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...

Full description

Saved in:
Bibliographic Details
Main Author: Alex Edison
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2025)016
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1823863424791085056
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