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arXiv · 1512.05630

The iterated structure of the all-order result for the two-loop sunrise integral

Luise Adams·Christian Bogner·Stefan Weinzierl
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Abstract

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.

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Luise Adams, Christian Bogner, Stefan Weinzierl. 2016-03-12. The iterated structure of the all-order result for the two-loop sunrise integral. https://doi.org/10.1063/1.4944722

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