The Flavor Symmetry

Abstract

Assuming that the lepton, quark and Higgs fields belong to the three-dimensional reducible representation of the permutation group S_3, we suggest a minimal S_3 invariant extension of the standard model. We find that in the leptonic sector, the exact S_3 x Z_2 symmetry, which allows 6 real independent parameters with two CP-violating phases, is consistent with experimental data and predicts a maximal mixing of the atmospheric neutrinos, and that the third neutrino is the lightest neutrino. With the exact S_3 only, there are 10 real parameters and five phases in the quark sector. A set of values of these parameters that are consistent with experimental observations is given.

15 pages, LaTeX, 1 figure, erros corrected

Cited by in corpus (143)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Neutrino Mass and Mixing: from Theory to Experiment
• Flavour physics of leptons and dipole moments
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Flavor structures of charged fermions and massive neutrinos
• The Unique Horizontal Symmetry of Leptons
• Models of Neutrino Masses and Mixings
• Symmetry of Lepton Mixing
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Neutrino Mass Matrix from S_4 Symmetry
• Phenomenological Tests of Supersymmetric A_4 Family Symmetry Model of Neutrino Mass
• Tri-bimaximal mixing, discrete family symmetries, and a conjecture connecting the quark and lepton mixing matrices
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• The Flavor Group Delta(6n^2)
• S3 x Z2 model for neutrino mass matrices
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• String-derived D4 flavor symmetry and phenomenological implications
• Finite flavour groups of fermions
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Relatively large theta13 and nearly maximal theta23 from the approximate S3 symmetry of lepton mass matrices
• The S_3 flavor symmetry in 3-3-1 models
• Simple Finite Non-Abelian Flavor Groups
• A new family symmetry for SO(10) GUTs
• Model Predictions for Neutrino Oscillation Parameters
• Higgs Potential in Minimal S_3 Invariant Extension of the Standard Model
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Quark sector of S3 models: classification and comparison with experimental data
• An A4 model for lepton masses and mixings
• Phased Breaking of mu-tau symmetry and Leptogenesis
• The $S_3$ flavour symmetry: Neutrino masses and mixings
• Neutrino Mass and New Physics
• Analysis of an extended scalar sector with $S_3$ symmetry
• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns
• Minimal Mass Matrices for Dirac Neutrinos
• Nonabelian Discrete Family Symmetry to Soften the SUSY Flavor Problem and to Suppress Proton Decay
• Principal series of finite subgroups of SU(3)
• The discrete flavor symmetry D5
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• A new neutrino mass sum rule from inverse seesaw
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Resolving theta_{23} Degeneracy by Accelerator and Reactor Neutrino Oscillation Experiments
• Lepton Flavor Model from Delta(54) Symmetry
• Flavor Mass and Mixing and S_3 Symmetry -- An S_3 Invariant Model Reasonable to All --
• Fermion masses and mixing in modular A4 Symmetry
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Electron/Muon Specific Two Higgs Doublet Model
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• Fritzsch neutrino mass matrix from S3 symmetry
• Generating extremal neutrino mixing angles with Higgs family symmetries
• Determination of theta_{23} in Long-Baseline Neutrino Oscillation Experiments with Three-Flavor Mixing Effects
• S_3-flavour symmetry as realized in lepton flavour violating processes
• Flavor Violation in Supersymmetric Q_6 Model
• Variations on the Supersymmetric Q6 Model of Flavor
• The Cabibbo Angle in a Supersymmetric D14 Model
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Flavon Inflation
• $S_3$ symmetry and the quark mixing matrix
• Abelian family symmetries and the simplest models that give theta13=0 in the neutrino mixing matrix
• D6 Family Symmetry and Cold Dark Matter at LHC
• Testing the new CP phase in a Supersymmetric Model with Q6 Family Symmetry by Bs Mixing
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Neutrino Physics: Open Theoretical Questions
• Higgs potential in S_3 invariant model for quark/lepton mass and mixing
• $\mu -\tau$ Symmetry and Radiatively Generated Leptogenesis
• B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry
