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 ${\theta }_{13}=0$, ${\theta }_{23}=\pi /4$ and any value of ${\theta }_{12}^0$ 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 ${\theta }_{13}$, shifts of the atmospheric mixing angle ${\theta }_{23}$ from $\pi /4$ and also could correct the solar mixing angle ${\theta }_{12}$ by a small amount altogether in a single step. In this scotogenic mechanism of generating non-zero ${\theta }_{13}$ 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.

Comments: 15 pages, 2 figures, 3 tables, v2: version published in Physical Review D