Black Hole Binary Dynamics from the Double Copy and Effective Theory
Abstract
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.
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.Attached Files
Published - Bern2019_Article_BlackHoleBinaryDynamicsFromThe.pdf
Submitted - 1908.01493.pdf
Supplemental Material - 13130_2019_11629_MOESM1_ESM.gz
Files
1908.01493.pdf
Additional details
Identifiers
- Eprint ID
- 98545
- Resolver ID
- CaltechAUTHORS:20190910-111306536
Related works
- Describes
- https://arxiv.org/abs/1908.01493 (URL)
Funding
- Department of Energy (DOE)
- DE-SC0009937
- Department of Energy (DOE)
- DE-SC0011632
- Department of Energy (DOE)
- DE-SC0013699
- Mani L. Bhaumik Institute for Theoretical Physics
- John A. McCone Postdoctoral Fellowship
- Swiss National Science Foundation (SNSF)
- SNF200021 179016
- European Research Council (ERC)
- pertQCD
- SCOAP3
Dates
- Created
-
2019-09-10Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field