N3LO gravitational quadratic-in-spin interactions at G 4
Abstract We compute the N3LO gravitational quadratic-in-spin interactions at G 4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the 5PN order for maximally-spinning compact objects, adding the s...
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2021-07-01
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Online Access: | https://doi.org/10.1007/JHEP07(2021)116 |
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doaj-7b4657d331eb4874969d917f3b8224062021-07-18T11:50:29ZengSpringerOpenJournal of High Energy Physics1029-84792021-07-012021711810.1007/JHEP07(2021)116N3LO gravitational quadratic-in-spin interactions at 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 We compute the N3LO gravitational quadratic-in-spin interactions at G 4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the 5PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worldline picture, and rely on our recent upgrade of the EFTofPNG code, which we further extend to handle this sector. Similar to the spin-orbit sector, we find that the contributing three-loop graphs give rise to divergences, logarithms, and transcendental numbers. However, in this sector all of these features conspire to cancel out from the final result, which contains only finite rational terms.https://doi.org/10.1007/JHEP07(2021)116Classical Theories of GravityEffective Field TheoriesRenormalization Regularization and RenormalonsScattering Amplitudes |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Michèle Levi Andrew J. McLeod Matthew von Hippel |
spellingShingle |
Michèle Levi Andrew J. McLeod Matthew von Hippel N3LO gravitational quadratic-in-spin interactions at G 4 Journal of High Energy Physics Classical Theories of Gravity Effective Field Theories Renormalization Regularization and Renormalons Scattering Amplitudes |
author_facet |
Michèle Levi Andrew J. McLeod Matthew von Hippel |
author_sort |
Michèle Levi |
title |
N3LO gravitational quadratic-in-spin interactions at G 4 |
title_short |
N3LO gravitational quadratic-in-spin interactions at G 4 |
title_full |
N3LO gravitational quadratic-in-spin interactions at G 4 |
title_fullStr |
N3LO gravitational quadratic-in-spin interactions at G 4 |
title_full_unstemmed |
N3LO gravitational quadratic-in-spin interactions at G 4 |
title_sort |
n3lo gravitational quadratic-in-spin interactions at g 4 |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-07-01 |
description |
Abstract We compute the N3LO gravitational quadratic-in-spin interactions at G 4 in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the 5PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worldline picture, and rely on our recent upgrade of the EFTofPNG code, which we further extend to handle this sector. Similar to the spin-orbit sector, we find that the contributing three-loop graphs give rise to divergences, logarithms, and transcendental numbers. However, in this sector all of these features conspire to cancel out from the final result, which contains only finite rational terms. |
topic |
Classical Theories of Gravity Effective Field Theories Renormalization Regularization and Renormalons Scattering Amplitudes |
url |
https://doi.org/10.1007/JHEP07(2021)116 |
work_keys_str_mv |
AT michelelevi n3logravitationalquadraticinspininteractionsatg4 AT andrewjmcleod n3logravitationalquadraticinspininteractionsatg4 AT matthewvonhippel n3logravitationalquadraticinspininteractionsatg4 |
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1721295796654047232 |