Asymmetry of the Propagation of Left-Handed Neutrinos in an Inhomogeneous Magnetic Field

We analyze the evolution of a neutrino in an inhomogeneous electromagnetic field. Based on exact solutions to the equation describing both flavor oscillations and spin rotation, we obtain the probabilities of neutrino spin–flavor transitions. The propagation of a neutrino in the field of a point magnetic dipole is considered in detail. It is shown that in this case, the total probability of spin rotation depends on the angle between the direction of the neutrino velocity and the dipole axis. The results of analysis show that the effective reduction of the left-polarized neutrino flux from an astrophysical object with a high magnetic field or at the final stage of supernova collapse can be due to spin rotation both in the region with a high density of matter and during further propagation of the neutrino in the field surrounding the object.