General RG Equations for Physical Neutrino Parameters and their Phenomenological Implications

TL;DR

This paper derives general renormalization group equations for neutrino parameters in the Standard Model, analyzing how radiative effects influence neutrino masses, mixing angles, and CP phases, with implications for neutrino phenomenology.

Contribution

It provides the first comprehensive derivation of RG equations for physical neutrino parameters and explores their phenomenological implications, including radiative generation of neutrino properties.

Findings

Radiative effects can explain solar neutrino data parameters.

Atmospheric neutrino mass splitting likely from high-energy physics.

CP phases significantly affect radiative corrections.

Abstract

The neutral leptonic sector of the Standard Model presumably consists of three neutrinos with non-zero Majorana masses with properties further determined by three mixing angles and three CP-violating phases. We derive the general renormalization group equations for these physical parameters and apply them to study the impact of radiative effects on neutrino physics. In particular, we examine the existing solutions to the solar and atmospheric neutrino problems, derive conclusions on their theoretical naturalness, and show how some of the measured neutrino parameters could be determined by purely radiative effects. For example, the mass splitting and mixing angle suggested by solar neutrino data could be entirely explained as a radiative effect if the small angle MSW solution is realized. On the other hand, the mass splitting required by atmospheric neutrino data is probably determined by unknown physics at a high energy scale. We also discuss the effect of non-zero CP-violating phases on radiative corrections.