D4 Flavor Symmetry for Neutrino Masses and Mixing

Abstract

We present the $D_4\times Z_2$ flavor symmetry, which is different from the previous work by Grimus and Lavoura. Our model reduces to the standard model in the low energy and there is no FCNC at the tree level. Putting the experimental data, parameters are fixed, and then the implication of our model is discussed. The condition to realize the tri-bimaximal mixing is presented. The possibility for stringy realization of our model is also discussed.

10 pages, 1 figure

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• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Confronting Flavour Symmetries and extended Scalar Sectors with Lepton Flavour Violation Bounds
• Soft supersymmetry breaking terms from A4 lepton flavor symmetry
• Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY
• Survey of Texture Zeros with Light Dirac Neutrinos
• Fermion masses and mixings and $g-2$ muon anomaly in a 3-3-1 model with $D_4$ family symmetry
• Neutrino phenomenology in a left-right $D_4$ symmetric model
• Relating the Cabibbo angle to $\tan \beta$ in a two Higgs-doublet model
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• Diluting quark flavor hierarchies using dihedral symmetry
• Soft breaking of the $\mu \leftrightarrow \tau$ symmetry by ${\mathbf{S}}_4\otimes {\mathbf{Z}}_2$
• Small ${\theta }_{13}$ and solar neutrino oscillation parameters from $\mu -\tau$ symmetry
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry