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.
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