Type II seesaw supersymmetric neutrino model for ${\theta }_{13}\ne 0$

Abstract

Using the type II seesaw approach and properties of discrete flavor symmetry group representations, we build a supersymmetric $A_4\times A_3$\ neutrino model with ${\theta }_{13}\ne 0$. After describing the basis of this model--which is beyond the minimal supersymmetric Standard Model--with a superfield spectrum containing flavons in $A_4\times A_3$\ representations, we first generate the tribimaximal neutrino mixing which is known to be in agreement with the mixing angles ${\theta }_{12}$ and ${\theta }_{23}$. Then, we give the scalar potential of the theory where the $A_3$ discrete subsymmetry is used to avoid the so-called sequestering problem. We \textrm{next} study the deviation from the tribimaximal mixing matrix which is produced by perturbing the neutrino mass matrix with a nontrivial $A_4$ singlet. Normal and inverted mass hierarchies are discussed numerically. We also study the breaking of $A_4$\ down to $Z_3$\ in the charged lepton sector, and use the branching ratio of the decay $\tau \to \mu \mu e$--which is allowed by the residual symmetry $Z_3$--to get estimations on the mass of one of the flavons and the cutoff scale $\Lambda$ of the model.

Comments: 45 pages, 4 figures, LaTeX