Luise Adams, Christian Bogner, Stefan Weinzierl
Published 2013-02-27Version 1
We discuss the analytical solution of the two-loop sunrise graph with arbitrary non-zero masses in two space-time dimensions. The analytical result is obtained by solving a second-order differential equation. The solution involves elliptic integrals and in particular the solutions of the corresponding homogeneous differential equation are given by periods of an elliptic curve.
A second-order differential equation for the two-loop sunrise graph with arbitrary masses
The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
From elliptic curves to Feynman integrals
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