Deviation from $μ-τ$ Symmetry with New Approaches

Abstract

We propose two new predictive neutrino mass matrix textures that deviate from $μ$-$τ$ symmetry and explore their phenomenological implications. These textures are significant due to their predictive nature and the unique approach they introduce for breaking the $μ$-$τ$ symmetry. Both textures predict six physical parameters and impose sharp constraints on $θ_{23}$ and $δ$, considering both normal and inverted neutrino mass orderings. In addition, we realize the textures in their exact form within the framework of the seesaw mechanism, based on the $SU(2)_L \times A_4 \times Z_3$ symmetry group.