The Triadic Texture: Neutrino Predictions, Viable Vacuum, and Phenomenological Constraints

Abstract

A minimal and predictive neutrino mass matrix texture for Majorana neutrino is proposed. The texture favours the normal hierarchy of neutrino mass eigenvalues. It further predicts the octant of $\theta_{23}$, constraints $\delta$, gives bounds on neutrino mass eigenvalues and also gives ranges for the two Majorana phases.The texture is realised in the framework of a Type-I seesaw and a Weinberg like dimension 6 operator under an extended symmetry of $SU(2)_L \otimes U(1)_Y \otimes A_4 \otimes Z_{10} \otimes Z_7 \otimes Z_5 \otimes Z_3$. The texture can be realised with different sets of vacuum expectation values of the associated scalar fields, but not all such sets lead to a viable scalar sector. The model also constrains the allowed channels of charged lepton flavour violation and leads to a suppressed baryon asymmetry generation through conventional leptogenesis.