6533b858fe1ef96bd12b5a19
RESEARCH PRODUCT
The H-graph with equal masses in terms of multiple polylogarithms
Philipp Alexander KreerStefan Weinzierlsubject
PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsPure mathematics010308 nuclear & particles physicsGravitational wavePhysicsQC1-999Process (computing)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Initial phase0103 physical sciencesArbitrary-precision arithmeticGraph (abstract data type)Order (group theory)Binary systemPerturbation theory (quantum mechanics)010306 general physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-08-01 |