Tree-level processes in very special relativity

TL;DR

This paper investigates how very special relativity (VSR) modifies quantum electrodynamics processes like Bhabha and Compton scattering, revealing new nonlocal interactions and Lorentz violation effects at the tree level.

Contribution

It introduces the impact of VSR-induced nonlocal couplings on scattering processes and analyzes their effects on differential cross-sections.

Findings

VSR introduces nonlocal interaction terms in QED.

Lorentz violation effects modify scattering cross-sections.

Special limits highlight the significance of VSR effects.

Abstract

In this paper we discuss the Bhabha and Compton scattering for the quantum electrodynamics defined in the framework of 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.