Unveiling Neutrino Mysteries with $\Delta(27)$ Symmetry

TL;DR

This paper introduces a novel neutrino mass model based on $(27)$ symmetry, explaining neutrino mixing, mass hierarchy, and charged lepton masses, and testing predictions against experimental data on neutrino-less double beta decay and lepton flavor violation.

Contribution

It develops a new $(27)$-based model within the Type-I + Type-II seesaw framework that constrains neutrino mixing angles and predicts mass eigenvalues and phases.

Findings

Predicts specific values for atmospheric mixing angle $ heta_{23}$

Provides neutrino mass eigenvalues and Majorana phases

Consistent with experimental limits on $0 uetaeta$ decay and cLFV

Abstract

An elegant model is proposed by extending the Standard Model using the $\Delta(27)\times Z_3 \times Z_{10}$ symmetry within the framework of the Type-I + Type-II seesaw mechanism. This model is particularly noteworthy for its ability to restrict the atmospheric mixing angle, $\theta_{23}$, to specific values, and provides an explanation for the observed hierarchy of charged lepton masses. The neutrino mass matrix texture defined by three real parameters, predicts the three neutrino mass eigenvalues and the two Majorana phases. Furthermore, the model is tested against the experimental results of neutrino-less double beta ($0\nu\beta\beta$) decay and charged lepton flavour violation (cLFV) experiments.