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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2021
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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) |
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Classical Theories of Gravity Scattering Amplitudes Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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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 |
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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 |
_version_ |
1718429052324282368 |