Parting gravity’s tail: quadrupole tails at fifth order and beyond via integer partitions
Abstract This work studies the systematic organization of higher-order gravitational quadrupole tails using generalized unitarity methods imported from the study of scattering amplitudes. The first major result is a constructive algorithm for generic arbitrary-order tail effective actions which link...
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2025-02-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP02(2025)016 |
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author | Alex Edison |
author_facet | Alex Edison |
author_sort | Alex Edison |
collection | DOAJ |
description | Abstract This work studies the systematic organization of higher-order gravitational quadrupole tails using generalized unitarity methods imported from the study of scattering amplitudes. The first major result is a constructive algorithm for generic arbitrary-order tail effective actions which links the structure of their loop integral basis expansion with integer partitions, and predicts that only a single new unitarity cut needs to be evaluated at each tail order with all other contributions given in terms of lower-loop data. The algorithm is employed to compute the tail-of-tail-of-tail-of-tail-of-tail (T5) contributions to the effective action and associated energy loss to gravitational waves. Validation of the new effective action and radiated energy is done through counterterm extraction and renormalization analysis, leading to complete agreement with known counterterms and renormalization flow equations. |
format | Article |
id | doaj-art-6bc711755f194293b90492b0134c7f21 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2025-02-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-6bc711755f194293b90492b0134c7f212025-02-09T12:08:41ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025212310.1007/JHEP02(2025)016Parting gravity’s tail: quadrupole tails at fifth order and beyond via integer partitionsAlex Edison0Department of Physics and Astronomy, Northwestern UniversityAbstract This work studies the systematic organization of higher-order gravitational quadrupole tails using generalized unitarity methods imported from the study of scattering amplitudes. The first major result is a constructive algorithm for generic arbitrary-order tail effective actions which links the structure of their loop integral basis expansion with integer partitions, and predicts that only a single new unitarity cut needs to be evaluated at each tail order with all other contributions given in terms of lower-loop data. The algorithm is employed to compute the tail-of-tail-of-tail-of-tail-of-tail (T5) contributions to the effective action and associated energy loss to gravitational waves. Validation of the new effective action and radiated energy is done through counterterm extraction and renormalization analysis, leading to complete agreement with known counterterms and renormalization flow equations.https://doi.org/10.1007/JHEP02(2025)016Classical Theories of GravityEffective Field TheoriesScattering AmplitudesRenormalization Group |
spellingShingle | Alex Edison Parting gravity’s tail: quadrupole tails at fifth order and beyond via integer partitions Journal of High Energy Physics Classical Theories of Gravity Effective Field Theories Scattering Amplitudes Renormalization Group |
title | Parting gravity’s tail: quadrupole tails at fifth order and beyond via integer partitions |
title_full | Parting gravity’s tail: quadrupole tails at fifth order and beyond via integer partitions |
title_fullStr | Parting gravity’s tail: quadrupole tails at fifth order and beyond via integer partitions |
title_full_unstemmed | Parting gravity’s tail: quadrupole tails at fifth order and beyond via integer partitions |
title_short | Parting gravity’s tail: quadrupole tails at fifth order and beyond via integer partitions |
title_sort | parting gravity s tail quadrupole tails at fifth order and beyond via integer partitions |
topic | Classical Theories of Gravity Effective Field Theories Scattering Amplitudes Renormalization Group |
url | https://doi.org/10.1007/JHEP02(2025)016 |
work_keys_str_mv | AT alexedison partinggravitystailquadrupoletailsatfifthorderandbeyondviaintegerpartitions |