$A_4$ realization of Linear Seesaw and Neutrino Phenomenology

Abstract

Motivated by the crucial role played by the discrete flavour symmetry groups in explaining the observed neutrino oscillation data, we consider the $A_4$ realization of linear seesaw by extending the standard model (SM) particle content with two types of right-handed neutrinos along with the flavon fields, and the SM symmetry with $A_4\times Z_4\times Z_2$ and a global symmetry $U(1{)}_X$ which is broken explicitly by the Higgs potential. We scrutinize whether this model can explain the recent results from neutrino oscillation experiments by searching for parameter space that can accommodate the observables such as the reactor mixing angle ${\theta }_{13}$, the CP violating phase ${\delta }_{CP}$, sum of active neutrino masses ${\Sigma }_i{m}_i$, solar and atmospheric mass squared differences, and the lepton number violating parameter called as effective Majorana mass parameter, in line with recent experimental results. We also discuss the scope of this model to explain the baryon asymmetry of the universe through Leptogenesis. We also investigate the possibility of probing the non-unitarity effect in this scenario, but it is found to be rather small.

arXiv comment23 pages, 23 captioned fugure

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• Fermion Mass and Mixing in a Low-Scale Seesaw Model based on the S4 Flavor Symmetry
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Octant of ${\theta }_{23}$, MH, $0\nu \beta \beta$ decay and vacuum alignment of $A_4$ flavour symmetry in an inverse seesaw model
• 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
• Exploring dynamics of $A_4$ flavour symmetry using low scale seesaw mechanisms
• Neutrino mass and charged lepton flavor violation in an extended left-right symmetric model