In this study the data of the OPERA and MINOS experiments, together with those related to the SN1987A supernova, are discussed in the context of the recent theories proposed for the superluminal muon neutrino. It is proved that for the models in which the Lorentz symmetry is violated, the decay mechanism leading to neutrino oscillation becomes possible. Within this framework, a new model based on the Hartman effect is proposed, according to which the neutrino becomes superluminal by quantum tunnelling, crossing a potential barrier generated by its interaction with the earth's crust matter. This model does not violate the Lorentz symmetry since the tachyonic state is generated by the quantum fluctuation of the neutrino initial energy, even if it requires to conjecture the presence of a quantum field that we ascribe to be that due to dark matter. In this model all superluminal neutrino decay mechanisms proposed in other studies are allowed. The hypothetical boson mediating the interaction between neutrino and dark matter is also discussed.