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Classical Gravitational Spinning-Spinless Scattering at O(G²S^∞)

Aoude, Rafael and Haddad, Kays and Helset, Andreas (2022) Classical Gravitational Spinning-Spinless Scattering at O(G²S^∞). Physical Review Letters, 129 (14). Art. No. 141102. ISSN 0031-9007. doi:10.1103/physrevlett.129.141102.

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Making use of the recently derived, all-spin, opposite-helicity Compton amplitude, we calculate the classical gravitational scattering amplitude for one spinning and one spinless object at O(G²) and all orders in spin. By construction, this amplitude exhibits the spin structure that has been conjectured to describe Kerr black holes. This spin structure alone is not enough to fix all deformations of the Compton amplitude by contact terms, but when combined with considerations of the ultrarelativistic limit we can uniquely assign values to the parameters remaining in the even-in-spin sector. Once these parameters are determined, much of the spin dependence of the amplitude resums into hypergeometric functions. Finally, we derive the eikonal phase for aligned-angular-momentum scattering.

Item Type:Article
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URLURL TypeDescription
Aoude, Rafael0000-0001-9259-9257
Haddad, Kays0000-0002-1182-2750
Helset, Andreas0000-0002-5904-3748
Additional Information:Four-vector manipulations were performed using feyncalc [83–85]. We thank Clifford Cheung for insightful discussions. We are grateful to Justin Vines for comments on this manuscript. R. A.’s research is funded by the F.R.S-FNRS project no. 40005600. R. A. wishes to thank the Mani L. Bhaumik Institute for their hospitality. K. H. is supported by the Knut and Alice Wallenberg Foundation under grant KAW 2018.0116 (From Scattering Amplitudes to Gravitational Waves) and the Ragnar Söderberg Foundation (Swedish Foundations’ Starting Grant). K. H. is grateful to Nordita for their hospitality. A. H. is supported by the DOE under Award No. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Fonds de la Recherche Scientifique (FNRS)40005600
Knut and Alice Wallenberg FoundationKAW 2018.0116
Ragnar Söderberg FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:14
Record Number:CaltechAUTHORS:20230117-370045500.19
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:118825
Deposited By: Research Services Depository
Deposited On:10 Feb 2023 19:42
Last Modified:10 Feb 2023 19:42

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