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Gravitational Bremsstrahlung from Reverse Unitarity

Herrmann, Enrico and Parra-Martinez, Julio and Ruf, Michael S. and Zeng, Mao (2021) Gravitational Bremsstrahlung from Reverse Unitarity. . (Unpublished)

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We compute the total radiated momentum carried by gravitational waves during the scattering of two spinless black holes at the lowest order in Newton's constant, (G3), and all orders in velocity. By analytic continuation into the bound state regime, we obtain the (G3) energy loss in elliptic orbits. This provides an essential step towards the complete understanding of the third-post-Minkowskian binary dynamics. We employ the formalism of Kosower, Maybee, and O'Connell (KMOC) which relates classical observables to quantum scattering amplitudes and derive the relevant integrands using generalized unitarity. The subsequent phase-space integrations are performed via the reverse unitarity method familiar from collider physics, using differential equations to obtain the exact velocity dependence from near-static boundary conditions.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Herrmann, Enrico0000-0002-3983-2993
Parra-Martinez, Julio0000-0003-0178-1569
Ruf, Michael S.0000-0001-6770-2822
Zeng, Mao0000-0002-4741-4038
Additional Information:We thank Zvi Bern, Chia-Hsien Shen, Radu Roiban, and Mikhail Solon for helpful comments and collaboration on related projects, and Clifford Cheung and Rafael Porto for discussions and comments on the draft. We are also grateful to Paolo Di Vecchia, Carlo Heissenberg, Rodolfo Russo, and Gabriele Veneziano for stimulating discussions regarding radiative effects and cross-checks of various soft master integrals. E.H. thanks Lance Dixon and Bernhard Mistlberger for discussions about the reverse unitarity method. E.H. is supported by the U.S. Department of Energy (DOE) under Award Number DE-SC0009937. J.P.-M. is supported by the U.S. Department of Energy (DOE) under Award Number DE-SC0011632. M.S.R.’s work is funded by the German Research Foundation (DFG) within the Research Training Group GRK 2044. M.Z.’s work is funded by the U.K. Royal Society through Grant URF\R1\20109.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0009937
Department of Energy (DOE)DE-SC0011632
Deutsche Forschungsgemeinschaft (DFG)GRK 2044
Royal SocietyURF\R1\20109
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Record Number:CaltechAUTHORS:20210122-074910230
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107649
Deposited By: Joy Painter
Deposited On:22 Jan 2021 18:32
Last Modified:22 Jan 2021 18:32

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