TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.7.023
TI  - Feynman integrals for binary systems of black holes
PY  - 2022/06/21
UR  - https://scipost.org/SciPostPhysProc.7.023
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 7
SP  - 023
A1  - Kreer, Philipp Alexander
AU  - Runkel, Robert
AU  - Weinzierl, Stefan
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysProc.7.023,
	title={{Feynman integrals for binary systems of black holes}},
	author={Philipp Alexander Kreer and Robert Runkel and Stefan Weinzierl},
	journal={SciPost Phys. Proc.},
	pages={023},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.7.023},
	url={https://scipost.org/10.21468/SciPostPhysProc.7.023},
}