Simple Non-Abelian Finite Flavor Groups and Fermion Masses

Abstract

The use of nonabelian discrete groups G as family symmetries is discussed in detail. Out of all such groups up to order g = 31, the most appealing candidates are two subgroups of SU(2): the dicyclic [double dihedral] group G = $Q_6={}^{(d)}{D}_3$ ( g = 12 ) and the double tetrahedral group ${}^{(d)}T=Q_4\tilde{\times }{Z}_3$ ( g = 24 ). Both can allow a hierarchy $t>b,\tau >c>s,\mu >u,d,e$. The top quark is uniquely allowed to have a G symmetric mass. Sequential breaking of G and radiative corrections give the smaller masses. Anomaly freedom for gauging $G\subset SU(2)$ is a strong constraint in assignment of fermions to representations of G.

23 pages, IFP-702-UNC and VAND-TH-94-8

Cited by in corpus (133)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Neutrino Mass and Mixing: from Theory to Experiment
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Stringy origin of non-Abelian discrete flavor symmetries
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• Models of Neutrino Masses and Mixings
• CP and Discrete Flavour Symmetries
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• (Non-)Abelian discrete anomalies
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• The Flavor Group Delta(6n^2)
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• S4 as a natural flavor symmetry for lepton mixing
• keV Neutrino Model Building
• S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT
• String-derived D4 flavor symmetry and phenomenological implications
• Flavor Symmetry for Quarks and Leptons
• Group Theoretical Origin of CP Violation
• An A4 flavor model for quarks and leptons in warped geometry
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• Neutrino mixing from the double tetrahedral group T^{\prime}
• Generalised Geometrical CP Violation in a $T^{\prime }$ Lepton Flavour Model
• Q_6 flavor symmetry model for the extension of the minimal standard model by three right-handed sterile neutrinos
• A Supersymmetric D4 Model for mu-tau Symmetry
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• Minimal Mass Matrices for Dirac Neutrinos
• Nonabelian Discrete Symmetries, Fermion Mass Textures and Large Neutrino Mixing
• Nonabelian Discrete Family Symmetry to Soften the SUSY Flavor Problem and to Suppress Proton Decay
• Principal series of finite subgroups of SU(3)
• Fermion Masses and Neutrino Oscillations in SO(10) SUSY GUT with D_3 x U(1) Family Symmetry
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• The discrete flavor symmetry D5
• A Viable Randall-Sundrum Model for Quarks and Leptons with T' Family Symmetry
• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
• Classifying Accidental Symmetries in Multi-Higgs Doublet Models
• The $\Delta (27)$ flavor 3-3-1 model with neutral leptons
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• Lepton Flavor Model from Delta(54) Symmetry
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Classification of Conformality Models Based on Nonabelian Orbifolds
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• Goldstone Bosons in Effective Theories with Spontaneously Broken Flavour Symmetry
• Fritzsch neutrino mass matrix from S3 symmetry
• On the finite subgroups of U(3) of order smaller than 512
• Non-Abelian Discrete Dark Matter
• Predictions of Neutrino Mixing Angles in a T'Model
• Horizontal Symmetry for Quark and Squark Masses in Supersymmetric SU(5)
• Lepton flavor at the electroweak scale: A complete A4 model
• Large θ_13 in a SUSY SU(5)xT' Model
• Three-Higgs-doublet model with $A_4$ symmetry
• Flavor Violation in Supersymmetric Q_6 Model
• Top quark asymmetry and Wjj excess at CDF from gauged flavor symmetry
• Variations on the Supersymmetric Q6 Model of Flavor
• Textures for Neutrino Mass Matrices
• The Cabibbo Angle in a Supersymmetric D14 Model
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Desperately Seeking Supersymmetry [SUSY]
