  The splitting of neutrinos, a viable reaction for superluminal neutrinos, is
shown to have phenomenologically relevant consequences if one accepts the
recent OPERA results for the velocity of neutrinos. Neutrino splitting can be
used to put strong constraints on the energy dependence of the velocity of
propagation of neutrinos in a general analysis of modifications of relativistic
kinematics and to propose observable effects due to the departures from special
relativity in neutrino physics.
