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) ≤ sin2 θ12 ≤ 0.3415 (0.3416), 0.456 (0.433) ≤ sin2 θ23 ≤ 0.544 (0.545), 2.00 (2.018) ≤ 102 × sin2 θ13 ≤ 2.405 (2.424), 156 (140.8) ≤ δCP(◦) ≤ 172 (167.2) for normal (inverted) ordering of the three-neutrino scenario, and 0.015 (0.022) ≤ s214 ≤ 0.045 (0.029), 0.005(0.0095) ≤ s224 ≤ 0.012 (0.012), 0.003 (0.009) ≤ s234 ≤ 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.