Dihedral Families of Quarks, Leptons and Higgs Bosons

Abstract

We consider finite groups of small order for family symmetry. It is found that the binary dihedral group Q_6, along with the assumption that the Higgs sector is of type II, predicts mass matrix of a nearest neighbor interaction type for quarks and leptons. We present a supersymmetric model based on Q_6 with spontaneously induced CP phases. The quark sector contains 8 real parameters with one independent phase to describe the quark masses and their mixing. Predictions in the |V_{ub}|-bar{eta}, |V_{ub}|-sin 2 beta(phi_1) and |V_{ub}|-|V_{td}/V_{ts}| planes are given. The lepton sector contains also 9 parameters. A normal as well as an inverted spectrum of neutrino masses is possible, and we compute V_{e3}. We find that |V_{e3}|^2 > 10^{-4} in the case of a normal spectrum, and |V_{e3}|^2 >8 10^{-4} in the case of an inverted spectrum. It is also found that Q_6 symmetry forbids all Baryon number violating terms of d=4, and the contributions to EDMs from the A terms vanish in this model.

27 pages, 8 figures

References in corpus (4)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Quaternion Family Symmetry of Quarks and Leptons
• Fermion Mass Hierarchy and Electric Dipole Moments

Cited by in corpus (89)

• Flavour physics of leptons and dipole moments
• Flavor structures of charged fermions and massive neutrinos
• Stringy origin of non-Abelian discrete flavor symmetries
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• Neutrino Non-Standard Interactions: A Status Report
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• Neutrino Mass Matrix from S_4 Symmetry
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• The Flavor Group Delta(6n^2)
• keV Neutrino Model Building
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• String-derived D4 flavor symmetry and phenomenological implications
• Pieces of the Flavour Puzzle
• A new family symmetry for SO(10) GUTs
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Q_6 flavor symmetry model for the extension of the minimal standard model by three right-handed sterile neutrinos
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• Minimal Mass Matrices for Dirac Neutrinos
• Nonabelian Discrete Family Symmetry to Soften the SUSY Flavor Problem and to Suppress Proton Decay
• The discrete flavor symmetry D5
• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
• The $\Delta (27)$ flavor 3-3-1 model with neutral leptons
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• Resolving theta_{23} Degeneracy by Accelerator and Reactor Neutrino Oscillation Experiments
• Lepton Flavor Model from Delta(54) Symmetry
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• Nearest-Neighbour Interaction from an Abelian Symmetry and Deviations from Hermiticity
• Stability of dark matter from the D4xZ2 flavor group
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Relating quarks and leptons without grand-unification
• Flavor Violation in Supersymmetric Q_6 Model
• Top quark asymmetry and Wjj excess at CDF from gauged flavor symmetry
• Three-Higgs-doublet model with $A_4$ symmetry
• Variations on the Supersymmetric Q6 Model of Flavor
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• The Cabibbo Angle in a Supersymmetric D14 Model
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• 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
• Quark mixing sum rules and the right unitarity triangle
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• 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
• An S4 model for quarks and leptons with maximal atmospheric angle
• Predictive Model of Inverted Neutrino Mass Hierarchy and Resonant Leptogenesis
• Discrete Symmetry and CP Phase of the Quark Mixing Matrix
• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
• Super Flavorsymmetry with Multiple Higgs Doublets
• Discrete R-symmetry anomalies in heterotic orbifold models
• ${\theta }_{13}$, $\mu \tau$ symmetry breaking and neutrino Yukawa textures
• Non-Abelian Discrete Flavor Symmetries
• Triangle Relation of Dark Matter, EDM and CP Violation in B0 Mixing in a Supersymmetric Q6 Model
• Status of Neutrino Mass and Mixing
• Delta(54) flavor phenomenology and strings
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• Model of flavor with quaternion symmetry
• Common origin of θ_{13} and Δm^2_{12} in a model of neutrino mass with quaternion symmetry
• R-Parity Violation and Non-Abelian Discrete Family Symmetry
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• LHC Higgs Production and Decay in the T' Model
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
• Quark mixing in the discrete dark matter model
• Muon anomalies and the $SU(5)$ Yukawa relations
• Dihedral Flavor Symmetry from Dimensional Deconstruction
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• Discrete Anomalies of Binary Groups
• The flavor problem and discrete symmetries
• Collider signatures of vector-like fermions from a flavor symmetric model
• Flavor Symmetry Based MSSM (sMSSM): Theoretical Models and Phenomenological Analysis
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Nearest-Neighbour-Interactions from a minimal discrete flavour symmetry within SU(5) Grand Unification
• Neutrino phenomenology in a left-right $D_4$ symmetric model
• New Prediction For Leptonic Theta_13
• Testing Flavor Symmetries by B-Factory
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Quark Masses and Mixings with Hierarchical Friedberg-Lee Symmetry
• Neutrino Mass Matrices from Two Zero 3x2 Yukawa Textures and Minimal d=5 Entries
• General Issues Connecting Flavor Symmetry and Supersymmetry
• Determining quark and lepton mass matrices by a geometrical interpretation
• Partial mass-degeneracy and spontaneous CP violation in the lepton sector
• Fermion masses and mixings and $g-2$ muon anomaly in a $Q_6$ flavored 2HDM
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry
• Non-zero θ_13 in models for hierarchical neutrino mass spectrum
• Anomaly of discrete family symmetries and gauge coupling unification
• R-Parity Violation and Family Symmetry