Zero Textures of the Neutrino Mass Matrix from Cyclic Family Symmetry

TL;DR

This paper demonstrates how specific two-zero textures of the neutrino mass matrix can be realized using cyclic symmetries within an SO(10) grand unified framework, aligning with experimental neutrino data.

Contribution

It provides a symmetry-based realization of viable neutrino mass textures in a grand unified theory context, using minimal scalar content and cyclic symmetries.

Findings

Realization of two-zero neutrino mass textures with Z3 symmetry.

Extension to Z4 symmetry for certain textures.

Minimal scalar sector with at most two triplets and a singlet.

Abstract

We present the symmetry realization of the phenomenologically viable Frampton-Glashow-Marfatia (FGM) two zero texture neutrino mass matrices in the flavor basis within the framework of the type (I+II) seesaw mechanism natural to SO(10) grand unification. A small Abelian cyclic symmetry group $Z_3$ is used to realize these textures except for class C for which the symmetry is enlarged to $Z_4$. The scalar sector is restricted to the Standard Model (SM) Higgs doublet to suppress the flavor changing neutral currents. Other scalar fields used for symmetry realization are at the most two scalar triplets and, in some cases, a complex scalar singlet. Symmetry realization of one zero textures has, also, been presented.