B − L model with A 4 × Z 3 × Z 4 symmetry for 3 + 1 active-sterile neutrino mixing

Abstract

Abstract We construct a B − L model with A 4 × Z 3 × Z 4 flavor symmetry that accounts for the recent 3 + 1 active-sterile neutrino data. The tiny neutrino mass and the mass hierarchy are obtained by the type-I seesaw mechanism. The hierarchy of the lepton masses is satisfied by a factor of v H v l Λ 2 ∼ 1 0 − 4 G e V of the electron mass compared to the muon and tau masses of the order of v H v l Λ ∼ 1 0 − 1 G e V . The 3 + 1 active-sterile neutrino mixings are predicted to be 0.015 ⩽ |U 14|2 ⩽ 0.045, 0.004 ⩽ |U 24|2 ⩽ 0.012 and 0.004 ⩽ |U 34|2 ⩽ 0.014 for normal hierarchy while 0.020 ⩽ |U 14|2 ⩽ 0.045, 0.008 ⩽ |U 24|2 ⩽ 0.018 and 0.008 ⩽ |U 34|2 ⩽ 0.022 for inverted hierarchy. Sterile neutrino masses are predicted to be 0.7 ≲ m s  (eV) ≲ 3.16 for normal hierarchy and 2.6 ≲ m s  (eV) ≲ 7.1 for inverted hierarchy. For three neutrino scheme the model predicts 0.3401 ⩽ sin2  θ 12 ⩽ 0.3415, 0.460 ⩽ sin2  θ 23 ⩽ 0.540, −0.60 ⩽ sin δ CP ⩽ −0.20 for normal hierarchy and 0.3402 ⩽ sin2  θ 12 ⩽ 0.3416, 0.434 ⩽ sin2  θ 23 ⩽ 0.610, −0.95 ⩽ sin δ CP ⩽ − 0.60 for inverted hierarchy.