The H-graph with equal masses in terms of multiple polylogarithms
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 ha...
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Elsevier
2021-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269321003452 |
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doaj-31af746b4ef744dbbd6d2699fa58d4302021-07-25T04:40:57ZengElsevierPhysics Letters B0370-26932021-08-01819136405The H-graph with equal masses in terms of multiple polylogarithmsPhilipp Alexander Kreer0Stefan Weinzierl1PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz, D - 55099 Mainz, GermanyCorresponding author.; PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität Mainz, D - 55099 Mainz, GermanyThe 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.http://www.sciencedirect.com/science/article/pii/S0370269321003452 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Philipp Alexander Kreer Stefan Weinzierl |
| spellingShingle |
Philipp Alexander Kreer Stefan Weinzierl The H-graph with equal masses in terms of multiple polylogarithms Physics Letters B |
| author_facet |
Philipp Alexander Kreer Stefan Weinzierl |
| author_sort |
Philipp Alexander Kreer |
| title |
The H-graph with equal masses in terms of multiple polylogarithms |
| title_short |
The H-graph with equal masses in terms of multiple polylogarithms |
| title_full |
The H-graph with equal masses in terms of multiple polylogarithms |
| title_fullStr |
The H-graph with equal masses in terms of multiple polylogarithms |
| title_full_unstemmed |
The H-graph with equal masses in terms of multiple polylogarithms |
| title_sort |
h-graph with equal masses in terms of multiple polylogarithms |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 |
| publishDate |
2021-08-01 |
| description |
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. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269321003452 |
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