The S_3 flavor symmetry in 3-3-1 models

Abstract

We propose two 3-3-1 models (with either neutral fermions or right-handed neutrinos) based on S_3 flavor symmetry responsible for fermion masses and mixings. The models can be distinguished upon the new charge embedding (\mathcal{L}) relevant to lepton number. The neutrino small masses can be given via a cooperation of type I and type II seesaw mechanisms. The latest data on neutrino oscillation can be fitted provided that the flavor symmetry is broken via two different directions S_3 \rightarrow Z_2 and S_3 \rightarrow Z_3 (or equivalently in the sequel S_3 \rightarrow Z_2 \rightarrow Identity), in which the second direction is due to a scalar triplet and another antisextet as small perturbation. In addition, breaking of either lepton parity in the model with neutral fermions or lepton number in the model with right-handed neutrinos must be happened due to the \mathcal{L}-violating scalar potential. The TeV seesaw scale can be naturally recognized in the former model. The degenerate masses of fermion pairs (μ, τ), (c, t) and (s, b) are respectively separated due to the S_3 \rightarrow Z_3 breaking.

26 pages

References in corpus (29)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• 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
• 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
• Interesting radiative patterns of neutrino mass in an SU(3)_C X SU(3)_L X U(1)_X model with right-handed neutrinos
• 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
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• Neutrino masses and mixing from S4 flavor twisting
• S_3 Symmetry and Neutrino Masses and Mixings
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• 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
• 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
• A Model for Tri-bimaximal Mixing from a Completely Broken $A_4$
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Nearly tri-bimaximal mixing in the S_3 flavour symmetry
• Neutrino CP violating parameters from nontrivial quark-lepton correlation: a S3xGUT model
• Broken $S_3$ Symmetry in Flavor Physics

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• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• The 3-3-1 model with inert scalar triplet
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Lepton masses and mixing in $SU(3{)}_C\otimes SU(3{)}_L\otimes U(1{)}_X$ models with a $S_3$ flavor symmetry
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• Simple 3-3-1 model and implication for dark matter
• $S_3$ discrete group as a source of the quark mass and mixing pattern in $331$ models
• A predictive $331$ model with $A_4$ flavour symmetry
• Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Lepton number violation in 331 models
• Investigation of Dark Matter in Minimal 3-3-1 Models
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• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Novel signatures of the Higgs sector from S3 flavor symmetry
• Fermion masses and mixings and some phenomenological aspects of a 3-3-1 model with linear seesaw mechanism
• Quark mass and mixing in the 3-3-1 model with neutral leptons based on $D_4$ flavor symmetry
• $T_7$ flavor symmetry scheme for understanding neutrino mass and mixing in 3-3-1 model with neutral leptons
• Discriminating the minimal 3-3-1 models
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Phenomenology of the simple 3-3-1 model with inert scalars
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Muon anomalies and the $SU(5)$ Yukawa relations
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Novel effects of the $W$-boson mass shift in the 3-3-1 model
• Neutrino mass and dark matter from an approximate $B-L$ symmetry
• Implementing inverse seesaw mechanism in SU(3)xSU(4)xU(1) gauge models
• Non-vanishing $U_{e3}$ under $S_3$ symmetry
• Fermion Mass and Mixing in a Low-Scale Seesaw Model based on the S4 Flavor Symmetry
• Phenomenology of an Extended $1+2$ Higgs Doublet Model with $S_3$ Family Symmetry
• Broken $S_{3\mathrm{L}}^{}\times S_{3\mathrm{R}}^{}$ Flavor Symmetry and Leptonic CP Violation
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Investigation of Higgs boson anomalous FCNC interactions in the simple 3-3-1 model
• Phenomenology of a minimal extension of the standard model with a family-dependent gauge symmetry
• Scotogenic model from an extended electroweak symmetry
• Algebraic realisation of three fermion generations with $S_3$ family and unbroken gauge symmetry from $\mathbb{C}\ell (8)$
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• A non-renormalizable neutrino mass model with ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ symmetry
• A comparative study between the modified Fritzsch and nearest neighbor interaction textures
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry
• Fermion masses and mixings and charged lepton flavor violation in a 3-3-1 model with inverse seesaw