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From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion

Cheung, Clifford and Rothstein, Ira Z. and Solon, Mikhail P. (2018) From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion. Physical Review Letters, 121 (25). Art. No. 251101. ISSN 0031-9007. doi:10.1103/PhysRevLett.121.251101.

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We combine tools from effective field theory and generalized unitarity to construct a map between on-shell scattering amplitudes and the classical potential for interacting spinless particles. For general relativity, we obtain analytic expressions for the classical potential of a binary black hole system at second order in the gravitational constant and all orders in velocity. Our results exactly match all known results up to fourth post-Newtonian order, and offer a simple check of future higher order calculations. By design, these methods should extend to higher orders in perturbation theory.

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Rothstein, Ira Z.0000-0002-3374-4212
Additional Information:© 2018 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 29 August 2018; revised manuscript received 16 November 2018; published 17 December 2018. We thank Zvi Bern and Chia-Hsien Shen for comments on the manuscript and useful discussions. C. C. is supported by a Sloan Research Fellowship and DOE Early Career Award under Grant No. DE-SC0010255. I. Z. R. is supported by the NSF under Grant No. NSF-1407744. M. P. S. is supported by the DOE under Grant No. DE-SC0011632 and the McCone Fellowship at the Walter Burke Institute.
Group:Walter Burke Institute for Theoretical Physics
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Department of Energy (DOE)DE-SC0010255
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
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Issue or Number:25
Record Number:CaltechAUTHORS:20180814-113508962
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88796
Deposited By: Joy Painter
Deposited On:15 Aug 2018 14:09
Last Modified:16 Nov 2021 00:29

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