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Black Hole Binary Dynamics from the Double Copy and Effective Theory

Bern, Zvi and Cheung, Clifford and Roiban, Radu and Shen, Chia-Hsien and Solon, Mikhail P. and Zeng, Mao (2019) Black Hole Binary Dynamics from the Double Copy and Effective Theory. Journal of High Energy Physics, 2019 (10). Art. No. 206. ISSN 1126-6708. doi:10.1007/JHEP10(2019)206.

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We describe a systematic framework for computing the conservative potential of a compact binary system using modern tools from scattering amplitudes and effective field theory. Our approach combines methods for integration and matching adapted from effective field theory, generalized unitarity, and the double-copy construction, which relates gravity integrands to simpler gauge-theory expressions. With these methods we derive the third post-Minkowskian correction to the conservative two-body Hamiltonian for spinless black holes. We describe in some detail various checks of our integration methods and the resulting Hamiltonian.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Shen, Chia-Hsien0000-0002-5138-9971
Zeng, Mao0000-0002-4741-4038
Additional Information:© 2019 The Authors.This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: August 26, 2019; Accepted: September 13, 2019; Published: October 21, 2019. We thank Alessandra Buonanno, Simon Caron-Huot, Thibault Damour, Paolo Di Vecchia, Michael Enciso, David Kosower, Andrés Luna, Aneesh Manohar, Smadar Naoz, Julio Parra-Martinez, Rafael Porto, Jan Steinhoff, George Sterman, Pierre Vanhove, Gabriele Veneziano, Justin Vines, Mark Wise, and Zahra Zahraee for many helpful discussions and encouragement. In addition, we especially thank Ira Rothstein for his many insightful comments throughout this project. Z.B. is supported by the U.S. Department of Energy (DOE) under Award Number DE-SC0009937. C.C. is supported by the DOE under grant no. DE-SC0011632. R.R. is supported by the U.S. Department of Energy (DOE) under grant no. DE-SC0013699. C.H.S. is supported by the Mani L. Bhaumik Institute for Theoretical Physics. M.P.S. is supported by the DOE under grant no. DE-SC0011632 and the McCone Fellowship at the Walter Burke Institute. M.Z. is supported by the Swiss National Science Foundation under contract SNF200021 179016 and the European Commission through the ERC grant pertQCD.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0009937
Department of Energy (DOE)DE-SC0011632
Department of Energy (DOE)DE-SC0013699
Mani L. Bhaumik Institute for Theoretical PhysicsUNSPECIFIED
John A. McCone Postdoctoral FellowshipUNSPECIFIED
Swiss National Science Foundation (SNSF)SNF200021 179016
European Research Council (ERC)pertQCD
Subject Keywords:Black Holes, Classical Theories of Gravity, Effective Field Theories, Scattering Amplitudes
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Issue or Number:10
Record Number:CaltechAUTHORS:20190910-111306536
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Official Citation:Bern, Z., Cheung, C., Roiban, R. et al. J. High Energ. Phys. (2019) 2019: 206.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98545
Deposited By: Joy Painter
Deposited On:10 Sep 2019 20:47
Last Modified:16 Nov 2021 17:39

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