Renormalization of Very Special Relativity gauge theories

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