Effective Field Theory for Extreme Mass Ratio Binaries

Cheung, Clifford; Parra-Martinez, Julio; Rothstein, Ira Z.; Shah, Nabha; Wilson-Gerow, Jordan

doi:10.1103/PhysRevLett.132.091402

Title: Effective Field Theory for Extreme Mass Ratio Binaries

Journal Article · 28 February 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.132.091402 · OSTI ID:2316089

Cheung, Clifford; Parra-Martinez, Julio; Rothstein, Ira Z.;

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We derive an effective field theory describing a pair of gravitationally interacting point particles in an expansion in their mass ratio, also known as the self-force (SF) expansion. The 0SF dynamics are trivially obtained to all orders in Newton’s constant by the geodesic motion of the light body in a Schwarzschild background encoding the gravitational field of the heavy body. The corrections at 1SF and higher are generated by perturbations about this configuration—that is, the geodesic deviation of the light body and the fluctuation graviton—but crucially supplemented by an operator describing the recoil of the heavy body as it interacts with the smaller companion. Using this formalism we compute new results at third post-Minkowskian order for the conservative dynamics of a system of gravitationally interacting massive particles coupled to a set of additional scalar and vector fields. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0011632; FG02-04ER41338; FG02-06ER41449

OSTI ID:: 2316089

Alternate ID(s):: OSTI ID: 2479629

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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