# Photon emission and decay from generic Lorentz Invariance Violation

## TL;DR

This paper investigates how Lorentz invariance violation affects photon emission and decay by modifying dispersion relations, providing generic formulas and specific results for different orders of violation.

## Contribution

It introduces a comprehensive calculation of photon decay and vacuum Cherenkov radiation rates for arbitrary Lorentz violation orders in the photon sector.

## Key findings

- Derived generic rates for photon decay and Cherenkov radiation for any order n.
- Provided explicit results for the lowest values of n.
- Established a framework for phenomenological analysis of Lorentz violation effects.

## Abstract

One of the most studied approaches in phenomenology to introduce the breaking of Lorentz symmetry is the generic approach. This consist on the modification of the free particle dispersion relation by the addition of an extra power law term of order $n$ on energy or momentum. Using this approach in the photon sector, we have calculated the generic rates for vacuum Cherenkov radiation and photon decay, for any order $n$, at leading order. Explicit results for the decay and emission rates for the lowest values of $n$ are also presented.