• mu-tau Symmetry and Charged Lepton Mass Hierarchy in a Supersymmetric D4 Model
• Origin of family symmetries
• Mapping out SU(5) GUTs with non-Abelian discrete flavor symmetries
• D6 Family Symmetry and Cold Dark Matter at LHC
• Delta(54) Flavor Model for Leptons and Sleptons
• Quartification with T' Flavor
• Large loop effects of extra SUSY Higgs doublets to CP violation in B^0 mixing
• Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory
• D14 - A Common Origin of the Cabibbo Angle and the Lepton Mixing Angle theta^l_13
• A Hexagonal Theory of Flavor
• Super Flavorsymmetry with Multiple Higgs Doublets
• Quark Masses in Supersymmetric SU(3)color x SU(3)W x U(1)X Model with Discrete T' flavor symmetry
• Dicyclic Horizontal Symmetry and Supersymmetric Grand Unification
• Chiral Fermions and AdS/CFT Duality for a Nonabelian Orbifold
• "Heterotic" Discrete Flavor Model
• Triangle Relation of Dark Matter, EDM and CP Violation in B0 Mixing in a Supersymmetric Q6 Model
• Lepton masses and mixing in a two-Higgs-doublet model
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• An A_5 Model of Four Lepton Generations
• Unified model of fermion masses with Wilson line flavor symmetry breaking
• Nonzero theta_13 signals nonmaximal atmospheric neutrino mixing
• Dark Matter from Binary Tetrahedral Flavor Symmetry
• Common origin of θ_{13} and Δm^2_{12} in a model of neutrino mass with quaternion symmetry
• LHC Higgs Production and Decay in the T' Model
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• R-Parity Violation and Non-Abelian Discrete Family Symmetry
• Quiver Gauge Theory and Conformality at the TeV Scale
• Compact model for Quarks and Leptons via flavored-Axions
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Analysis of Quark Mixing Using Binary Tetrahedral Flavor Symmetry
• Collider signatures of vector-like fermions from a flavor symmetric model
• Flavor Symmetry Based MSSM (sMSSM): Theoretical Models and Phenomenological Analysis
• Discrete Anomalies of Binary Groups
• Muon anomalies and the $SU(5)$ Yukawa relations
• The flavor problem and discrete symmetries
• Dihedral Flavor Symmetry from Dimensional Deconstruction
• Revisiting Leptogenesis in a SUSY SU(5) x T' Model of Flavour
• CP violation and FCNC in a warped A4 flavor model
• Fermion masses and mixings and $g-2$ muon anomaly in a 3-3-1 model with $D_4$ family symmetry
• Neutrino Mass Models: circa 2008
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Flavor from the double tetrahedral group without supersymmetry: flavorful axions and neutrinos
• Fermion Mixings in SU(9) Family Unification
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Flavor from the double tetrahedral group without supersymmetry
• Leptogenesis in a Hybrid Texture Neutrino Mass Model
• Strong coupling, discrete symmetry and flavour
• Leptons and Quarks from a Discrete Flavor Symmetry
• Fermion masses and flavor mixings and strong CP problem
• Neutrino mass matrix with U(2) flavor symmetry and neutrino oscillations
• Stable lepton mass matrices
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons
• Pocket Formulae for Non-Abelian Discrete Anomaly Freedom
• Consistency Conditions for AdS/CFT Embeddings
• Reconstructing Effective Lagrangians Embedding Residual Family Symmetries
• Towards a Model of Quarks and Leptons
• Lepton Flavor Violation in Complex SUSY Seesaw Models with Nearly Tribimaximal Mixing
• Flavor's Delight
• A Radiative Model of Quark Masses with Binary Tetrahedral Symmetry
• Prediction for $\Gamma (H\to {\tau }^{+}{\tau }^{-})/\Gamma (H\to {\mu }^{+}{\mu }^{-})$ from Non-Abelian Flavor Symmetry
• Computation of the masses of the elementary particles
• Linking Geometric Mass Hierarchy with Threefold Family Replication
• Flavor Imprints on Novel Low Mass Dark Matter
• Higgs-Flavor Groups, Naturalness, and Dark Matter
• Second Octant Favored for Non-Maximal ${\theta }_{23}$
• Minimal A4 Type-II Seesaw Realization of Testable Neutrino Mass Sum Rules
• QCD axion and Neutrino induced by Hidden flavor structure