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.

arXiv comment26 pages

References in corpus (95)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• 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
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• 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
• $\mbox{SU}(3)_L \otimes \mbox{U}(1)_N$ and $\mbox{SU}(4)_L \otimes \mbox{U}(1)_N$ gauge models with right-handed neutrinos
• Leptons masses in an $SU(3{)}_L\otimes U(1{)}_N$ Gauge Model
• Some Simple Mixing and Mass Matrices for Neutrinos
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• Neutral Currents and GIM Mechanism in SU(3)_L X U(1)_N Models for Electroweak Interactions
• Hints of theta_13>0 from global neutrino data analysis
• Evidence of theta(13)>0 from global neutrino data analysis
• Updated global fit to three neutrino mixing: status of the hints of theta13 > 0
• Lepton Mass Hierarchy and Neutrino Oscillations
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• The 331 model with right-handed neutrinos
• Naturally Small Seesaw Neutrino Mass with No New Physics Beyond the TeV Scale
• Large Leptonic Flavor Mixing and the Mass Spectrum of Leptons
• Atmospheric Neutrino Oscillation and a Phenomenological Lepton Mass Matrix
• The Flavor Symmetry
• SU(3)_LxU(1)_N Model for Right-Handed Neutrino Neutral Currents
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Symmetry of Lepton Mixing
• Fermion Masses and Mixings in a S4 Based Model
• Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters
• Tribimaximal Neutrino Mixing from a Supersymmetric Model with A_4 Family Symmetry
• 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
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• Leptogenesis with Almost Degenerate Majorana Neutrinos
• Minimal Scalar Sector of 3-3-1 Models without Exotic Electric Charges
• Maximal Neutrino Mixing and Maximal CP Violation
• High scale mixing unification and large neutrino mixing angles
• S3 x Z2 model for neutrino mass matrices
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• S4 as a natural flavor symmetry for lepton mixing
• S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT
• SU(3)_C X SU(3)_L X U(1)_X model with two Higgs triplets
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• A SUSY A4 model for fermion masses and mixings
• Model for T2K indication with maximal atmospheric angle and tri-maximal solar angle
• 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
• Relatively large theta13 and nearly maximal theta23 from the approximate S3 symmetry of lepton mass matrices
• Tri-bimaximal neutrino mixing and neutrinoless double beta decay
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• Electric Charge Quantization in SU(3)_C X SU(3)_L X U(1)_X Models
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• Neutrino masses and mixing from S4 flavor twisting
• Neutrino Masses with "Zero Sum" Condition: $m_{{\nu }_1}+m_{{\nu }_2}+m_{{\nu }_3}=0$
• Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in A_4 models
• S_3 Symmetry and Neutrino Masses and Mixings
• Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry
• The 3-3-1 model with A_4 flavor symmetry
• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
• Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns
• Large Mixing Angle MSW Solution in 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
• Universal Seesaw Mass Matrix Model with an S_3 Symmetry
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Democratic Neutrino Mixing Reexamined
• An approach to permutation symmetry for the electroweak theory
• Perturbed S3 neutrinos
• Fritzsch neutrino mass matrix from S3 symmetry
• Non-zero U_{e3} and TeV-Leptogenesis through A_4 symmetry breaking
• Neutrino Tribimaximal Mixing from A_4 Alone
• Neutrino mixing with broken $S_3$ symmetry
• The economical SU(3)_C X SU(3)_L X U(1)_X model
• A Model for Tri-bimaximal Mixing from a Completely Broken $A_4$
• The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing
• Broken $S_3$ Symmetry in the Neutrino Mass Matrix
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Quantum numbers of heavy neutrinos, tri-bi-maximal mixing through double seesaw with permutation symmetry, and comment on ${\theta }_{\mathrm{sol}}+{\theta }_c\simeq \frac{\pi }{4}$
• Minimal extended flavor groups, matter fields chiral representations, and the flavor question
• Almost maximally broken permutation symmetry for neutrino mass matrix
• Minimal seesaw model with S_4 flavor symmetry
• Nearly tri-bimaximal mixing in the S_3 flavour symmetry
• Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter
• Neutrino CP violating parameters from nontrivial quark-lepton correlation: a S3xGUT model
• Admixture of quasi-Dirac and Majorana neutrinos with tri-bimaximal mixing
• Slepton Mass Matrices, mu -> e gamma Decay and EDM in SUSY S4 Flavor Model
• Broken $S_3$ Symmetry in Flavor Physics

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