Scattering Amplitudes and Conservative Binary Dynamics at O (G4)

Zvi Bern, Julio Parra-Martinez, Radu Roiban, Michael S. Ruf, Chia Hsien Shen, Mikhail P. Solon, Mao Zeng

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order O(G4). As in previous lower-order calculations, we harness powerful tools from the modern scattering amplitudes program including generalized unitarity, the double copy, and advanced multiloop integration methods, in combination with effective field theory. The classical amplitude involves polylogarithms with up to transcendental weight two and elliptic integrals. We derive the radial action directly from the amplitude, and determine the corresponding Hamiltonian in isotropic gauge. Our results are in agreement with known overlapping terms up to sixth post-Newtonian order, and with the probe limit. We also determine the post-Minkowskian energy loss from radiation emission at O(G3) via its relation to the tail effect.

Original languageEnglish (US)
Article number171601
JournalPhysical review letters
Volume126
Issue number17
DOIs
StatePublished - Apr 26 2021

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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