The Hgraph with equal masses in terms of multiple polylogarithms
Abstract
The initial phase of the inspiral process of a binary system producing gravitational waves can be described by perturbation theory. At the third postMinkowskian order a twoloop double box graph, known as Hgraph 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 equalmass Hgraph 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.
 Publication:

Physics Letters B
 Pub Date:
 August 2021
 DOI:
 10.1016/j.physletb.2021.136405
 arXiv:
 arXiv:2104.07488
 Bibcode:
 2021PhLB..81936405K
 Keywords:

 High Energy Physics  Phenomenology;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 19 pages, v2: version to be published