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arXiv · 1302.7004

The two-loop sunrise graph with arbitrary masses

Luise Adams·Christian Bogner·Stefan Weinzierl
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Abstract

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.

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Luise Adams, Christian Bogner, Stefan Weinzierl. 2013-02-27. The two-loop sunrise graph with arbitrary masses. https://doi.org/10.1063/1.4804996

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