Luise Adams, Christian Bogner, Stefan Weinzierl
Published 2015-12-17Version 1
We present a method to compute the Laurent expansion of the two-loop sunrise integral with equal non-zero masses to arbitrary order in the dimensional regularisation $\varepsilon$. This is done by introducing a class of functions (generalisations of multiple polylogarithms to include the elliptic case) and by showing that all integrations can be carried out within this class of functions.
The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case
The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
Sunrise integral in non-relativistic QCD with elliptics
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