Lepton masses and mixings, and muon anomalous magnetic moment in an extended B − L model with the type-I seesaw mechanism

Abstract We propose a B − L model combined with the S4 × Z3 × Z4 discrete symmetry that successfully explains the recent 3+1 sterile–active neutrino data. The smallness of the neutrino mass is obtained through the type-I seesaw mechanism. The active–active and sterile–active neutrino mixing angles are predicted to be consistent with the recent constraints in which $0.3401\, (0.3402) \le \sin ^2\theta _{12}\le 0.3415\, (0.3416), \, 0.456\, (0.433) \le \sin ^2\theta _{23}\le 0.544\, (0.545), \, 2.00\, (2.018) \le 10^2\times \sin ^2\theta _{13}\le 2.405\, (2.424),\, \, 156 \, (140.8) \le \delta ^{(\circ )}_{CP}\le 172\, (167.2)$ for normal (inverted) ordering of the three-neutrino scenario, and $0.015 \, (0.022) \le s^2_{14}\le 0.045 \, (0.029), \, 0.005 (0.0095)\le s^2_{24}\le 0.012\, (0.012), \, 0.003 \, (0.009)\le s^2_{34} \le 0.011$ for normal (inverted) ordering of the 3+1 neutrino scenario. Our model predicts flavor-conserving leptonic neutral scalar interactions and successfully explains the muon g − 2 anomaly.