Vacuum Cherenkov radiation and photon decay rates from generic Lorentz Invariance Violation

TL;DR

This paper investigates how generic Lorentz invariance violation modifies photon behavior, calculating vacuum Cherenkov radiation and photon decay rates by adjusting QED interactions at tree level.

Contribution

It provides the first detailed calculation of photon emission and decay rates under generic LIV modifications to the photon dispersion relation.

Findings

Derived the squared probability amplitude for vacuum Cherenkov radiation.

Calculated photon decay rates considering LIV corrections.

Presented results relevant for phenomenological tests of Lorentz invariance.

Abstract

Among the most studied approaches to introduce the breaking of Lorentz symmetry, the generic approach is one of the most frequently used for phenomenology, it converges on the modification of the free particle dispersion relation. Using this approach in the photon sector, we have calculated the squared probability amplitude for vacuum Cherenkov radiation and photon decay by correcting the QED coupling at tree level and first order in LIV parameters. For the lower order energy correction we calculate the emission and decay rate for each process.