On two body gravitational scattering within perturbative gravity

Abstract

AbstractWe study the gravitational scattering of two scalar particles up to the one-loop order. We calculate off-shell amplitudes and operators with the recently developed package FeynGrav. We obtained the tree-level amplitude and found it consistent with classical results in relativistic and non-relativistic cases. We obtained explicit expressions for the vertex operator and the scattering amplitude at the one-loop level off-shell. They are consistent with the previous results obtained in the low energy limit. Analysis of the scattering amplitudes and operators is given. We outline the further development achievable with the FeynGrav and other computational packages.