Lorentz Violation, Gravitoelectromagnetic Field and Bhabha Scattering

TL;DR

This paper investigates how tiny violations of Lorentz symmetry, predicted at high energies, affect Bhabha scattering within the gravitoelectromagnetic framework using the Standard Model Extension.

Contribution

It introduces a new non-minimal Lorentz-violating coupling in gravitoelectromagnetism and calculates its impact on Bhabha scattering cross sections.

Findings

Lorentz violation contributions are small but comparable to electromagnetic effects.

The differential cross section is explicitly calculated with Lorentz-violating terms.

Results suggest potential observable effects at high energies.

Abstract

Lorentz symmetry is a fundamental symmetry in the Standard Model (SM) and in General Relativity (GR). This symmetry holds true for all models at low energies. However at energies near the Planck scale, it is conjectured that there may be a very small violation of Lorentz symmetry. The Standard Model Extension (SME) is a quantum field theory that includes a systematic description of Lorentz symmetry violations in all sectors of particle physics and gravity. In this paper SME is considered to study the physical process of Bhabha Scattering in the Gravitoelectromagnetism (GEM) theory. GEM is an important formalism that is valid in a suitable approximation of general relativity. A new non-minimal coupling term that violates Lorentz symmetry is used in this paper. Differential cross section for gravitational Bhabha scattering is calculated. The Lorentz violation contributions to this GEM scattering cross section are small and are similar in magnitude to the case of the electromagnetic field.