  The Very Special Relativity Electroweak Standard Model (VSR EW SM) is a
theory with $SU(2)_L \times U(1)_R$ symmetry, with the same number of leptons
and gauge fields as in the usual Weinberg-Salam (WS) model. No new particles
are introduced. The model is renormalizable and unitarity is preserved.
However, photons obtain mass and the massive bosons obtain different masses for
different polarizations. Besides, neutrino masses are generated. A VSR
invariant term will produce neutrino oscillations and new processes are
allowed. In particular, we compute the rate of the decays $\mu \rightarrow e +
\gamma$. All these processes, which are forbidden in the Electroweak Standard
Model, put stringent bounds on the parameters of our model and measure the
violation of Lorentz invariance. We investigate the canonical quantization of
this non-local model. Second quantization is carried out obtaining a well
defined particle concept. Additionally, we do a counting of the degrees of
freedom associated to the gauge bosons involved in this work, after Spontaneous
Symmetry Breaking has been realized. Violations of Lorentz invariance have been
predicted by several theories of Quantum Gravity \cite{amu}. It is a remarkable
possibility that the low energy effects of Lorentz violation induced by Quantum
Gravity could be contained in the non-local terms of the VSR EW SM.
