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

DOI10.1063/1.4944722zbMATH Open1333.81283arXiv1512.05630OpenAlexW3099140248MaRDI QIDQ2798684

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Publication date: 13 April 2016

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1512.05630

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