Black hole binary dynamics from the double copy and effective theory

• DOI: 10.1007/jhep10(2019)206
• Publication Date: 2019-11-01T11:01:30Z
• Authors: Zvi Bern; Clifford Cheung; Radu Roiban; Chia-Hsien Shen; Mikhail P. Solon; Mao Zeng
• Keywords: Unitarity; Hamiltonian (control theory); Effective field theory

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