PreprintCC BY 4.0arXiv
Gravitational Compton scattering at the fourth post-Minkowskian order
Abstract
We compute the classical gravitational Compton amplitude at the fourth post-Minkowskian order, 𝒪(G4), within the Worldline Quantum Field Theory framework. We derive the associated N-matrix element, which provides the gravitational-wave scattering phase shift at the same order. As a nontrivial check, we show that our result agrees with black-hole perturbation theory.
Versions
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BibTeX
@misc{brunello2026gravitational,
title = {{Gravitational Compton scattering at the fourth post-Minkowskian order}},
author = {Giacomo Brunello and Mario Meo and Sid Smith},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.28239},
eprint = {2606.28239},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.28239},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Gravitational Compton scattering at the fourth post-Minkowskian order
AU - Giacomo Brunello
AU - Mario Meo
AU - Sid Smith
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2606.28239
UR - https://arxiv.org/abs/2606.28239
AB - We compute the classical gravitational Compton amplitude at the fourth post-Minkowskian order, 𝒪(G^4), within the Worldline Quantum Field Theory framework. We derive the associated N-matrix element, which provides the gravitational-wave scattering phase shift at the same order. As a nontrivial check, we show that our result agrees with black-hole perturbation theory.
ER -