Feynman integrals for binary systems of black holes

Philipp Alexander Kreer; Robert Runkel; Stefan Weinzierl

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arXiv · 2110.15654

Feynman integrals for binary systems of black holes

Philipp Alexander Kreer·Robert Runkel·Stefan Weinzierl

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Abstract

The initial phase of the inspiral process of a binary black-hole system can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph, contributes. In this talk we report how all master integrals of the H-graph with equal masses can be expressed up to weight four in terms of multiple polylogarithms. We also discuss techniques for the unequal mass case. The essential complication (and the focus of the talk) is the occurrence of several square roots.

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Philipp Alexander Kreer, Robert Runkel, Stefan Weinzierl. 2021-10-29. Feynman integrals for binary systems of black holes. https://arxiv.org/abs/2110.15654

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