Journal of High Energy Physics

, 2019:206 | Cite as

Black hole binary dynamics from the double copy and effective theory

  • Zvi Bern
  • Clifford Cheung
  • Radu Roiban
  • Chia-Hsien Shen
  • Mikhail P. Solon
  • Mao ZengEmail author
Open Access
Regular Article - Theoretical Physics


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.


Black Holes Classical Theories of Gravity Effective Field Theories Scattering Amplitudes 


Open Access

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

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Zvi Bern
    • 1
    • 2
  • Clifford Cheung
    • 3
  • Radu Roiban
    • 4
  • Chia-Hsien Shen
    • 1
  • Mikhail P. Solon
    • 3
  • Mao Zeng
    • 5
    Email author
  1. 1.Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and AstronomyUCLALos AngelesU.S.A.
  2. 2.Theoretical Physics DepartmentCERNGeneva 23Switzerland
  3. 3.Walter Burke Institute for Theoretical PhysicsCalifornia Institute of TechnologyPasadenaU.S.A.
  4. 4.Institute for Gravitation and the CosmosPennsylvania State UniversityUniversity ParkU.S.A.
  5. 5.Institute for Theoretical PhysicsETH ZürichZürichSwitzerland

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