Renormalizable Standard Model Extension with S4 symmetry for neutrino mass and mixing

Abstract

We suggest a renormalizable Standard model extension based on S4 symmetry which accommodates the recent observed neutrino oscillation pattern. Through the type-I seesaw mechanism, the smallness of the active neutrino mass and its hierarchy are produced. The model generates the the updated data on neutrino parameters in which 1 σ range of the reactor neutrino mixing angle θ13, the atmospheric neutrino mixing θ23 and the Dirac phase δ for both NH and IH while for the solar mixing angle θ12 = 35.70° belongs to 2σ range. The effective masses are found to be (mee) = 5.74 meV for NH and (mee) = 48.1meV for IH within their allowed constraints.