• Delta(54) Flavor Model for Leptons and Sleptons
• S_3 Flavor Symmetry and Leptogenesis
• Fermion masses and mixing in $\Delta (27)$ flavour model
• Exceptional Supersymmetric Standard Models with non-Abelian Discrete Family Symmetry
• Predictive Model of Inverted Neutrino Mass Hierarchy and Resonant Leptogenesis
• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
• Lepton Flavour Violation and Flavour Symmetries
• Novel signatures of the Higgs sector from S3 flavor symmetry
• Neutrino masses and mixings with an S3 family permutation symmetry
• Viable low-scale model with Universal and Inverse Seesaw Mechanisms
• Super Flavorsymmetry with Multiple Higgs Doublets
• Is the tri-bimaximal mixing accidental?
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Nearly tri-bimaximal mixing in the S_3 flavour symmetry
• The $S3$ Symmetric Model with a Dark Scalar
• Non-Abelian Discrete Flavor Symmetries
• Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry
• Constraints on Supersymmetric Flavour Models from b->s gamma
• The double mass hierarchy pattern: simultaneously understanding quark and lepton mixing
• Delta(54) flavor phenomenology and strings
• Triangle Relation of Dark Matter, EDM and CP Violation in B0 Mixing in a Supersymmetric Q6 Model
• Low scale gravity as the source of neutrino masses?
• A neutrino mass model with S3 symmetry and see-saw interplay
• High-scale validity of a model with Three-Higgs-doublets
• Type III seesaw under $A_4$ modular symmetry with leptogenesis
• Lepton masses and mixing in a two-Higgs-doublet model
• Quark mixing in an $S_3$ symmetric model with two Higgs doublets
• Constraints from neutrino masses and muon (g-2) in the bilinear R-parity violating supersymmetric model
• Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix
• The $S_3$ symmetry: Flavour and texture zeroes
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Fermion masses in E_6 grand unification with family permutation symmetries
• R-Parity Violation and Non-Abelian Discrete Family Symmetry
• Double Suppression of FCNCs in Supersymmetric Models
• Dihedral Flavor Symmetry from Dimensional Deconstruction
• Collider signatures of vector-like fermions from a flavor symmetric model
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• Muon anomalies and the $SU(5)$ Yukawa relations
• Quark/lepton mass and mixing in S_3 invariant model and CP-violation of neutrino
• Flavor Symmetry Based MSSM (sMSSM): Theoretical Models and Phenomenological Analysis
• Complex $S_3$-symmetric 3HDM
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Theoretical Models of Neutrino Mixing: Recent Developments
• Quark masses and mixings in E6 x S3 : a montecarlo approach
• Three generations of colored fermions with $S_3$ family symmetry from Cayley-Dickson sedenions
• An $S_3$ flavored left-right symmetric model of quarks
• Lepton Family Symmetry and Neutrino Mass Matrix
• Testing Flavor Symmetries by B-Factory
• Symmetryless Dark Matter
• Phenomenology of an Extended $1+2$ Higgs Doublet Model with $S_3$ Family Symmetry
• Muon g-2 through a flavor structure on soft SUSY terms
• New Prediction For Leptonic Theta_13
• Phenomenology of extended multiHiggs doublet models with $S_4$ family symmetry
• Lepton flavour violating processes in an S_3-symmetric model
• Broken $S_{3\mathrm{L}}^{}\times S_{3\mathrm{R}}^{}$ Flavor Symmetry and Leptonic CP Violation
• Scalar triplet leptogenesis in the presence of right-handed neutrinos with S3 symmetry
• Algebraic realisation of three fermion generations with $S_3$ family and unbroken gauge symmetry from $\mathbb{C}\ell (8)$
• An $A_5$ inverse seesaw model with perturbed golden ratio mixing
• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• Prospects of Indirect Detection for the Heavy S3 Dark Doublet
• Inverted neutrino mass hierarchies from U(1) symmetries
• A non-renormalizable neutrino mass model with ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ symmetry
• Flavor Imprints on Novel Low Mass Dark Matter
• Flavour in $SU(5)$ Finite Grand Unified Models
• Partial mass-degeneracy and spontaneous CP violation in the lepton sector
• A comparative study between the modified Fritzsch and nearest neighbor interaction textures
• Minimal A4 Type-II Seesaw Realization of Testable Neutrino Mass Sum Rules
• Scalar and gauge sectors in the 3-Higgs Doublet Model under the S3-symmetry
• Spontaneous CP breaking in $S_3$ flavored Higgs sector with soft-breaking terms