B - L model with A4 x Z3 x Z4 symmetry for 3+1 active-sterile neutrino mixing

We construct a B-L model with A(4) x Z(3) x 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 nu H(nu l/Lambda)2 similar to 10(-4) GeV of the electron mass compared to the muon and tau masses of the order of nu(H)nu(l)/Lambda similar to 10(-1) GeV. The 3 + 1 active-sterile neutrino mixings are predicted to be 0.015 <= vertical bar U-14 vertical bar(2) <= 0.045, 0.004 <= vertical bar U-24 vertical bar(2) <= 0.012 and 0.004 <= vertical bar U-34 vertical bar(2) <= 0.014 for normal hierarchy while 0.020 <= vertical bar U-14 vertical bar(2) <= 0.045, 0.008 <= vertical bar U-24 vertical bar(2) <= 0.018 and 0.008 <= vertical bar U-34 vertical bar(2) <= 0.022 for inverted hierarchy. Sterile neutrino masses are predicted to be 0.7 less than or similar to m(s) (eV) less than or similar to 3.16 for normal hierarchy and 2.6 less than or similar to m(s) (eV) less than or similar to 7.1 for inverted hierarchy. For three neutrino scheme the model predicts 0.3401 <= sin(2) theta(12) <= 0.3415, 0.460 <= sin(2) theta(23) <= 0.540, -0.60 <= sin delta(CP) <= -0.20 for normal hierarchy and 0.3402 <= sin(2) theta(12) <= 0.3416, 0.434 <= sin(2) theta(23) <= 0.610, -0.95 <= sin delta(CP) <= -0.60 for inverted hierarchy.