Medium Effects on the CP phases and Dynamical Mixing Angles in the Neutrino Mixing Matrix

Abstract

The concepts of effective and dynamical neutrino mixing matrices are introduced in order to describe the behavior of neutrinos in matter. The former relates weak eigenstates to mass eigenstates, whereas the latter relates weak eigenstates to energy eigenstates in matter. It is shown that the dynamical mixing angles enable us to express the neutrino survival probability in the Sun without any resort to the Landau-Zener transition probability for the non-adiabatic process. Also discussed are effective CP violating phases that appear in the effective and dynamical mixing matrices in matter. Both two and three generation cases are discussed using the solar neutrinos as an example.