{"title":"Numerical evaluation of multi-loop integrals","authors":"S. Jahn","doi":"10.22323/1.303.0019","DOIUrl":null,"url":null,"abstract":"We present updates on the development of pySecDec, a toolbox to numerically evaluate parameter integrals in the context of dimensional regularization. We discuss difficulties with loop integrals in the special kinematic condition where the squared momentum of a leg is equal to the squared mass of a propagator. We further discuss some features of a Quasi Monte Carlo (QMC) integrator that can optionally run on Graphics Processing Units (GPUs).","PeriodicalId":140132,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","volume":"355 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.303.0019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We present updates on the development of pySecDec, a toolbox to numerically evaluate parameter integrals in the context of dimensional regularization. We discuss difficulties with loop integrals in the special kinematic condition where the squared momentum of a leg is equal to the squared mass of a propagator. We further discuss some features of a Quasi Monte Carlo (QMC) integrator that can optionally run on Graphics Processing Units (GPUs).
我们介绍了pySecDec的最新发展,pySecDec是一个工具箱,用于在维度正则化的背景下对参数积分进行数值计算。我们讨论了在腿的平方动量等于传播体的平方质量的特殊运动学条件下的环积分的困难。我们进一步讨论了可以在图形处理单元(gpu)上选择性运行的Quasi Monte Carlo (QMC)积分器的一些特性。