Compatibility of $A_4$ Flavour Symmetric Minimal Extended Seesaw with $(3+1)$ Neutrino Data

Abstract

Motivated by the recent resurrection of the evidence for an eV scale sterile neutrino from the MiniBooNE experiment, we revisit one of the most minimal seesaw model known as the minimal extended seesaw that gives rise to a $3+1$ light neutrino mass matrix. We consider the presence of $A_4$ flavour symmetry which plays a non-trivial role in generating the structure of the neutrino mass matrix. Considering a diagonal charged lepton mass matrix and generic vacuum alignments of $A_4$ triplet flavons, we classify the resulting mass matrices based on their textures. Keeping aside the disallowed texture zeros based on earlier studies of $3+1$ neutrino textures, we categorise the remaining ones based on texture zeros, $\mu -\tau$ symmetry in the $3\times 3$ block and hybrid textures. After pointing out the origin of such $3+1$ neutrino textures to $A_4$ vacuum alignments, we use the latest $3+1$ neutrino oscillation data and numerically analyse the texture zeros and $\mu -\tau$ symmetric cases. We find that a few of them are allowed from each category predicting interesting correlations between neutrino parameters. We also find that all of these allowed cases prefer normal hierarchical pattern of light neutrino masses over inverted hierarchy.

arXiv comment46 pages, 8 figures, 21 tables

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• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Survey of Texture Zeros with Light Dirac Neutrinos
• Realization of the minimal extended seesaw mechanism and the $T{M}_2$ type neutrino mixing
• $B-L$ model with $A_4\times Z_3\times Z_4$ symmetry for $3+1$ active$-$sterile neutrino mixing
• Consequences of $\mu$-$\tau$ reflection symmetry for $3+1$ neutrino mixing
• Phenomenological Study of Texture Zeros in Lepton Mass Matrices of Minimal Left-Right Symmetric Model
• Lepton masses and mixings, and muon anomalous magnetic moment in an extended $B-L$ model with type I seesaw mechanism
• Revisiting Majorana Neutrino Textures in the Light of Dark LMA
• Exploring the feasibility of the charged lepton flavor violating decay $\mu \to e+\gamma$ in inverse and linear seesaw mechanisms with $A_4$ flavour symmetry
• Octant of ${\theta }_{23}$, MH, $0\nu \beta \beta$ decay and vacuum alignment of $A_4$ flavour symmetry in an inverse seesaw model
• Exploring dynamics of $A_4$ flavour symmetry using low scale seesaw mechanisms
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry