Multiscalar $B-L$ extension based on $S_4$ flavor symmetry for neutrino mass and mixing

Abstract

A multiscalar and nonrenormalizable $B-L$ extension of the standard model (SM) with $S_4$ symmetry which successfully explains the recent observed neutrino oscillation data is proposed. The tiny neutrino masses and their hierarchies are generated via the type-I seesaw mechanism. The model reproduces the recent experiments of neutrino mixing angles and Dirac CP violating phase in which the atmospheric angle $({\theta }_{23})$ and the reactor angle $({\theta }_{13})$ get the best-fit values while the solar angle $({\theta }_{12})$ and Dirac CP violating phase ($\delta$) belong to $3\text{si}$ range of the best-fit value for normal hierarchy (NH). For inverted hierarchy (IH), ${\theta }_{13}$ gets the best-fit value and ${\theta }_{23}$ together with $\text{de}$ belongs to $1\text{si}$ range while ${\theta }_{12}$ belongs to $3\text{si}$ range of the best-fit value. The effective neutrino masses are predicted to be $⟨m_{ee}⟩=6.81\text{mbox}meV$ for NH and $⟨m_{ee}⟩=48.48\text{mbox}meV$ for IH being in good agreement with the most recent experimental data.

Comments: 20 pages, 9 figures, 2 tables