Effective Field Theory for Extreme Mass Ratios

Abstract

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.

9 pages, 1 figure

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• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• The first law of binary black hole scattering
• Conservative Dynamics of Relativistic Binaries Beyond Einstein Gravity
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• Quantum Effects for Black Holes with On-Shell Amplitudes
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• Double soft graviton factors from the gravitational Wilson line