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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2104.07488 |
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| _version_ | 1866917752678121472 |
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| author | Kreer, Philipp Alexander Weinzierl, Stefan |
| author_facet | Kreer, Philipp Alexander Weinzierl, Stefan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_07488 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The H-graph with equal masses in terms of multiple polylogarithms Kreer, Philipp Alexander Weinzierl, Stefan High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | The H-graph with equal masses in terms of multiple polylogarithms |
| topic | High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2104.07488 |