Model of Geometric Neutrino Mixing

TL;DR

This paper introduces gauge models based on A_4 symmetry that naturally produce the geometric neutrino mixing pattern consistent with experimental data, linking neutrino masses, leptogenesis, and neutrinoless double beta decay.

Contribution

The paper presents a renormalizable gauge model utilizing A_4 symmetry to realize the geometric neutrino mixing pattern and explores its implications for neutrino mass spectrum and baryogenesis.

Findings

Neutrino mixing angles match experimental values

Baryogenesis via leptogenesis occurs naturally in the model

Predicted correlations between neutrinoless double beta decay and leptonic asymmetry

Abstract

Current neutrino oscillation data from solar, atmospheric, and reactor experiments are consistent with the neutrino mixing matrix elements taking values sin^2\theta_{12} = 1/3, sin^2\theta_{23} = 1/2, and sin^2\theta_{13}=0. We present a class of renormalizable gauge models which realize such a geometric mixing pattern naturally. These models, which are based on the non--Abelian discrete symmetry A_4, place significant restrictions on the neutrino mass spectrum, which we analyze. It is shown that baryogenesis via leptogenesis occurs quite naturally, with a single phase (determined from neutrino oscillation data) appearing in leptonic asymmetry and in neutrinoless double beta decay. Such predicted correlations would provide further tests of this class of models.