  Most recently, the measurement of the neutrino velocity with the OPERA
detector in the CNGS beam shows unexpected indication, that the muon neutrino
velocity, $v_{\nu}$, exceeds the velocity of light in the vacuum, $c$, which is
obviously in contradiction with the most basic hypothesis of modern physics.
Within the framework of minimal Standard Model Extension, we discuss the
modified dispersion relation and consequently the velocity-energy relation of
muon neutrinos. The simplified models are fit to the OPERA data, Fermilab
experiment and MINO data. We find that minimal Standard Extension can describe
these long baseline superluminal neutrinos to a good accuracy. For the
well-known tension between the OPERA measurement and the Supernova 1987A
neutrino observation, we discussed two ways out of the contradiction.
