dorsal/arxiv
View SchemaResumming Scattering Amplitudes for Waveforms
| Authors | Katsuki Aoki, Andrea Cristofoli |
|---|---|
| Categories | |
| ArXiv ID | 2601.08252vv2 |
| URL | https://arxiv.org/abs/2601.08252 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We develop a formalism to compute non-perturbative 5-point scattering amplitudes and apply it to gravitational waveforms in the two-body problem for arbitrary trajectories. Drawing inspiration from Feshbach's projector formalism in nuclear physics, we introduce effective potentials governing graviton emission and relate them to perturbative scattering amplitudes at arbitrary order in the gravitational coupling and mass ratio. Once these potentials are determined, the corresponding non-perturbative amplitudes in the classical limit are obtained by iterative insertions and subsequently translated into gravitational waveforms using the KMOC formalism. As an application, we compute the gravitational waveform emitted by a two-body system moving along a generic, potentially highly bent, trajectory. Importantly, our formalism extends effective field theory matching of the gravitational two-body potential to radiative phenomena, enabling the extraction of gravitational-wave source terms directly from perturbative on-shell scattering amplitudes.
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"abstract": "We develop a formalism to compute non-perturbative 5-point scattering amplitudes and apply it to gravitational waveforms in the two-body problem for arbitrary trajectories. Drawing inspiration from Feshbach\u0027s projector formalism in nuclear physics, we introduce effective potentials governing graviton emission and relate them to perturbative scattering amplitudes at arbitrary order in the gravitational coupling and mass ratio. Once these potentials are determined, the corresponding non-perturbative amplitudes in the classical limit are obtained by iterative insertions and subsequently translated into gravitational waveforms using the KMOC formalism. As an application, we compute the gravitational waveform emitted by a two-body system moving along a generic, potentially highly bent, trajectory. Importantly, our formalism extends effective field theory matching of the gravitational two-body potential to radiative phenomena, enabling the extraction of gravitational-wave source terms directly from perturbative on-shell scattering amplitudes.",
"arxiv_id": "2601.08252",
"authors": [
"Katsuki Aoki",
"Andrea Cristofoli"
],
"categories": [
"hep-th",
"gr-qc"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Resumming Scattering Amplitudes for Waveforms",
"url": "https://arxiv.org/abs/2601.08252",
"version": "v2"
},
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