Spinning waveforms from KMOC at leading order

Abstract

We provide the analytic waveform in time domain for the scattering of two Kerr black holes at leading order in the post-Minkowskian expansion and up to fourth order in both spins. The result is obtained by the generalization of the KMOC formalism to radiative observables, combined with the analytic continuation of the five-point scattering amplitude to complex kinematics. We use analyticity arguments to express the waveform directly in terms of the three-point coupling of the graviton to the spinning particles and the gravitational Compton amplitudes, completely bypassing the need to compute and integrate the five-point amplitude. In particular, this allows to easily include higher-order spin contributions for any spinning compact body. Finally, in the spinless case we find a new compact and gauge-invariant representation of the Kovacs-Thorne waveform.

arXiv comment7 pages, 1 figure; v2: minor improvements, references added

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• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• On-shell approach to scalar hair in spinning binaries
• Double soft graviton factors from the gravitational Wilson line
• Smoothness of Classical Limit in KMOC Formalism
• Unexpected Symmetries of Kerr Black Hole Scattering