Minimal Neutrino Texture with Neutrino Mass Ratio and Cabibbo Angle

TL;DR

This paper proposes minimal neutrino mass matrix textures within a type-I seesaw framework, explaining neutrino oscillation data and predicting mixing angles, CP violation, and double beta decay parameters.

Contribution

It introduces new minimal and next-to-minimal textures for neutrino masses, linking parameters to mass ratios and the Cabibbo angle, with predictions for observable quantities.

Findings

Textures reproduce tri-bimaximal mixing with an additional rotation.

Predicted regions for mixing angles and CP violation are consistent with experimental data.

Effective mass predictions for neutrino-less double beta decay are provided.

Abstract

We present neutrino mass matrix textures in a minimal framework of the type-I seesaw mechanism where two right-handed Majorana neutrinos are introduced in order to reproduce experimental results of neutrino oscillations. The textures can lead to experimentally favored leptonic mixing angles described by the tri-bimaximal mixing with one additional rotation. We present minimal and next to minimal textures for the normal mass hierarchy case in a context of the texture zero. A minimal texture in the inverted hierarchy case is also constructed, which does not have any vanishing entries in a Dirac neutrino mass matrix. We also discuss some cases that model parameters in the textures are supposed to be a neutrino mass ratio and/or the Cabibbo angle. Predicted regions of mixing angles, a leptonic CP-violation parameter, and an effective mass for the neutrino-less double beta decay are presented in all textures.