SO(3) Gauge Symmetry and Nearly Tri-bimaximal Neutrino Mixing

TL;DR

This paper presents a model combining SO(3) gauge symmetry and global U(1) symmetry to explain neutrino masses and mixing, predicting testable CP violation and new particles accessible at colliders.

Contribution

It introduces a novel framework integrating SO(3) gauge symmetry with global U(1) symmetry to account for neutrino properties and predicts new particles for experimental verification.

Findings

Neutrino masses are explained with Majorana features and gauge symmetry.

Nearly tri-bimaximal mixing is achieved with nonzero $ heta_{13}$ and CP phase.

Predicts vector-like Majorana neutrinos, charged leptons, and new Higgs bosons.

Abstract

In this note I mainly focus on the neutrino physics part in my talk and report the most recent progress made in \cite{YLW0}. It is seen that the Majorana features of neutrinos and SO(3) gauge flavor symmetry can simultaneously explain the smallness of neutrino masses and nearly tri-bimaximal neutrino mixing when combining together with the mechanism of approximate global U(1) family symmetry. The mixing angle $\theta_{13}$ and CP-violating phase are in general nonzero and testable experimentally at the allowed sensitivity. The model also predicts the existence of vector-like Majorana neutrinos and charged leptons as well as new Higgs bosons, some of them can be light and explored at the LHC and ILC.