Radiative generation of realistic neutrino mixing with $A4$

Abstract

Radiative generation of realistic mixing in neutrino sector is studied at one-loop level in a scotogenic $A4\times Z_2$ symmetric framework. A scheme of obtaining non-zero ${\theta }_{13}$ through small mass splitting in right-handed neutrino sector is proposed. The model consists of three right-handed neutrinos, two of which were required to be degenerate in masses to yield the common structure of the left-handed neutrino mass matrix that corresponds to ${\theta }_{13}=0$, ${\theta }_{23}=\pi /4$ and any ${\theta }_{12}^0$ in particular the choices specific to the Tribimaximal (TBM), Bimaximal (BM) and Golden Ratio (GR) mixings. Non-zero ${\theta }_{13}$, deviations of ${\theta }_{23}$ from maximality and small corrections to the solar mixing angle ${\theta }_{12}$ can be generated in one stroke by shifting from this degeneracy in the right-handed neutrino sector by a small amount. The lightest among the three $Z_2$ odd inert $SU(2{)}_L$ doublet scalars present in the model can be a potential dark matter candidate.

Comments: 11 pages, 1 figure, 2 tables