Flavor Symmetry for Quarks and Leptons

Abstract

Present data on neutrino masses and mixing favor the highly symmetric tribimaximal neutrino mixing matrix which suggests an underlying flavor symmetry. A systematic study of non-abelian finite groups of order $g\le 31$ reveals that tribimaximal mixing can be derived not only from the well known tetrahedral flavor symmetry $T\equiv A_4$, but also by using the binary tetrahedral symmetry $T^{{}^{\prime }}\equiv S{L}_2(F_3)$ which does not contain the tetrahedral group as a subgroup. $T^{{}^{\prime }}$ has the further advantage that it can also neatly accommodate the quark masses including a heavy top quark.

arXiv comment12 pages latex. More typos corrected

References in corpus (31)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• 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, A4 and the Modular Symmetry
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• Cosmological Sign of Neutrino CP Violation
• Very Special Relativity
• Zeroes of the Neutrino Mass Matrix
• 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
• Tri-bimaximal Neutrino Mixing from Orbifolding
• Tribimaximal Neutrino Mixing from a Supersymmetric Model with A_4 Family Symmetry
• Simple Non-Abelian Finite Flavor Groups and Fermion Masses
• Neutrino Mass Matrix from S_4 Symmetry
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Neutrino Mass Matrix from Delta(27) Symmetry
• Maximal Neutrino Mixing from a Minimal Flavor Symmetry
• Quark Masses and Mixing with A4 Family Symmetry
• Can the Zee ansatz for neutrino masses be correct?
• U(2) Flavor Physics without U(2) Symmetry
• A Lorentz-Violating Origin of Neutrino Mass?
• U(2)-like Flavor Symmetries and Approximate Bimaximal Neutrino Mixing
• Classification of Conformality Models Based on Nonabelian Orbifolds
• Minimal Family Unification
• Group Theoretic Bases for Tribimaximal Mixing
• Supersymmetric Model of Radiative Seesaw Majorana Neutrino Masses
• Normal and Special Models of Neutrino Masses and Mixings
• Neutrino Mass, Dark Matter, and Leptogenesis
• Application of Finite Groups to Neutrino Mass Matrices

Cited by in corpus (80)

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• CP Violation and Neutrino Oscillations
• The Unique Horizontal Symmetry of Leptons
• Revisiting Bimaximal Neutrino Mixing in a Model with S4 Discrete Symmetry
• Fermion Masses and Mixings in a S4 Based Model
• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• The Flavor Group Delta(6n^2)
• Phenomenological Consequences of See-Saw in S4 Based Models
• A SUSY GUT of Flavour with S4 x SU(5) to NLO
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C
• The 3-3-1 model with S_4 flavor symmetry
• The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• Fermion Mass Hierarchies and Flavor Mixing from $T^{\prime }$ Symmetry
• Simplified Renormalizable $T^{{}^{\prime }}$ Model for Tribimaximal Mixing and Cabibbo Angle
• A new family symmetry for SO(10) GUTs
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• Neutrino mixing from the double tetrahedral group T^{\prime}
• A Supersymmetric Grand Unified Theory of Flavour with PSL(2,7) x SO(10)
• Tri-Bimaximal Lepton Mixing and Leptogenesis
• Lepton Flavour Violation in a Supersymmetric Model with A4 Flavour Symmetry
• Principal series of finite subgroups of SU(3)
• $T^{{}^{\prime }}$ Predictions of PMNS and CKM Angles
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Lepton flavor at the electroweak scale: A complete A4 model
• Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry
• Three-Higgs-doublet model with $A_4$ symmetry
• Radiative seesaw-type mechanism of quark masses in SU(3\)_{C}\otimes SU(3\)_{L}\otimes U\(1\)_{X}$
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry
• Lepton Flavor Violation in Models with $A_4$ and $S_4$ Flavor Symmetries
• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Quartification with T' Flavor
• Lectures on Models of Neutrino Masses and Mixings
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Quark Masses in Supersymmetric SU(3)color x SU(3)W x U(1)X Model with Discrete T' flavor symmetry
• Lepton masses and mixings in a $T^{\prime }$ flavoured 3-3-1 model with type I and II seesaw mechanisms
• Neutrino Mixing Angles in Sequential Dominance to NLO and NNLO
• Non-Abelian Discrete Flavor Symmetries
• "Heterotic" Discrete Flavor Model
• An A_5 Model of Four Lepton Generations
• Quark mass hierarchy in 3-3-1 models
• Dimension-five effective operators in electro-weak SU(4)xU(1) gauge models
• Dark Matter from Binary Tetrahedral Flavor Symmetry
• Informationally complete characters for quark and lepton mixings
• Nonzero theta_13 signals nonmaximal atmospheric neutrino mixing
• LHC Higgs Production and Decay in the T' Model
• Analysis of Quark Mixing Using Binary Tetrahedral Flavor Symmetry
• Probing Lepton Flavor Models at Future Neutrino Experiments
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Quark mixing in the discrete dark matter model
• Theory of the Neutrino Mass
• S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model
• The flavor problem and discrete symmetries
• Discrete Anomalies of Binary Groups
• Rare muon and tau decays in A4 Models
• 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
• Theoretical Models of Neutrino Mixing: Recent Developments
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Fermion Mixings in SU(9) Family Unification
• Flavor from the double tetrahedral group without supersymmetry
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Strong coupling, discrete symmetry and flavour
• Symmetryless Dark Matter
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• CP violations in a predictive $A_4$ symmetry model
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• A Radiative Model of Quark Masses with Binary Tetrahedral Symmetry
• B meson decay anomaly with a non-universal U(1)' extension
• Flavor's Delight
• Higgs-Flavor Groups, Naturalness, and Dark Matter