Black hole binary dynamics from the double copy and effective theory

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

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291 Scopus citations


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.

Original languageEnglish (US)
Article number206
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 1 2019

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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