Lepton flavor models with discrete prediction of theta_{13}

TL;DR

This paper explores lepton flavor models with a specific discrete symmetry that predict fixed values for neutrino mixing angles, including non-zero , and can reproduce or deviate from tri-bimaximal mixing.

Contribution

It introduces a new class of lepton flavor models based on a -symmetric discrete group that predicts specific, discrete neutrino mixing angles.

Findings

Models predict non-zero  angles consistent with observations.

Certain models realize tri-bimaximal mixing with =0.

Discrete deviations from tri-bimaximal mixing are achieved.

Abstract

We study the lepton flavor models with the flavor symmetry (Z_N \times Z_N \times Z_N)\rtimes Z_3. Our models predict non-vanishing discrete values of \theta_{13} as well as \theta_{12} and \theta_{23} depending on N. For certain values, our models realize the tri-bimaximal mixing angles with \theta_{13}=0. For other values, our models provide with discrete deviation from the tri-bimaximal mixing angles.