The H-graph with equal masses in terms of multiple polylogarithms

Autor: Philipp Alexander Kreer, Stefan Weinzierl
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Physics Letters B, Vol 819, Iss , Pp 136405- (2021)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2021.136405
Popis: The initial phase of the inspiral process of a binary system producing gravitational waves can be described by perturbation theory. At the third post-Minkowskian order a two-loop double box graph, known as H-graph contributes. We consider the case where the two objects making up the binary system have equal masses. We express all master integrals related to the equal-mass H-graph up to weight four in terms of multiple polylogarithms. We provide a numerical program which evaluates all master integrals up to weight four in the physical regions with arbitrary precision.
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