CP Phases of Neutrino Mixing in a Supersymmetric B-L Gauge Model with T_7 Lepton Flavor Symmetry

Abstract

In a recently proposed renormalizable model of neutrino mixing using the non-Abelian discrete symmetry T_7 in the context of a supersymmetric extension of the Standard Model with gauged U(1)_{B-L}, a correlation was obtained between θ_{13} and θ_{23} in the case where all parameters are real. Here we consider all parameters to be complex, thus allowing for one Dirac CP phase δ_{CP} and two Majorana CP phases α_{1,2}. We find a slight modification to this correlation as a function of δ_{CP}. For a given set of input values of Δm^2_{21}, Δm^2_{32}, θ_{12}, and θ_{13}, we obtain \sin^2 2 θ_{23} and m_{ee} (the effective Majorana neutrino mass in neutrinoless double beta decay) as functions of \tan δ_{CP}. We find that the structure of this model always yields small |\tan δ_{CP}|.

15 pages, 10 figures