A Feynman integral depending on two elliptic curves

preprint2022arXivOpen access

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 ε\varepsilon-form. We study the entries of the differential equation, and in particular the entries which depend on both elliptic curves.

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