A Feynman integral depending on two elliptic curves

Abstract

We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an $\epsilon$-form. We study the entries of the differential equation, and in particular the entries which depend on both elliptic curves.

Comments: 41 pages, v2: version to be published