arXiv:1510.03883·v1·High Energy Physics — Phenomenology
The Elliptic Sunrise
Luise Adams🇩🇪 · Christian Bogner🇩🇪 · Stefan Weinzierl🇩🇪
Abstract
In this talk, we discuss our recent computation of the two-loop sunrise integral with arbitrary non-zero particle masses. In two space-time dimensions, we arrive at a result in terms of elliptic dilogarithms. Near four space-time dimensions, we obtain a result which furthermore involves elliptic generalizations of Clausen and Glaisher functions.
Comments: talk at the Workshop on Multiple Zeta Values, Modular Forms and Elliptic Motives II, December 2014, ICMAT Madrid