Neutrino Oscillations in Dense Matter

Abstract

We propose a modification of the electroweak theory, where the fermions with the same electroweak quantum numbers are combined in multiplets and are treated as different quantum states of a single particle. The developed approach enables one to calculate the probabilities of the processes taking place in the detector at long distances from the particle source. Calculations of higher-order processes including the computation of the contributions due to radiative corrections can be performed in the framework of the perturbation theory using the regular diagram technique. As a result, we obtain the analog to the Dirac--Schwinger equation of quantum electrodynamics describing neutrino oscillations and its spin rotation in dense matter.