N3LO gravitational spin-orbit coupling at order G 4
Abstract In this paper we derive for the first time the N3LO gravitational spin-orbit coupling at order G 4 in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2021)115 |
| _version_ | 1819155597486981120 |
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| author | Michèle Levi Andrew J. McLeod Matthew von Hippel |
| author_facet | Michèle Levi Andrew J. McLeod Matthew von Hippel |
| author_sort | Michèle Levi |
| collection | DOAJ |
| description | Abstract In this paper we derive for the first time the N3LO gravitational spin-orbit coupling at order G 4 in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order G 4. Our computation makes use of the publicly-available EFTofPNG code, which is extended using loop-integration techniques from particle amplitudes. We provide the results for each of the Feynman diagrams in this sector. The three-loop graphs in the worldline picture give rise to new features in the spinning sector, including divergent terms and logarithms from dimensional regularization, as well as transcendental numbers, all of which survive in the final result of the topologies at this order. This result enters at the 4.5PN order for maximally-rotating compact objects, and together with previous work in this line, paves the way for the completion of this PN accuracy. |
| first_indexed | 2024-12-22T15:39:30Z |
| format | Article |
| id | doaj.art-ca7fa26aff244220bce29f7d42fcfb69 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T15:39:30Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ca7fa26aff244220bce29f7d42fcfb692022-12-21T18:21:10ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021712710.1007/JHEP07(2021)115N3LO gravitational spin-orbit coupling at order G 4Michèle Levi0Andrew J. McLeod1Matthew von Hippel2Niels Bohr International Academy, Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy, Niels Bohr Institute, University of CopenhagenNiels Bohr International Academy, Niels Bohr Institute, University of CopenhagenAbstract In this paper we derive for the first time the N3LO gravitational spin-orbit coupling at order G 4 in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order G 4. Our computation makes use of the publicly-available EFTofPNG code, which is extended using loop-integration techniques from particle amplitudes. We provide the results for each of the Feynman diagrams in this sector. The three-loop graphs in the worldline picture give rise to new features in the spinning sector, including divergent terms and logarithms from dimensional regularization, as well as transcendental numbers, all of which survive in the final result of the topologies at this order. This result enters at the 4.5PN order for maximally-rotating compact objects, and together with previous work in this line, paves the way for the completion of this PN accuracy.https://doi.org/10.1007/JHEP07(2021)115Classical Theories of GravityEffective Field TheoriesRenormalization Regularization and RenormalonsScattering Amplitudes |
| spellingShingle | Michèle Levi Andrew J. McLeod Matthew von Hippel N3LO gravitational spin-orbit coupling at order G 4 Journal of High Energy Physics Classical Theories of Gravity Effective Field Theories Renormalization Regularization and Renormalons Scattering Amplitudes |
| title | N3LO gravitational spin-orbit coupling at order G 4 |
| title_full | N3LO gravitational spin-orbit coupling at order G 4 |
| title_fullStr | N3LO gravitational spin-orbit coupling at order G 4 |
| title_full_unstemmed | N3LO gravitational spin-orbit coupling at order G 4 |
| title_short | N3LO gravitational spin-orbit coupling at order G 4 |
| title_sort | n3lo gravitational spin orbit coupling at order g 4 |
| topic | Classical Theories of Gravity Effective Field Theories Renormalization Regularization and Renormalons Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP07(2021)115 |
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