Renormalization-Group Effects in the SO(3) Gauge Model With Nearly Degenerate Neutrino Masses and Bi-maximal Mixing

TL;DR

This paper analyzes how renormalization-group effects influence nearly degenerate neutrino masses and bi-maximal mixing in an SO(3) gauge model, showing the scenario's stability and cosmological relevance.

Contribution

It explicitly demonstrates the stability of bi-maximal neutrino mixing under renormalization-group effects within an SO(3) gauge framework.

Findings

Renormalization-group effects can alter model parameters.

Bi-maximal mixing remains stable against RG effects.

Degenerate neutrino masses can be cosmologically significant.

Abstract

The renormalization-group effects on the scenario with nearly degenerate mass and bi-maximal mixing of neutrinos are analyzed. As a consequence, we explicitly show in the SO(3) gauge model that the renormalization-group effects could modify the fitting values of the relevant basic parameters of the model, but leave the nearly bi-maximal mixing scenario to remain stable for reconciling both solar and atmospheric neutrino data. The approximately degenerate Majorana neutrino masses are allowed to be large enough to play a significant cosmological role without conflicting with the current neutrinoless double beta decay.