The 3-3-1 model with S_4 flavor symmetry

Abstract

We construct a 3-3-1 model based on family symmetry S_4 responsible for the neutrino and quark masses. The tribimaximal neutrino mixing and the diagonal quark mixing have been obtained. The new lepton charge \mathcal{L} related to the ordinary lepton charge L and a SU(3) charge by L=2/\sqrt{3} T_8+\mathcal{L} and the lepton parity P_l=(-)^L known as a residual symmetry of L have been introduced which provide insights in this kind of model. The expected vacuum alignments resulting in potential minimization can origin from appropriate violation terms of S_4 and \mathcal{L}. The smallness of seesaw contributions can be explained from the existence of such terms too. If P_l is not broken by the vacuum values of the scalar fields, there is no mixing between the exotic and the ordinary quarks at the tree level.

arXiv comment20 pages, revised version

References in corpus (52)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Non-Abelian Discrete Symmetries in Particle Physics
• $SU(3)\otimes U(1)$ Model for Electroweak Interactions
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Neutrino Masses and Leptogenesis with Heavy Higgs Triplets
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Leptons masses in an $SU(3{)}_L\otimes U(1{)}_N$ Gauge Model
• Some Simple Mixing and Mass Matrices for Neutrinos
• Neutral Currents and GIM Mechanism in SU(3)_L X U(1)_N Models for Electroweak Interactions
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• The 331 model with right-handed neutrinos
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• Tri-bimaximal Neutrino Mixing from Orbifolding
• Naturally Small Seesaw Neutrino Mass with No New Physics Beyond the TeV Scale
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• SU(3)_LxU(1)_N Model for Right-Handed Neutrino Neutral Currents
• Symmetry of Lepton Mixing
• Fermion Masses and Mixings in a S4 Based Model
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• 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
• Neutrino Mass Matrix from S_4 Symmetry
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Suitability of A_4 as a Family Symmetry in Grand Unification
• High scale mixing unification and large neutrino mixing angles
• Phenomenological Consequences of See-Saw in S4 Based Models
• Generating Neutrino Mass in the 331 Model
• S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT
• An SO(10)XS-4 Scenario for Naturally Degenerate Neutrinos
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C
• A SUSY A4 model for fermion masses and mixings
• Flavor Symmetry for Quarks and Leptons
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• Tri-bimaximal neutrino mixing and neutrinoless double beta decay
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• Energy Dependence of Jet Quenching and Life-time of the Dense Matter in High-energy Heavy-ion Collisions
• Surveying the Nucleon-Nucleon Momentum Correlation Function in the Framework of Quantum Molecular Dynamics Model
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• Neutrino Tribimaximal Mixing from A_4 Alone
• FCNC in the 3-3-1 model with right-handed neutrinos
• Gauge boson families in grand unified theories of fermion masses: E_6^4 x S_4
• $A_4$ Group and Tri-bimaximal Neutrino Mixing -- A Renormalizable Model
• Phenomenological aspects of the exotic $T$ quark in 331 models
• GIMPs from Extra Dimensions

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