Flavor Mass and Mixing and S_3 Symmetry -- An S_3 Invariant Model Reasonable to All --

Abstract

We assume that weak bases of flavors (u, c)_{L,R}, (d,s)_{L,R}, (e, μ) _{L,R}, (ν_e, ν_μ)_{L,R} are the S_3 doublet and t_{L,R}, b_{L,R}, τ_{L,R}, {ν_τ}_{L,R} are the S_3 singlet and further there are S_3 doublet Higgs (H_D^1, H_D^2) and S_3 singlet Higgs H_S. We suggest an S_3 invariant Yukawa interaction, in which masses caused from the interaction of S_3 singlet flavors and Higgs is very large and masses caused from interactions of S_3 doublet flavors and Higgs are very small, and the vacuum expectation value <|H_D^1|>_0 is rather small compared to the <|H_D^2|>_0. In this model, we can explain the quark sector mass hierarchy, flavor mixing V_{CKM} and measure of CP violation naturally. The leptonic sector mass hierarchy and flavor mixing described by V_{MNS} having one-maximal and one-large mixing character can also be explained naturally with no other symmetry restriction. In our model, an origin of Cabibbo angle is the ratio λ=<|H_D^1|>_0 /<|H_D^2|>_0 and an origin of CP violation is the phase of H_D^1.

16 pages

References in corpus (9)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Search for neutrino oscillations on a long base-line at the CHOOZ nuclear power station
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• The Flavor Symmetry
• Higgs Potential in Minimal S_3 Invariant Extension of the Standard Model
• Predictions from the Fritzsch-Type Lepton Mass Matrices
• The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing
• Neutrino Large Mixing in Universal Yukawa Coupling Model with Small Violation

Cited by in corpus (36)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Flavour physics of leptons and dipole moments
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• The Unique Horizontal Symmetry of Leptons
• Lepton masses and mixings in a $A_4$ multi-Higgs model with radiative seesaw mechanism
• Model Predictions for Neutrino Oscillation Parameters
• Quark sector of S3 models: classification and comparison with experimental data
• An A4 model for lepton masses and mixings
• Analysis of an extended scalar sector with $S_3$ symmetry
• Exotic Higgs boson decay modes as a harbinger of $S_3$ flavor symmetry
• 'Mu-Tau' symmetry, tribimaximal mixing and four zero neutrino Yukawa textures
• Fritzsch neutrino mass matrix from S3 symmetry
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• $S_3$ discrete group as a source of the quark mass and mixing pattern in $331$ models
• Gauge boson families in grand unified theories of fermion masses: E_6^4 x S_4
• $S_3$ symmetry and the quark mixing matrix
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Discrete symmetries and models of flavor mixing
• Higgs potential in S_3 invariant model for quark/lepton mass and mixing
• Non-Abelian discrete R symmetries
• Novel signatures of the Higgs sector from S3 flavor symmetry
• Lepton Flavour Violation and Flavour Symmetries
• Lectures on Models of Neutrino Masses and Mixings
• Super Flavorsymmetry with Multiple Higgs Doublets
• Non-Abelian Discrete Flavor Symmetries
• High-scale validity of a model with Three-Higgs-doublets
• Quark mixing in an $S_3$ symmetric model with two Higgs doublets
• Quark/lepton mass and mixing in S_3 invariant model and CP-violation of neutrino
• Large Leptonic Dirac CP Phase from Broken Democracy with Random Perturbations
• Complex $S_3$-symmetric 3HDM
• Theoretical Models of Neutrino Mixing: Recent Developments
• An $S_3$ flavored left-right symmetric model of quarks
• Testing Flavor Symmetries by B-Factory
• Broken $S_{3\mathrm{L}}^{}\times S_{3\mathrm{R}}^{}$ Flavor Symmetry and Leptonic CP Violation
• Broken Democracy with Intermediate ${\mathbb{S}}_2\times {\mathbb{S}}_2$ Residual Symmetry and Random Perturbations
• Spontaneous CP breaking in $S_3$ flavored Higgs sector with soft-breaking terms