{"title":"Beyond a single elliptic curve","authors":"Hildegard Muller, S. Weinzierl","doi":"10.22323/1.416.0040","DOIUrl":null,"url":null,"abstract":"In this talk we discuss the interplay of two elliptic curves, which occur in different sub-sectors of Feynman integrals. We analyse a particular Feynman integral depending on two elliptic curves and derive an associated differential equation in 𝜀 -form. We discuss the mixed entries of the differential equation, which depend on both elliptic curves.","PeriodicalId":151433,"journal":{"name":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","volume":"67 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.416.0040","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this talk we discuss the interplay of two elliptic curves, which occur in different sub-sectors of Feynman integrals. We analyse a particular Feynman integral depending on two elliptic curves and derive an associated differential equation in 𝜀 -form. We discuss the mixed entries of the differential equation, which depend on both elliptic curves.