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.

20 pages, revised version

References in corpus (19)

• Symmetry of Lepton Mixing
• 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
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Suitability of A_4 as a Family Symmetry in Grand Unification
• 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
• 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
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• Surveying the Nucleon-Nucleon Momentum Correlation Function in the Framework of Quantum Molecular Dynamics Model
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• 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

Cited by in corpus (8)

• Phenomenology of the 3-3-1-1 model
• Neutrino masses and mixing from S4 flavor twisting
• Simple 3-3-1 model and implication for dark matter
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Investigation of Dark Matter in Minimal 3-3-1 Models
• Discriminating the minimal 3-3-1 models
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model