Black hole binary dynamics from the double copy and effective theory

Bern, Zvi; Cheung, Clifford; Roiban, Radu; Shen, Chia-Hsien; Solon, Mikhail P.; Zeng, Mao

doi:10.1007/JHEP10(2019)206

Title: 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.

Authors:

Bern, Zvi ^[1]; Cheung, Clifford ^[2]; Roiban, Radu ^[3]; Shen, Chia-Hsien ^[3]; Solon, Mikhail P. ^[4]; Zeng, Mao ^[5]

Univ. of California, Los Angeles, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Pennsylvania State Univ., University Park, PA (United States)
Univ. of California, Los Angeles, CA (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States)
Federal Inst. of Technology, Zurich (Switzerland)

Publication Date:: Mon Oct 21 00:00:00 EDT 2019

Research Org.:: California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Los Angeles, CA (United States); Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1599723

Grant/Contract Number:: SC0011632; SC0009937; SC0013699

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; Black Holes; Classical Theories of Gravity; Effective Field Theories; Scattering Amplitudes

Citation Formats


                    Bern, Zvi, Cheung, Clifford, Roiban, Radu, Shen, Chia-Hsien, Solon, Mikhail P., and Zeng, Mao. Black hole binary dynamics from the double copy and effective theory.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP10(2019)206.

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                    Bern, Zvi, Cheung, Clifford, Roiban, Radu, Shen, Chia-Hsien, Solon, Mikhail P., & Zeng, Mao. Black hole binary dynamics from the double copy and effective theory.  United States.  https://doi.org/10.1007/JHEP10(2019)206

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                    Bern, Zvi, Cheung, Clifford, Roiban, Radu, Shen, Chia-Hsien, Solon, Mikhail P., and Zeng, Mao. Mon .  
"Black hole binary dynamics from the double copy and effective theory".  United States.  https://doi.org/10.1007/JHEP10(2019)206.  https://www.osti.gov/servlets/purl/1599723.

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@article{osti_1599723,

  title        = {Black hole binary dynamics from the double copy and effective theory},

  author       = {Bern, Zvi and Cheung, Clifford and Roiban, Radu and Shen, Chia-Hsien and Solon, Mikhail P. and Zeng, Mao},

  abstractNote = {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.},

  doi          = {10.1007/JHEP10(2019)206},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 10,

  volume       = 2019,

  place        = {United States},

  year         = {Mon Oct 21 00:00:00 EDT 2019},

  month        = {Mon Oct 21 00:00:00 EDT 2019}

}

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Title: Black hole binary dynamics from the double copy and effective theory

Abstract

Citation Formats

On gravitational motion journal, October 1956

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Poincar�-invariant gravitational field and equations of motion of two pointlike objects: The postlinear approximation of general relativity journal, October 1981

Gravity waves from soft theorem in general dimensions journal, September 2018

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Duality and multi-gluon scattering journal, March 1988

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journal, October 2018

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journal, January 1985

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journal, April 1980

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journal, January 1991

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Gravitational Self-Force Correction to the Binding Energy of Compact Binary Systems
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Progress in One-Loop qcd Computations
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Infrared Photons and Gravitons
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Multi-leg one-loop gravity amplitudes from gauge theory
journal, April 1999

On the resolution of singularities of multiple Mellin–Barnes integrals
journal, May 2009

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journal, April 2019

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Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
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Integration by Parts: an Introduction
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Self-force and radiation reaction in general relativity
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GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
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The computation of loop amplitudes in gauge theories
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On the numerical evaluation of loop integrals with Mellin-Barnes representations
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Physically Acceptable Solution of Einstein's Equation for Many-Body System
journal, August 1973

Black holes, gravitational waves and fundamental physics: a roadmap
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The Gravitational Equations and the Problem of Motion
journal, January 1938

Eikonal quantum gravity and planckian scattering
journal, December 1992

Static Two-Body Potential at Fifth Post-Newtonian Order
journal, June 2019

Spherical Gravitational Waves
journal, September 1959

Higher-order gravitational deflection and soft bremsstrahlung in planckian energy superstring collisions
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Scalar one-loop integrals for QCD
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