Fitting to data of superluminal neutrinos with phenomenological scenarios

We test several phenomenological scenarios of faster-than-light neutrinos, by fitting to the experimental data from OPERA, MINOS and Fermilab79. Our purpose is to see, from the perspective of the current data, whether or not the speed of the superluminal neutrino depends on its energy. We show that the Coleman-Glashow scenario in which the velocity of the neutrino is free of the energy fits the data best. However, the result of SN1987A cannot be explained by this model. We find that a power-law model with the power close to zero can simultaneously explain the results of SN1987A and OPERA+MINOS+Fermilab79.