One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory
Abstract Using a heavy-mass effective field theory (HEFT), we study gravitational-wave emission in the scattering of two spinless black holes or neutron stars of arbitrary masses at next-to-leading order in the Post-Minkowskian expansion. We compute the contributions to the one-loop scattering ampli...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)048 |
| _version_ | 1797675837415227392 |
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| author | Andreas Brandhuber Graham R. Brown Gang Chen Stefano De Angelis Joshua Gowdy Gabriele Travaglini |
| author_facet | Andreas Brandhuber Graham R. Brown Gang Chen Stefano De Angelis Joshua Gowdy Gabriele Travaglini |
| author_sort | Andreas Brandhuber |
| collection | DOAJ |
| description | Abstract Using a heavy-mass effective field theory (HEFT), we study gravitational-wave emission in the scattering of two spinless black holes or neutron stars of arbitrary masses at next-to-leading order in the Post-Minkowskian expansion. We compute the contributions to the one-loop scattering amplitude with four scalars and one graviton which are relevant to the calculation of the waveforms, also presenting expressions of classical tree-level amplitudes with four scalars and up to two radiated gravitons. The latter are obtained using a novel on-shell recursion relation for classical amplitudes with four scalars and an arbitrary number of gravitons. Our one-loop five-point amplitude is expressed in terms of a single family of master integrals with the principal value prescription for linearised massive propagators, which we evaluate using differential equations. In our HEFT approach, soft/heavy-mass expansions of complete integrands are avoided, and all hyper-classical iterations and quantum corrections are dropped at the diagrammatic level, thereby computing directly contributions to classical physics. Our result exhibits the expected factorisation of infrared divergences, the correct soft limits, and highly nontrivial cancellations of spurious poles. Finally, using our amplitude result we compute numerically the corresponding next-to-leading corrections to the spectral waveforms and the far-field time-domain waveforms using the Newman-Penrose scalar Ψ4. |
| first_indexed | 2024-03-11T22:20:28Z |
| format | Article |
| id | doaj.art-f979cd3f07c94f23b74deeb993d0406a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:20:28Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f979cd3f07c94f23b74deeb993d0406a2023-09-24T11:06:54ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023617110.1007/JHEP06(2023)048One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theoryAndreas Brandhuber0Graham R. Brown1Gang Chen2Stefano De Angelis3Joshua Gowdy4Gabriele Travaglini5Centre 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 CopenhagenInstitut de Physique Théorique, CEA, CNRS, Université Paris-SaclayCentre 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 Using a heavy-mass effective field theory (HEFT), we study gravitational-wave emission in the scattering of two spinless black holes or neutron stars of arbitrary masses at next-to-leading order in the Post-Minkowskian expansion. We compute the contributions to the one-loop scattering amplitude with four scalars and one graviton which are relevant to the calculation of the waveforms, also presenting expressions of classical tree-level amplitudes with four scalars and up to two radiated gravitons. The latter are obtained using a novel on-shell recursion relation for classical amplitudes with four scalars and an arbitrary number of gravitons. Our one-loop five-point amplitude is expressed in terms of a single family of master integrals with the principal value prescription for linearised massive propagators, which we evaluate using differential equations. In our HEFT approach, soft/heavy-mass expansions of complete integrands are avoided, and all hyper-classical iterations and quantum corrections are dropped at the diagrammatic level, thereby computing directly contributions to classical physics. Our result exhibits the expected factorisation of infrared divergences, the correct soft limits, and highly nontrivial cancellations of spurious poles. Finally, using our amplitude result we compute numerically the corresponding next-to-leading corrections to the spectral waveforms and the far-field time-domain waveforms using the Newman-Penrose scalar Ψ4.https://doi.org/10.1007/JHEP06(2023)048Scattering AmplitudesEffective Field TheoriesClassical Theories of Gravity |
| spellingShingle | Andreas Brandhuber Graham R. Brown Gang Chen Stefano De Angelis Joshua Gowdy Gabriele Travaglini One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory Journal of High Energy Physics Scattering Amplitudes Effective Field Theories Classical Theories of Gravity |
| title | One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory |
| title_full | One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory |
| title_fullStr | One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory |
| title_full_unstemmed | One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory |
| title_short | One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory |
| title_sort | one loop gravitational bremsstrahlung and waveforms from a heavy mass effective field theory |
| topic | Scattering Amplitudes Effective Field Theories Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP06(2023)048 |
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