Radiative Generation of Non-zero ${\theta }_{13}$ in MSSM with broken $A_4$ Flavor Symmetry

Abstract

We study the renormalization group effects on neutrino masses and mixing in Minimal Supersymmetric Standard Model (MSSM) by considering a $\mu -\tau$ symmetric mass matrix at high energy scale giving rise to Tri-Bi-Maximal (TBM) type mixing. We outline a flavor symmetry model based on $A_4$ symmetry giving rise to the desired neutrino mass matrix at high energy scale. We take the three neutrino mass eigenvalues at high energy scale as input parameters and compute the neutrino parameters at low energy by taking into account of renormalization group effects. We observe that the correct output values of neutrino parameters at low energy are obtained only when the input mass eigenvalues are large $|m_{1,2,3}|=0.08-0.12$ eV with a very mild hierarchy of either inverted or normal type. A large inverted or normal hierarchical pattern of neutrino masses is disfavored within our framework. We also find a preference towards higher values of $\tan \beta$, the ratio of vacuum expectation values (vev) of two Higgs doublets in MSSM in order to arrive at the correct low energy output. Such a model predicting large neutrino mass eigenvalues with very mild hierarchy and large $\tan \beta$ could have tantalizing signatures at oscillation, neutrino-less double beta decay as well as collider experiments.

Version 2: 30 pages, 20 figures, Major Revision, to appear in Nucl. Phys. B

References in corpus (11)

• Neutrino Mass and Mixing with Discrete Symmetry
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Tribimaximal Mixing From Small Groups
• Constraints on neutrino masses from Planck and Galaxy Clustering data
• Large U_{e3} and Tri-bimaximal Mixing
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• A Shift from Democratic to Tri-bimaximal Neutrino Mixing with Relatively Large theta_{13}
• Validity of quasi-degenerate neutrino mass models and their predictions on baryogenesis
• Neutrino masses and mixings with non-zero ${\theta }_{13}$ in Type I+II Seesaw Models
• Lower Bounds on U_{e3}

Cited by in corpus (4)

• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Smallness of θ_{13} and the size of the Solar Mass Splitting: Are they related?
• Nonzero ${\theta }_{13}$ in $SO(3)\to A_4$ lepton models