The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order

Abstract

We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.

33 pages. Several figures. v3 : affiliations and acknowledgements update, version to published in JHEP

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• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Post-Minkowskian Radial Action from Soft Limits and Velocity Cuts
• Remodeling the Effective One-Body Formalism in Post-Minkowskian Gravity
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Classical gravitational scattering from a gauge-invariant double copy
• Scattering Amplitudes for Binary Systems beyond GR
• The Radial Action from Probe Amplitudes to All Orders