Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry

Abstract

The 3-3-1 model proposed in 2011 based on discrete symmetry $S_4$ responsible for the neutrino and quark masses is updated, in which the non-zero ${\theta }_{13}$ is focused. Neutrino masses and mixings are consistent with the most recent data on neutrino oscillations without perturbation. The new feature is adding a new $SU(3{)}_L$ anti-sextet lying in doublet under $S_4$ which can result the non-zero ${\theta }_{13}$ without perturbation, and consequently, the number of Higgs multiplets required is less than those of other models based on non-Abelian discrete symmetries and the 3-3-1 models. The exact tribimaximal form obtained with the breaking $S_4\to Z_3$ in charged lepton sector and $S_4\to \mathcal{K}$ in neutrino sector. If both breakings $S_4\to \mathcal{K}$ and $\mathcal{K}\to Z_2$ are taken place in neutrino sector, the realistic neutrino spectrum is obtained without perturbation. The upper bound on neutrino mass and the effective mass governing neutrinoless double beta decay at the tree level are presented. The model predicts the Dirac CP violation phase $\delta =292.45^{\circ }$ in the normal spectrum (with ${\theta }_{23}\ne \frac{\pi }{4}$) and $\delta =303.14^{\circ }$ in the inverted spectrum.

23 pages, 6 figures. arXiv admin note: text overlap with arXiv:1402.1256

References in corpus (49)

• Big-Bang Nucleosynthesis
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Global status of neutrino oscillation parameters after Neutrino-2012
• Stringy origin of non-Abelian discrete flavor symmetries
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Symmetry of Lepton Mixing
• The golden ratio prediction for the solar neutrino mixing
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
• A model for fermion masses and lepton mixing in SO(10) x A4
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• (Non-)Abelian discrete anomalies
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• A SUSY A4 model for fermion masses and mixings
• Flavor Symmetry for Quarks and Leptons
• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• Golden Ratio Prediction for Solar Neutrino Mixing
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• The 3-3-1 model with S_4 flavor symmetry
• Tri-bimaximal neutrino mixing and neutrinoless double beta decay
• Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry
• Simple Finite Non-Abelian Flavor Groups
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• Neutrino masses and mixing from S4 flavor twisting
• D4 Flavor Symmetry for Neutrino Masses and Mixing
• S_3 Symmetry and Neutrino Masses and Mixings
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• Radiative neutrino mass in 331 scheme
• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
• Neutrino masses in the economical 3-3-1 model
• Neutrino masses and lepton flavor violation in the 3-3-1 model with right-handed neutrinos
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• The discrete flavor symmetry D5
• Fermion masses in the economical 3-3-1 model
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• An approach to permutation symmetry for the electroweak theory
• Fritzsch neutrino mass matrix from S3 symmetry
• Fermion masses and mixings in an $SU(5)$ grand unified model with an extra flavor symmetry
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Neutrino masses and mixings with an S3 family permutation symmetry
• A prediction of neutrino mixing matrix with CP violating phase
• Neutrino CP violating parameters from nontrivial quark-lepton correlation: a S3xGUT model
• An A_5 Model of Four Lepton Generations
• Understanding for flavor physics in the lepton sector
• Broken $S_3$ Symmetry in Flavor Physics
• Quintics with Finite Simple Symmetries

Cited by in corpus (1)

• Neutrinoless double beta decay and neutrino mass