The iterated structure of the all-order result for the two-loop sunrise integral
High Energy Physics - Phenomenology
2016-04-20 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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 . 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.
Keywords
Cite
@article{arxiv.1512.05630,
title = {The iterated structure of the all-order result for the two-loop sunrise integral},
author = {Luise Adams and Christian Bogner and Stefan Weinzierl},
journal= {arXiv preprint arXiv:1512.05630},
year = {2016}
}
Comments
20 pages, v2: version to be published