Gravitational Lorentz-violating $e^-+e^+\to\ell^-+\ell^+$ scattering

TL;DR

This paper explores how Lorentz-violating modifications in gravitation affect electron-positron scattering, incorporating thermal effects using thermo field dynamics, and provides insights into high-energy astrophysical phenomena.

Contribution

It introduces a novel analysis of Lorentz-violating gravitational corrections to fermion scattering within the gravitoelectromagnetism framework, including finite temperature effects.

Findings

Lorentz-violating corrections modify scattering cross sections

Thermal effects influence gravitational interaction corrections

Results applicable to high-energy astrophysical environments

Abstract

We investigate the gravitational $e^-+e^+\to\ell^-+\ell^+$ scattering process within the framework of gravitoelectromagnetism, a weak-field approximation of gravity analogous to Maxwell's theory of electromagnetism. This process involves the interaction between a fermion and an antifermion mediated by graviton exchange. We consider the nonminimal gravitational sector of the standard model extension and calculate the corrections to the scattering cross section arising from Lorentz violation. The analysis is carried out in two scenarios: (i) at zero temperature and (ii) at finite temperature. To incorporate thermal effects, we employ the thermo field dynamics formalism, which allows for a consistent treatment of quantum fields at finite temperature. The results provide insights into how Lorentz-violating and thermal corrections influence gravitational interactions, particularly relevant in high-energy or astrophysical environments.