  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.
