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\, \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 $\de $ belongs to $1\, \si $ range while $\theta_{12}$ belongs to $3\, \si $ range of the best-fit value. The effective neutrino masses are predicted to be $\langle m_{ee}\rangle=6.81 \,\, \mbox{meV}$ for NH and $\langle m_{ee}\rangle=48.48\,\, \mbox{meV}$ for IH being in good agreement with the most recent experimental data.