Renormalization of the Mass Matrices for Quarks and Neutrinos

A proper parameterization of the observables plays a crucial role in facilitating the study of the RGE running of the mass matrices. However, the choice of the physical parameters is by no means unique. We will study the RGE evolution of the mass matrices, in particular, for the quarks and the neutrinos, using a set of rephasing invariant mixing parameters that are introduced recently. The goal is to provide hints to the mixing and the mass hierarchy problems. Explicit renormalization group equations for the quark mass matrices will be derived and simplified. The possible numerical solutions, as well as the possible physical insight, will be investigated. This specific set of rephasing invariant parameters can also facilitate the study of the RGE evolution of the neutrino intrinsic parameters in the mass matrices. The solutions to the invariant parameters for the neutrino oscillation in matter will be studied, and the renormalization for the neutrino mass matrices will be investigated.

Project ID:PA9902-0662
External Project ID:NSC98-2112-M182-001-MY2