Revisiting the Dirac Nature of Neutrinos in the Light of $\Delta(27)$ and Cyclic Symmetries

TL;DR

This paper constructs a Dirac neutrino model using $ ext{Delta}(27)$ symmetry that explains mass hierarchies and mixing patterns consistent with experimental data, highlighting the role of texture zeros and a minimal parameter.

Contribution

It introduces a novel Dirac neutrino model based on $ ext{Delta}(27)$ symmetry with specific texture zeros and successful phenomenological predictions.

Findings

Model reproduces neutrino mixing angles within experimental bounds

Neutrino mass matrix has four texture zeros

Mixing scheme controlled by a single parameter

Abstract

Amid the uncertainty regarding the fundamental nature of neutrinos, we adhere to the Dirac description, and construct a model in the framework of $\Delta(27)$ symmetry. The model successfully accounts for the hierarchical patterns of both charged lepton and neutrino masses. The neutrino mass matrix exhibits four texture zeroes, and the associated mixing scheme aligns with the experimental data, notably controlled by a single parameter.