Photon emission and decay from generic Lorentz Invariance Violation

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.