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arXiv · 2402.00124

Gravitational Bound Waveforms from Amplitudes

Tim Adamo·Riccardo Gonzo·Anton Ilderton
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Abstract

With the aim of computing bound waveforms from scattering amplitudes, we explore gravitational two-body dynamics using the Schwinger-Dyson equations and Bethe-Salpeter recursion. We show that the tree-level scattering waveform admits a natural analytic continuation, in rapidity, to the bound waveform, which we confirm from an independent calculation, in the Post-Newtonian expansion, of the time-domain multipoles at large eccentricity. We demonstrate consistency of this scattering-to-bound map with the Damour-Deruelle prescription for orbital elements in the quasi-Keplerian parametrization (which enters into the evaluation of the multipoles) and with the analytic continuation, in the binding energy, of radiated energy and angular momentum at 3PM.

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Tim Adamo, Riccardo Gonzo, Anton Ilderton. 2024-01-31. Gravitational Bound Waveforms from Amplitudes. https://doi.org/10.1007/jhep05(2024)034

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