Type II seesaw supersymmetric neutrino model for $\theta_{13}\neq0$

TL;DR

This paper develops a supersymmetric neutrino model using type II seesaw and discrete flavor symmetries to explain nonzero  mixing angle, generating tribimaximal mixing and analyzing deviations and phenomenological implications.

Contribution

It introduces a novel supersymmetric $A_4 imes A_3$ model that produces  nd explores deviations from tribimaximal mixing with phenomenological predictions.

Findings

Successfully generates tribimaximal mixing consistent with  and  angles.

Analyzes deviations from tribimaximal mixing due to $A_4$ singlet perturbations.

Provides estimations for flavon masses and cutoff scale based on decay branching ratios.

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 $\theta_{13}\neq0$. 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 $\tau \rightarrow \mu \mu e$--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.