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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2021)087 |
| _version_ | 1818406410176692224 |
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| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-14T09:11:30Z |
| format | Article |
| id | doaj.art-68a97c2f29134467b1256c86562fb2ef |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T09:11:30Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-68a97c2f29134467b1256c86562fb2ef2022-12-21T23:08:32ZengSpringerOpenJournal of High Energy Physics1029-84792021-11-0120211113610.1007/JHEP11(2021)087Scattering amplitudes for binary systems beyond GRMariana Carrillo González0Claudia de Rham1Andrew J. Tolley2Theoretical Physics, Imperial College LondonTheoretical Physics, Imperial College LondonTheoretical Physics, Imperial College LondonAbstract 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.https://doi.org/10.1007/JHEP11(2021)087Classical Theories of GravityScattering AmplitudesEffective Field Theories |
| spellingShingle | Mariana Carrillo González Claudia de Rham Andrew J. Tolley Scattering amplitudes for binary systems beyond GR Journal of High Energy Physics Classical Theories of Gravity Scattering Amplitudes Effective Field Theories |
| title | 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_short | Scattering amplitudes for binary systems beyond GR |
| title_sort | scattering amplitudes for binary systems beyond gr |
| topic | Classical Theories of Gravity Scattering Amplitudes Effective Field Theories |
| url | https://doi.org/10.1007/JHEP11(2021)087 |
| work_keys_str_mv | AT marianacarrillogonzalez scatteringamplitudesforbinarysystemsbeyondgr AT claudiaderham scatteringamplitudesforbinarysystemsbeyondgr AT andrewjtolley scatteringamplitudesforbinarysystemsbeyondgr |