Tree-level processes in very special relativity

Abstract

In this paper, we discuss the Bhabha and Compton scattering for the quantum electrodynamics defined in the framework of SIM(2) very special relativity (VSR). The main aspect of the VSR setting is that it admits different types of interactions appearing in a nonlocal form due to the modified gauge invariance. We explore the richness of these new couplings in the evaluation of the differential cross section for these tree-level processes. We assess the behavior of the leading VSR Lorentz violation modifications by considering some special limits for the Bhabha and Compton cross section expressions.