Dynamics of spinning binary at 2PM
Abstract We consider the covariant proposal for the gravitational Compton amplitude for a Kerr black hole. Employing the covariant three- and four-point Compton amplitudes, we assemble the classical one-loop integrand on the maximal cut at all orders in spin, utilizing the method of unitarity. Expan...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)213 |
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| author | Gang Chen Tianheng Wang |
| author_facet | Gang Chen Tianheng Wang |
| author_sort | Gang Chen |
| collection | DOAJ |
| description | Abstract We consider the covariant proposal for the gravitational Compton amplitude for a Kerr black hole. Employing the covariant three- and four-point Compton amplitudes, we assemble the classical one-loop integrand on the maximal cut at all orders in spin, utilizing the method of unitarity. Expanding in powers of spin, we evaluate the one-loop amplitude up to O G 2 a 8 $$ \mathcal{O}\left({G}^2{a}^8\right) $$ . Supplemented with extra contact contributions derived from the far-zone data of the Teukolsky solutions, the one-loop amplitude is in agreement with results available in the literature. We showcase the classical eikonal in the aligned-spin case at O G 2 a 7 $$ \mathcal{O}\left({G}^2{a}^7\right) $$ . |
| format | Article |
| id | doaj-art-e210ec4d059a4100b1772843d3462e22 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e210ec4d059a4100b1772843d3462e222025-01-12T12:05:51ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212810.1007/JHEP12(2024)213Dynamics of spinning binary at 2PMGang Chen0Tianheng Wang1Niels Bohr International Academy, Niels Bohr Institute, University of CopenhagenCenter for Theoretical Physics, Seoul National UniversityAbstract We consider the covariant proposal for the gravitational Compton amplitude for a Kerr black hole. Employing the covariant three- and four-point Compton amplitudes, we assemble the classical one-loop integrand on the maximal cut at all orders in spin, utilizing the method of unitarity. Expanding in powers of spin, we evaluate the one-loop amplitude up to O G 2 a 8 $$ \mathcal{O}\left({G}^2{a}^8\right) $$ . Supplemented with extra contact contributions derived from the far-zone data of the Teukolsky solutions, the one-loop amplitude is in agreement with results available in the literature. We showcase the classical eikonal in the aligned-spin case at O G 2 a 7 $$ \mathcal{O}\left({G}^2{a}^7\right) $$ .https://doi.org/10.1007/JHEP12(2024)213Scattering AmplitudesClassical Theories of GravityBlack HolesEffective Field Theories |
| spellingShingle | Gang Chen Tianheng Wang Dynamics of spinning binary at 2PM Journal of High Energy Physics Scattering Amplitudes Classical Theories of Gravity Black Holes Effective Field Theories |
| title | Dynamics of spinning binary at 2PM |
| title_full | Dynamics of spinning binary at 2PM |
| title_fullStr | Dynamics of spinning binary at 2PM |
| title_full_unstemmed | Dynamics of spinning binary at 2PM |
| title_short | Dynamics of spinning binary at 2PM |
| title_sort | dynamics of spinning binary at 2pm |
| topic | Scattering Amplitudes Classical Theories of Gravity Black Holes Effective Field Theories |
| url | https://doi.org/10.1007/JHEP12(2024)213 |
| work_keys_str_mv | AT gangchen dynamicsofspinningbinaryat2pm AT tianhengwang dynamicsofspinningbinaryat2pm |