Scattering amplitudes for binary systems beyond GR

Abstract Amplitude methods have proven to be a promising technique to perform Post-Minkowskian calculations used as inputs to construct gravitational waveforms. In this paper, we show how these methods can be extended beyond the standard calculations in General Relativity with a minimal coupling to...

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Autores principales: Mariana Carrillo González, Claudia de Rham, Andrew J. Tolley
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Lenguaje:EN
Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/68a97c2f29134467b1256c86562fb2ef
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spelling oai:doaj.org-article:68a97c2f29134467b1256c86562fb2ef2021-11-14T12:41:14ZScattering amplitudes for binary systems beyond GR10.1007/JHEP11(2021)0871029-8479https://doaj.org/article/68a97c2f29134467b1256c86562fb2ef2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)087https://doaj.org/toc/1029-8479Abstract Amplitude methods have proven to be a promising technique to perform Post-Minkowskian calculations used as inputs to construct gravitational waveforms. In this paper, we show how these methods can be extended beyond the standard calculations in General Relativity with a minimal coupling to matter. As proof of principle, we consider spinless particles conformally coupled to a gravitational helicity-0 mode. We clarify the subtleties in the matching procedure that lead to the potential for conformally coupled matter. We show that in the probe particle limit, we can reproduce well known results for the field profile. With the scattering amplitudes at hand, we compute the conservative potential and scattering angle for the binary system. We find that the result is a non trivial expansion that involves not only the coupling strengths, but also a non trivial dependence on the energy/momentum of the scattered particles.Mariana Carrillo GonzálezClaudia de RhamAndrew J. TolleySpringerOpenarticleClassical Theories of GravityScattering AmplitudesEffective Field TheoriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-36 (2021)
institution DOAJ
collection DOAJ
language EN
topic Classical Theories of Gravity
Scattering Amplitudes
Effective Field Theories
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Classical Theories of Gravity
Scattering Amplitudes
Effective Field Theories
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Mariana Carrillo González
Claudia de Rham
Andrew J. Tolley
Scattering amplitudes for binary systems beyond GR
description Abstract Amplitude methods have proven to be a promising technique to perform Post-Minkowskian calculations used as inputs to construct gravitational waveforms. In this paper, we show how these methods can be extended beyond the standard calculations in General Relativity with a minimal coupling to matter. As proof of principle, we consider spinless particles conformally coupled to a gravitational helicity-0 mode. We clarify the subtleties in the matching procedure that lead to the potential for conformally coupled matter. We show that in the probe particle limit, we can reproduce well known results for the field profile. With the scattering amplitudes at hand, we compute the conservative potential and scattering angle for the binary system. We find that the result is a non trivial expansion that involves not only the coupling strengths, but also a non trivial dependence on the energy/momentum of the scattered particles.
format article
author Mariana Carrillo González
Claudia de Rham
Andrew J. Tolley
author_facet Mariana Carrillo González
Claudia de Rham
Andrew J. Tolley
author_sort Mariana Carrillo González
title Scattering amplitudes for binary systems beyond GR
title_short Scattering amplitudes for binary systems beyond GR
title_full Scattering amplitudes for binary systems beyond GR
title_fullStr Scattering amplitudes for binary systems beyond GR
title_full_unstemmed Scattering amplitudes for binary systems beyond GR
title_sort scattering amplitudes for binary systems beyond gr
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/68a97c2f29134467b1256c86562fb2ef
work_keys_str_mv AT marianacarrillogonzalez scatteringamplitudesforbinarysystemsbeyondgr
AT claudiaderham scatteringamplitudesforbinarysystemsbeyondgr
AT andrewjtolley scatteringamplitudesforbinarysystemsbeyondgr
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