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arXiv · 2606.28239

Gravitational Compton scattering at the fourth post-Minkowskian order

Giacomo Brunello·Mario Meo·Sid Smith
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Abstract

We compute the classical gravitational Compton amplitude at the fourth post-Minkowskian order, $\mathcal{O}(G^4)$, 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.

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Giacomo Brunello, Mario Meo, Sid Smith. 2026-06-26. Gravitational Compton scattering at the fourth post-Minkowskian order. https://arxiv.org/abs/2606.28239

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