Neutrino Masses via a Seesaw with Heavy Majorana and Dirac Neutrino Mass Matrices from Discrete Subgroup $\Delta (27)$ of SU(3)

TL;DR

This paper constructs a neutrino mass matrix using a seesaw mechanism based on the discrete symmetry group Δ(27), predicting maximal mu-tau mixing and a testable neutrinoless double beta decay effective mass.

Contribution

It introduces a novel approach by applying the Δ(27) symmetry to both heavy Majorana and Dirac neutrino mass matrices within the seesaw framework.

Findings

Neutrino mass matrix exhibits maximal μ-τ mixing.

Predicts specific effective neutrino mass for neutrinoless double beta decay.

Compatible with current neutrino oscillation data.

Abstract

Neutrino mass matrix via a seesaw mechanism is constructed by assuming that the underlying symmetry of both heavy Majorana and Dirac mass matrices is the discrete subgroup $\Delta(27)$ symmetry of SU(3). Using the experimental data of neutrino oscillation, the neutrino mass matrix exhibits maximal $\nu_{\mu}-\nu_{\tau}$ mixing and has a specific prediction on the effective neutrino mass in neutrinoless double beta decay which can be tested in future experiment.