  In Very Special Relativity (VSR) a gauge invariant photon mass is allowed. We
explore some consequences of keeping this parameter not zero. VSR-Maxwell
equations are presented. In addition, we show modifications to the Feynman
rules keeping the photon mass and we apply it in the computation of the
electron self energy, whose result is free from infrared divergences. A
computation of the Coulomb scattering is developed and a small signal of the
privileged direction predicted in the theory is present at tree level.
Radiative corrections are computed and the photon mass cancels due to soft
photon emission as in the standard case.
