Resummed spinning waveforms from five-point amplitudes
Abstract We compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. Using this five-point amplitude, we then turn to the computation of the leading-order time-domain gravitational waveform. The method we descr...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2024)026 |
| _version_ | 1797276152755126272 |
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| author | Andreas Brandhuber Graham R. Brown Gang Chen Joshua Gowdy Gabriele Travaglini |
| author_facet | Andreas Brandhuber Graham R. Brown Gang Chen Joshua Gowdy Gabriele Travaglini |
| author_sort | Andreas Brandhuber |
| collection | DOAJ |
| description | Abstract We compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. Using this five-point amplitude, we then turn to the computation of the leading-order time-domain gravitational waveform. The method we describe is suitable for arbitrary values of classical spin of Kerr black holes and does not require any expansion in powers of the spin. In this paper we illustrate it in the simpler case of the scattering of one Kerr and one Schwarzschild black hole. An important ingredient of our calculation is a novel form of the Compton amplitude with spinning particles including contact terms derived from matching to black-hole perturbation theory calculations. This ensures that our waveform is valid up to at least fourth order in the spin. Our method can be applied immediately to generate improved waveforms once higher-order contact terms in the Compton amplitude become available. Finally, we show the formula for the gravitational memory to all orders in the spin, which is in agreement with our results. |
| first_indexed | 2024-03-07T15:24:13Z |
| format | Article |
| id | doaj.art-c56bddf002424d03be81a6383f2bb8d2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-07T15:24:13Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c56bddf002424d03be81a6383f2bb8d22024-03-05T17:28:05ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024214710.1007/JHEP02(2024)026Resummed spinning waveforms from five-point amplitudesAndreas Brandhuber0Graham R. Brown1Gang Chen2Joshua Gowdy3Gabriele Travaglini4Centre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonNiels Bohr International Academy, Niels Bohr Institute, University of CopenhagenCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract We compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. Using this five-point amplitude, we then turn to the computation of the leading-order time-domain gravitational waveform. The method we describe is suitable for arbitrary values of classical spin of Kerr black holes and does not require any expansion in powers of the spin. In this paper we illustrate it in the simpler case of the scattering of one Kerr and one Schwarzschild black hole. An important ingredient of our calculation is a novel form of the Compton amplitude with spinning particles including contact terms derived from matching to black-hole perturbation theory calculations. This ensures that our waveform is valid up to at least fourth order in the spin. Our method can be applied immediately to generate improved waveforms once higher-order contact terms in the Compton amplitude become available. Finally, we show the formula for the gravitational memory to all orders in the spin, which is in agreement with our results.https://doi.org/10.1007/JHEP02(2024)026Scattering AmplitudesBlack HolesClassical Theories of Gravity |
| spellingShingle | Andreas Brandhuber Graham R. Brown Gang Chen Joshua Gowdy Gabriele Travaglini Resummed spinning waveforms from five-point amplitudes Journal of High Energy Physics Scattering Amplitudes Black Holes Classical Theories of Gravity |
| title | Resummed spinning waveforms from five-point amplitudes |
| title_full | Resummed spinning waveforms from five-point amplitudes |
| title_fullStr | Resummed spinning waveforms from five-point amplitudes |
| title_full_unstemmed | Resummed spinning waveforms from five-point amplitudes |
| title_short | Resummed spinning waveforms from five-point amplitudes |
| title_sort | resummed spinning waveforms from five point amplitudes |
| topic | Scattering Amplitudes Black Holes Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP02(2024)026 |
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