CP Phases of Neutrino Mixing in a Supersymmetric B-L Gauge Model with T_7 Lepton Flavor Symmetry

TL;DR

This paper explores CP phases in a supersymmetric B-L gauge model with T_7 symmetry, analyzing how complex parameters influence neutrino mixing angles and CP violation, with implications for neutrinoless double beta decay.

Contribution

It extends a previous real-parameter neutrino mixing model to include complex phases, revealing how CP violation affects mixing angles and decay predictions.

Findings

Correlation between heta_{13} and heta_{23} is modified by an ext{delta}_{CP}

Model predicts small | an ext{delta}_{CP}| values

Provides ext{m}_{ee} predictions for neutrinoless double beta decay

Abstract

In a recently proposed renormalizable model of neutrino mixing using the non-Abelian discrete symmetry T_7 in the context of a supersymmetric extension of the Standard Model with gauged U(1)_{B-L}, a correlation was obtained between \theta_{13} and \theta_{23} in the case where all parameters are real. Here we consider all parameters to be complex, thus allowing for one Dirac CP phase \delta_{CP} and two Majorana CP phases \alpha_{1,2}. We find a slight modification to this correlation as a function of \delta_{CP}. For a given set of input values of \Delta m^2_{21}, \Delta m^2_{32}, \theta_{12}, and \theta_{13}, we obtain \sin^2 2 \theta_{23} and m_{ee} (the effective Majorana neutrino mass in neutrinoless double beta decay) as functions of \tan \delta_{CP}. We find that the structure of this model always yields small |\tan \delta_{CP}|.