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.