Magnetic field effects on neutrino oscillations

Abstract

Using the exact propagators in a constant magnetic field, the neutrino self-energy has been calculated to all orders in the field strength [Formula: see text] within the minimal extension of the Weinberg–Salam model with massive Dirac neutrinos. A neutrino dispersion relation, effective potential and effective mass have been obtained that depend on [Formula: see text]. The consequences of this effective potential on neutrino oscillations have been explored, and resonance conditions have been obtained for magnetic fields [Formula: see text], where [Formula: see text] is the elementary charge and [Formula: see text] is the electron mass. The oscillation length has also been obtained, showing that [Formula: see text]–[Formula: see text] resonant oscillations in magnetic field are likely to occur in the proximity of most stars generating high magnetic fields.