Scattering in black hole backgrounds and higher-spin amplitudes. Part I

Bautista, Yilber Fabian; Guevara, Alfredo; Kavanagh, Chris; Vines, Justin

doi:10.1007/jhep03(2023)136

Scattering in black hole backgrounds and higher-spin amplitudes. Part I

Journal Article · Mon Mar 20 00:00:00 EDT 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2023)136· OSTI ID:2417689

^[1]; Guevara, Alfredo ^[2]; Kavanagh, Chris ^[3]; Vines, Justin ^[3]

Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); York Univ., Toronto, ON (Canada); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Harvard Univ., Cambridge, MA (United States)
Max Planck Institute for Gravitational Physics, Potsdam (Germany)

The scattering of massless waves of helicity |$$h$$| = $$0$$, $$\frac{1}{2}$$, $$1$$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelength regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we compute classical wave scattering in terms of 2 → 2 QFT amplitudes in flat space, to all orders in spin. The results are Newman-Penrose amplitudes which are in direct correspondence with solutions of the Regge-Wheeler/Teukolsky equation. By introducing a precise prescription for the point-particle limit, in Part I of this work we show how both agree for $$h$$ = 0 at finite values of the scattering angle and arbitrary spin orientation. Associated classical observables such as the scattering cross sections, wave polarizations and time delay are studied at all orders in spin. The effect of the spin of the black hole on the polarization and helicity of the waves is found in agreement with previous analysis at linear order in spin. In the particular limit of small scattering angle, we argue that wave scattering admits a universal, point-particle description determined by the eikonal approximation. We show how our results recover the scattering eikonal phase with spin up to second post-Minkowskian order, and match it to the effective action of null geodesics in a Kerr background. Using this correspondence we derive classical observables such as polar and equatorial scattering angles. This study serves as a preceding analysis to Part II, where the Gravitational Wave ($$h$$ = 2) case will be studied in detail.

View Accepted Manuscript (DOE)

Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: Natural Sciences and Engineering Research Council of Canada (NSERC); USDOE Office of Science (SC)

Grant/Contract Number:: SC0007870

OSTI ID:: 2417689

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach Kälin, Gregor; Liu, Zhengwen; Porto, Rafael A. Physical Review Letters, Vol. 125, Issue 26 https://doi.org/10.1103/PhysRevLett.125.261103	journal	December 2020
Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory Jakobsen, Gustav Uhre; Mogull, Gustav; Plefka, Jan Physical Review Letters, Vol. 126, Issue 20 https://doi.org/10.1103/PhysRevLett.126.201103	journal	May 2021
Gravitational Bremsstrahlung from Reverse Unitarity Herrmann, Enrico; Parra-Martinez, Julio; Ruf, Michael S. Physical Review Letters, Vol. 126, Issue 20 https://doi.org/10.1103/PhysRevLett.126.201602	journal	May 2021
Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies Jakobsen, Gustav Uhre; Mogull, Gustav; Plefka, Jan Physical Review Letters, Vol. 128, Issue 1 https://doi.org/10.1103/PhysRevLett.128.011101	journal	January 2022
Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic Perturbations Teukolsky, Saul A. Physical Review Letters, Vol. 29, Issue 16 https://doi.org/10.1103/PhysRevLett.29.1114	journal	October 1972
Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions Amati, D.; Ciafaloni, M.; Veneziano, G. International Journal of Modern Physics A, Vol. 03, Issue 07 https://doi.org/10.1142/S0217751X88000710	journal	July 1988
Gravity as a double copy of gauge theory: from amplitudes to black holes Monteiro, Ricardo; O'Connell, Donal; White, Chris D. International Journal of Modern Physics D, Vol. 24, Issue 09 https://doi.org/10.1142/S0218271815420080	journal	July 2015
Analytic Black Hole Perturbation Approach to Gravitational Radiation Sasaki, Misao; Tagoshi, Hideyuki Living Reviews in Relativity, Vol. 6, Issue 1 https://doi.org/10.12942/lrr-2003-6	journal	November 2003

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79 ASTRONOMY AND ASTROPHYSICS
Black Holes
Classical Theories of Gravity
Higher Spin Gravity
Physics
Scattering Amplitudes

Scattering in black hole backgrounds and higher-spin amplitudes. Part I

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