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arXiv · 1510.02048

The sunrise integral around two and four space-time dimensions in terms of elliptic polylogarithms

Luise Adams·Christian Bogner·Stefan Weinzierl
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Abstract

In this talk we discuss the solution for the sunrise integral around two and four space-time dimensions in terms of a generalised elliptic version of the multiple polylogarithms. In two space-time dimensions we obtain a sum of three elliptic dilogarithms. The arguments of the elliptic dilogarithms have a nice geometric interpretation. In four space-time dimensions the sunrise integral can be expressed with the $\epsilon^0$- and $\epsilon^1$-solution around two dimensions, mass derivatives thereof and simpler terms.

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Luise Adams, Christian Bogner, Stefan Weinzierl. 2015-10-07. The sunrise integral around two and four space-time dimensions in terms of elliptic polylogarithms. https://doi.org/10.5506/aphyspolb.46.2131

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