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  • 标题:From elliptic curves to Feynman integrals
  • 本地全文:下载
  • 作者:L.Adams ; E.Chaubey ; S.Weinzierl
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2018
  • 卷号:303
  • DOI:10.22323/1.303.0069
  • 语种:English
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:In this talk we discuss Feynman integrals which are related to elliptic curves. We show with the help of an explicit example that in the set of master integrals more than one elliptic curve may occur. The technique of maximal cuts is a useful tool to identify the elliptic curves. By a suitable transformation of the master integrals the system of differential equations for our example can be brought into a form linear in $\varepsilon$, where the $\varepsilon^0$-term is strictly lower-triangular. This system is easily solved in terms of iterated integrals.
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