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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">     <html xmlns="http://www.w3.org/1999/xhtml" lang="hr" xml:lang="hr" xmlns:og="http://ogp.me/ns#" xmlns:fb="http://ogp.me/ns/fb#"> <head> <title>Recent Developments from Feynman Integrals - 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" />    <link rel="canonical" href="https://cds.cern.ch/record/2920214" /> <link rel="alternate" hreflang="el" href="https://cds.cern.ch/record/2920214?ln=el" /> <link rel="alternate" hreflang="fr" href="https://cds.cern.ch/record/2920214?ln=fr" /> <link rel="alternate" hreflang="bg" href="https://cds.cern.ch/record/2920214?ln=bg" /> <link rel="alternate" hreflang="zh-TW" href="https://cds.cern.ch/record/2920214?ln=zh_TW" /> <link rel="alternate" hreflang="pt" href="https://cds.cern.ch/record/2920214?ln=pt" /> <link rel="alternate" hreflang="no" href="https://cds.cern.ch/record/2920214?ln=no" /> <link rel="alternate" hreflang="hr" href="https://cds.cern.ch/record/2920214?ln=hr" /> <link rel="alternate" hreflang="ca" href="https://cds.cern.ch/record/2920214?ln=ca" /> <link rel="alternate" hreflang="de" href="https://cds.cern.ch/record/2920214?ln=de" /> <link rel="alternate" hreflang="it" href="https://cds.cern.ch/record/2920214?ln=it" /> <link rel="alternate" hreflang="zh-CN" href="https://cds.cern.ch/record/2920214?ln=zh_CN" /> <link rel="alternate" hreflang="sv" href="https://cds.cern.ch/record/2920214?ln=sv" /> <link rel="alternate" hreflang="sk" href="https://cds.cern.ch/record/2920214?ln=sk" /> <link rel="alternate" hreflang="en" href="https://cds.cern.ch/record/2920214?ln=en" /> <link rel="alternate" hreflang="pl" href="https://cds.cern.ch/record/2920214?ln=pl" /> <link rel="alternate" hreflang="ru" href="https://cds.cern.ch/record/2920214?ln=ru" /> <link rel="alternate" hreflang="ka" href="https://cds.cern.ch/record/2920214?ln=ka" /> <link rel="alternate" hreflang="ja" href="https://cds.cern.ch/record/2920214?ln=ja" /> <link rel="alternate" hreflang="es" href="https://cds.cern.ch/record/2920214?ln=es" /> <link rel="alternate" type="application/rss+xml" title="CERN Document Server RSS" href="/rss?ln=hr" /> <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="hr" /> <meta name="description" content="This paper reviews recent developments in the field of analytical Feynman integral calculations. The central theme is the geometry associated to a given Feynman integral. In the simplest case, this is a complex curve of genus zero (aka the Riemann sphere). In this article, we discuss Feynman integrals related to more complicated geometries such as curves of higher genus or manifolds of higher dimensions. In the latter case, we encounter Calabi–Yau manifolds. We also discuss how to compute these Feynman integrals. This talk reviews recent developments in the field of analytical Feynman integral calculations. The central theme is the geometry associated to a given Feynman integral. In the simplest case this is a complex curve of genus zero (aka the Riemann sphere). In this talk we discuss Feynman integrals related to more complicated geometries like curves of higher genus or manifolds of higher dimensions. In the latter case we encounter Calabi-Yau manifolds. We also discuss how to compute these Feynman integrals. Marzucca, Robin; McLeod, Andrew J; Page, Ben; Pögel, Sebastian; Wang, Xing; Weinzierl, Stefan" /> <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>  <link rel="stylesheet" href="https://cds.cern.ch/img/webnews.css" type="text/css" />  <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>  <meta content="Acta Physica Polonica B Editorial Office : Recent Developments from Feynman Integrals" name="citation_title" /> <meta content="Marzucca, Robin" name="citation_author" /> <meta content="Pögel, Sebastian" name="citation_author" /> <meta content="McLeod, Andrew J" name="citation_author" /> <meta content="Wang, Xing" name="citation_author" /> <meta content="Weinzierl, Stefan" name="citation_author" /> <meta content="Page, Ben" name="citation_author" /> <meta content="10.5506/APhysPolBSupp.17.2-A11" name="citation_doi" /> <meta content="Acta Phys. 