodystripemiddle"> <div class="detailedrecordbox"> <div class="detailedrecordtabs"> <div> <ul class="detailedrecordtabs"><li class="on first"><a href="/record/2798707/?ln=en">Information </a></li><li class=""><a href="/record/2798707/files?ln=en">Files </a></li></ul> <div id="tabsSpacer" style="clear:both;height:0px"> </div></div> </div> <div class="detailedrecordboxcontent"> <div class="top-left-folded"></div> <div class="top-right-folded"></div> <div class="inside"> <!--<div style="height:0.1em;"> </div> <p class="notopgap"> </p>--> <abbr class="unapi-id" title="2798707"></abbr> <style type="text/css"> <!-- ul.detailedrecordtabs li.on a{background-color:#4D94CC;color:#fff !important;border-bottom:1px solid #4D94CC!important;} div.detailedrecordboxcontent {padding-top:0px !important;} --> </style> <table class="formatRecordTableFullWidth" > <tr> <td class="formatRecordHeader" style="background-image: url('https://cds.cern.ch/img/journals.jpg');" colspan="2"> <!--YTD: record may have more than one 690C.a tag--> Article </td> </tr> <script type="text/javascript"> $( document ).ready(function() { $('.showAuthor').on('click', function() { var author = '<p>' + $(this).data('name') + '</p>'; var affiliation = $(this).data('affiliation') + '</br>'; var contribution = $(this).data('contribution') + '</br>'; $.magnificPopup.open({ items: { src: '<div id="ovelary-mathjax" class="overlay-white oc-content overlay-white-500">' + author + affiliation + contribution + '</div>', type: 'inline' }, callbacks: { open: function() { var div = document.getElementById("overlay-mathjax") MathJax.Hub.Queue(["Typeset", MathJax.Hub, div]); }, } }) }) }); </script> <tr><td class="formatRecordLabel"> Report number </td><td style="padding-left:5px;"><a href="http://arxiv.org/abs/arXiv:2112.11098">arXiv:2112.11098</a> ; CERN-TH-2021-225</td></tr> <tr><td class="formatRecordLabel"> Title </td><td style="padding-left:5px;"><b>Disentangling the Regge cut and Regge pole in perturbative QCD</b></td></tr> <tr><td class="formatRecordLabel"><span style="white-space:nowrap;"> Author(s) </span> </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/search?f=author&p=Falcioni%2C%20Giulio&ln=en">Falcioni, Giulio</a> (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; <a href="https://cds.cern.ch/search?f=author&p=Gardi%2C%20Einan&ln=en">Gardi, Einan</a> (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; <a href="https://cds.cern.ch/search?f=author&p=Maher%2C%20Niamh&ln=en">Maher, Niamh</a> (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; <a href="https://cds.cern.ch/search?f=author&p=Milloy%2C%20Calum&ln=en">Milloy, Calum</a> (INFN, Turin ; Turin U.) ; <a href="https://cds.cern.ch/search?f=author&p=Vernazza%2C%20Leonardo&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: © 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">SCOAP³</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"> 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&p=recid%3A2798707&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&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 :: <a class="footer" href="https://cds.cern.ch/?ln=en">Search</a> :: <a class="footer" href="https://cds.cern.ch/submit?ln=en">Submit</a> :: <a class="footer" href="https://cds.cern.ch/youraccount/display?ln=en">Personalize</a> :: <a class="footer" href="https://cds.cern.ch/help/?ln=en">Help</a> :: <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? Contact <a href="https://cern.service-now.com/service-portal?id=service_element&name=CDS-Service">CDS Support</a>. <br /> </div> <div class="pagefooterstriperight"> <div class="cern-logo"> <a id="logo" href="http://cern.ch" title="CERN" rel="CERN" ><img src="https://cds.cern.ch/img/cern_theme/img/cern-logo-large.png" alt="CERN" /></a> </div> <div class="cern-languagebox"> This site is also available in the following languages:<br /><a href="/record/2798707?ln=bg" class="langinfo">Български</a> <a href="/record/2798707?ln=ca" class="langinfo">Català</a> <a href="/record/2798707?ln=de" class="langinfo">Deutsch</a> <a href="/record/2798707?ln=el" class="langinfo">Ελληνικά</a> <span class="langinfo">English</span> <a href="/record/2798707?ln=es" class="langinfo">Español</a> <a href="/record/2798707?ln=fr" class="langinfo">Français</a> <a href="/record/2798707?ln=hr" class="langinfo">Hrvatski</a> <a href="/record/2798707?ln=it" class="langinfo">Italiano</a> <a href="/record/2798707?ln=ja" class="langinfo">日本語</a> <a href="/record/2798707?ln=ka" class="langinfo">ქართული</a> <a href="/record/2798707?ln=no" class="langinfo">Norsk/Bokmål</a> <a href="/record/2798707?ln=pl" class="langinfo">Polski</a> <a href="/record/2798707?ln=pt" class="langinfo">Português</a> <a href="/record/2798707?ln=ru" class="langinfo">Русский</a> <a href="/record/2798707?ln=sk" class="langinfo">Slovensky</a> <a href="/record/2798707?ln=sv" class="langinfo">Svenska</a> <a href="/record/2798707?ln=zh_CN" class="langinfo">中文(简)</a> <a href="/record/2798707?ln=zh_TW" class="langinfo">中文(繁)</a> </div> </div> <!-- replaced page footer --> </footer> <script type="text/javascript"> var SyndeticsBookCovers = (function() { var SMALL_SIZE = "sc.gif", MEDIUM_SIZE = "mc.gif", RAW_URL = "https://secure.syndetics.com/index.aspx?isbn=THEISBN/THESIZE&client=cernlibrary"; replaceCover = function(imgElement, isbns, hdFormat) { var img = new Image(), size = hdFormat ? MEDIUM_SIZE : SMALL_SIZE; var _isbns = isbns.sort(function(a, b) { // sort from shortest to longest ISBN (more modern) return a.length > b.length ? 1 : -1; }); function next() { var isbn = _isbns.pop(); if (isbn) { var url = RAW_URL.replace("THEISBN", isbn).replace("THESIZE", size); img.src = url; } } function done() { imgElement.src = img.src; } img.onload = function() { if (this.width > 1) { done(); } else { next(); } }; next(); }; return { replaceCover: replaceCover }; })(); $(document).ready(function() { // get book covers $("img.book-cover").each(function() { var $this = $(this), strIsbns = $this.data("isbns") || "", isbnsArray = String(strIsbns).split(","), hdFormat = $this.hasClass("hd"); SyndeticsBookCovers.replaceCover(this, isbnsArray, hdFormat); }); // WebNews tooltips $.ajax({ url: "/news/tooltips", success: function(data) { create_tooltips(data); }, dataType: "json", cache: false }); }); </script> <!-- Feedback script --> <script src="//cds.cern.ch/js/feedback.js"></script> <!-- Feedback script --> <!-- Matomo --> <script> var _paq = window._paq = window._paq || []; /* tracker methods like "setCustomDimension" should be called before "trackPageView" */ _paq.push(['trackPageView']); _paq.push(['enableLinkTracking']); (function() { var u="https://webanalytics.web.cern.ch/"; _paq.push(['setTrackerUrl', u+'matomo.php']); _paq.push(['setSiteId', '756']); var d=document, g=d.createElement('script'), s=d.getElementsByTagName('script')[0]; g.async=true; g.src=u+'matomo.js'; s.parentNode.insertBefore(g,s); })(); </script> <!-- End Matomo Code --> </body> </html>