Graviton-Photon Scattering
N.E.J. Bjerrum-Bohr, Barry R. Holstein, Ludovic Plant\'e, Pierre, Vanhove

TL;DR
This paper analyzes graviton-photon scattering using factorization of gravitational amplitudes, exploring the process for massive and massless spin-1 systems, revealing unique cross section behaviors.
Contribution
It introduces a method to evaluate gravitational Compton scattering by leveraging Abelian QED amplitudes and examines the massless limit for graviton-photon interactions.
Findings
Forward scattering cross section exhibits peculiar behavior.
Differences between photon interactions and zero mass spin-1 limit.
Evaluation of graviton-photon scattering cross sections.
Abstract
We use the feature that the gravitational Compton scattering amplitude factorizes in terms of Abelian QED amplitudes to evaluate various gravitational Compton processes. We examine both the QED and gravitational Compton scattering from a massive spin-1 system by the use of helicity amplitude methods. In the case of gravitational Compton scattering we show how the massless limit can be used to evaluate the cross section for graviton-photon scattering and discuss the difference between photon interactions and the zero mass spin-1 limit. We show that the forward scattering cross section for graviton photoproduction has a very peculiar behavior, differing from the standard Thomson and Rutherford cross sections for a Coulomb-like potential.
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