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We also discuss how to compute these Feynman integrals." property="og:description" /> <meta content="Acta Physica Polonica B Editorial Office" property="og:description" />  <meta content="summary" name="twitter:card" /> <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="hr">  <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=hr&referer=https%3A//cds.cern.ch/record/2920214%3Fln%3Dhr" 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>   <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> <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=hr">Pretraži</a></li> <li class="menu-444 "><a class="" title="" href="https://cds.cern.ch/submit?ln=hr">Prihvati</a></li> <li class="menu-426 "><a class="" href="https://cds.cern.ch/help/?ln=hr">Pomoć</a></li> <li class="leaf hassubcdsmenu"> <a hreflang="en" class="header" href="https://cds.cern.ch/youraccount/display?ln=hr">Personaliziraj</a> <ul class="subsubcdsmenu"><li><a href="https://cds.cern.ch/youralerts/list?ln=hr">Your alerts</a></li><li><a href="https://cds.cern.ch/yourbaskets/display?ln=hr">Your baskets</a></li><li><a href="https://cds.cern.ch/yourcomments?ln=hr">Your comments</a></li><li><a href="https://cds.cern.ch/youralerts/display?ln=hr">Your searches</a></li></ul></li> </ul> </div> </div> </div>  <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=hr" class="navtrail">Početna stranica</a> > Recent Developments from Feynman Integrals </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/2920214/?ln=hr">Information </a></li><li class=""><a href="/record/2920214/files?ln=hr">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">  <abbr class="unapi-id" title="2920214"></abbr> <style type="text/css">  </style> <table class="formatRecordTableFullWidth" > <tr> <td class="formatRecordHeader" style="background-image: url('https://cds.cern.ch/img/journals.jpg');" colspan="2">  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:2401.06360">arXiv:2401.06360</a></td></tr> <tr><td class="formatRecordLabel"> Title </td><td style="padding-left:5px;"><b>Recent Developments from Feynman Integrals</b></td></tr> <tr><td class="formatRecordLabel" style="vertical-align:top;">Related title</td><td style="padding-left:5px; ">Recent developments from Feynman integrals<br/></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=Marzucca%2C%20Robin&ln=hr">Marzucca, Robin</a> (Zurich U.) ; <a href="https://cds.cern.ch/search?f=author&p=McLeod%2C%20Andrew%20J&ln=hr">McLeod, Andrew J</a> (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; <a href="https://cds.cern.ch/search?f=author&p=Page%2C%20Ben&ln=hr">Page, Ben</a> (CERN ; Gent U.) ; <a href="https://cds.cern.ch/search?f=author&p=P%C3%B6gel%2C%20Sebastian&ln=hr">Pögel, Sebastian</a> (U. Mainz, PRISMA) ; <a href="https://cds.cern.ch/search?f=author&p=Wang%2C%20Xing&ln=hr">Wang, Xing</a> (Munich, Tech. U.) ; <a href="https://cds.cern.ch/search?f=author&p=Weinzierl%2C%20Stefan&ln=hr">Weinzierl, Stefan</a> (U. Mainz, PRISMA)</td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">2024</td></tr> <tr><td class="formatRecordLabel"> Imprint </td><td style="padding-left:5px;">2023-12-22</td></tr> <tr><td class="formatRecordLabel"> Number of pages </td><td style="padding-left:5px;">11</td></tr> <tr><td class="formatRecordLabel"> Note </td><td style="padding-left:5px;">11 pages, talk given at the conference Matter to the Deepest 2023. arXiv admin note: substantial text overlap with arXiv:2309.07531</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.5506/APhysPolBSupp.17.2-A11"><i>Acta Phys. Pol. B Proc. Suppl.