  Mandelstam-Leibbrandt(ML) regularization of Very Special Relativity (VSR)
amplitudes in momentum space depends on two fixed null vectors
$n_\mu,\bar{n}_\mu$ besides external momenta. ML is known to preserve gauge
invariance and naive power counting. The second null vector $\bar{n}_\mu$
destroys the $Sim(2)$ symmetry of the VSR model. We devise a systematic
procedure to take the $\bar{n}_\mu->0$ limit to recover the lost $Sim(2)$
symmetry. The procedure produces $Sim(2)$ and gauge invariant loop amplitudes.
We show how to use this method to remove unphysical terms from the Non
Relativistic Potential of Very Special Relativity Quantum Electrodynamics(VSR
QED) with a massive photon. Then we compute the one loop renormalization of VSR
QED. Finally we derive the anomalous magnetic moment of the electron, modified
by neutrino and photon mass; and comments on the phenomenological implications.
