Scotogenic S3 symmetric generation of realistic neutrino mixing

Abstract

Realistic neutrino mixing is achieved at one-loop level radiatively using $S3\times Z_2$ symmetry. The model comprises of two right-handed neutrinos, maximally mixed to produce the structure of the left-handed Majorana neutrino mass matrix characterized by $θ_{13}=0$, $θ_{23}=π/4$ and any value of $θ_{12}^0$ particular to the Tribimaximal (TBM), Bimaximal (BM) and Golden Ratio (GR) or other mixings. A small deviation from this maximal mixing between the two right-handed neutrinos could generate non-zero $θ_{13}$, shifts of the atmospheric mixing angle $θ_{23}$ from $π/4$ and also could correct the solar mixing angle $θ_{12}$ by a small amount altogether in a single step. In this scotogenic mechanism of generating non-zero $θ_{13}$ by shifting from maximal mixing in the right-handed neutrino sector, two $Z_2$ odd inert scalar $SU(2)_L$ doublets were used, the lightest of which can serve as a dark matter candidate.