</i> 17 (2024) 2-A11</a> </a></td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/record/2920361">45th International Conference of Theoretical Physics: Matter To The Deepest Recent Developments In Physics Of Fundamental Interactions (MTTD 2023)</a>, Ustroń, Poland, 17 - 22 Sep 2023, pp.2-A11</td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.5506/APhysPolBSupp.17.2-A11" title="DOI" target="_blank">10.5506/APhysPolBSupp.17.2-A11</a> <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">hep-th ; hep-ph ; Particle Physics - Theory ; Particle Physics - Phenomenology</td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">This talk reviews recent developments in the field of analytical Feynman integral calculations. The central theme is the geometry associated to a given Feynman integral. In the simplest case this is a complex curve of genus zero (aka the Riemann sphere). In this talk we discuss Feynman integrals related to more complicated geometries like curves of higher genus or manifolds of higher dimensions. In the latter case we encounter Calabi-Yau manifolds. We also discuss how to compute these Feynman integrals.</td></tr> <tr><td class="formatRecordLabel"> Copyright/License </td><td style="padding-left:5px;">preprint: (License: <a href="http://arxiv.org/licenses/nonexclusive-distrib/1.0/">arXiv nonexclusive-distrib 1.0</a>)<br/>publication: (License: <a href="https://creativecommons.org/licenses/by/4.0">CC-BY-4.0</a>)</td></tr> </table> <br /><div style="max-width:1024px;margin:auto"><div style="overflow-x:auto;display:inline;width:100%;"><a href="/record/2920214/plots#0"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2920214/files/fig_feynman_Higgs_decay.png" title=" Examples of Feynman diagrams relevant to (from left to right): the decay of a Higgs boson, M{\o}ller scattering, gravitational waves and the Lamb shift." width="200px"/></a> <a href="/record/2920214/plots#1"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2920214/files/fig_feynman_Moller.png" title=" Examples of Feynman diagrams relevant to (from left to right): the decay of a Higgs boson, M{\o}ller scattering, gravitational waves and the Lamb shift." width="200px"/></a> <a href="/record/2920214/plots#2"><img style="vertical-align:middle;" src="https://cds.cern.ch/record/2920214/files/fig_feynman_H_graph.png" title=" Examples of Feynman diagrams relevant to (from left to right): the decay of a Higgs boson, M{\o}ller scattering, gravitational waves and the Lamb shift." width="200px"/></a> <a href='/record/2920214/plots'>Show more plots</a></div></div><br /> <br/>Corresponding record in: <a href="http://inspirehep.net/record/2746308">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"> Zapis kreiran 2024-12-18, zadnja izmjena 2025-01-24</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=hr&p=recid%3A2920214&rm=wrd" class="moreinfo">Slični zapisi</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">Cjeloviti tekst:</small> <br /><em>2401.06360</em> - <a href="/record/2920214/files/2401.06360.pdf"><img style="border:none" src="/img/file-icon-text-12x16.gif" alt="Download fulltext"/>PDF</a><br /><em>document</em> - <a href="/record/2920214/files/document.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=hr&recid=2920214">Add to personal basket</a></li> <li>Export as <a style="text-decoration:underline;font-weight:normal" href="/record/2920214/export/hx?ln=hr">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2920214/export/hm?ln=hr">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2920214/export/xm?ln=hr">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2920214/export/xd?ln=hr">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2920214/export/xe?ln=hr">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/2920214/export/xn?ln=hr">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2920214/export/xw?ln=hr">RefWorks</a> </li> </ul> <div style='padding-left: 13px;'>  <div id="bookmark"></div> <div id="bookmark_sciencewise"></div> <style type="text/css"> #bookmark_sciencewise, #bookmark {float: left;} #bookmark_sciencewise li {padding: 2px; 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The central theme is the geometry associated to a given Feynman integral. In the simplest case, this is a complex curve of genus zero (aka the Riemann sphere). In this article, we discuss Feynman integrals related to more complicated geometries such as curves of higher genus or manifolds of higher dimensions. In the latter case, we encounter Calabi\u2013Yau manifolds. 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