Nonabelian Discrete Symmetries, Fermion Mass Textures and Large Neutrino Mixing

Abstract

Nonabelian discrete groups are an attractive tool to describe fermion masses and mixings. They have nonsinglet representations which seem particularly suitable for distinguishing the lighter generations from the heavier ones. Also, they do not suffer from the extra constraints a continuous group must obey, e.g. limits on extra particles. Some of the simplest groups are the nonabelian discrete subgroups of SO(3) and SU(2), the so called dihedral groups D_n and dicyclic groups Q_2n, which both have only singlet and doublet representations. After studying which vacuum expectation value (VEV) directions of representations of dihedral and dicyclic groups preserve which subgroups, we construct a simple model based on the group Q_6 \times Q_6. The model reproduces the masses and mixings of all quarks and leptons, including neutrinos. It has a large mixing angle in the mu - tau neutrino sector, in accordance with the recent SuperKamiokande results, while keeping a small quark mixing in the bottom - charm sector. The reason is similar to the one found in the literature based on the SU(5) group: the large_left_ handed mixing angle in the lepton sector corresponds to the large unphysical_right_ handed in the down quark sector. The large mixing is also responsible for the different hierarchies of the two heaviest families in the up and down sector, and can be summarized as the order of magnitude relation: m_s/m_b \sim tan(theta_μτ) \sqrt{m_c/m_t}

15 pages, revtex, no figures. Shortened version, dirac neutrino mass and typos corrected, reference added

Cited by in corpus (48)

• Neutrino Mass Models
• A 2-3 Symmetry in Neutrino Oscillations
• Models of Neutrino Masses and Mixings
• Neutrino oscillations and signals in beta and 0nu2beta experiments
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• Can Neutrino Mixings Arise from the Charged Lepton Sector?
• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• String-derived D4 flavor symmetry and phenomenological implications
• Bi-large Neutrino Mixing and CP violation in an SO(10) SUSY GUT for Fermion Masses
• Neutrino Masses and Lepton-Flavor Violation in Supersymmetric Models with lopsided Froggatt-Nielsen charges
• Models of Neutrino Masses: Anarchy versus Hierarchy
• Structure of neutrino mass matrix and CP violation
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• Minimal Mass Matrices for Dirac Neutrinos
• Charged lepton contributions to the solar neutrino mixing and theta_13
• The discrete flavor symmetry D5
• Bimaximal Neutrino Mixings from Lopsided Mass Matrices
• Limits on $T_{RH}$ for thermal leptogenesis with hierarchical neutrino masses
• Non-Abelian Discrete Groups from the Breaking of Continuous Flavor Symmetries
• Flavor Violation in Supersymmetric Q_6 Model
• Variations on the Supersymmetric Q6 Model of Flavor
• Flavour from accidental symmetries
• The Cabibbo Angle in a Supersymmetric D14 Model
• Minimal Seesaw Textures with Two Heavy Neutrinos
• Desperately Seeking Supersymmetry [SUSY]
• Obtaining the large angle MSW solution to the solar neutrino problem in models
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Models of Neutrino Masses and Mixings
• Super Flavorsymmetry with Multiple Higgs Doublets
• Small Dirac Neutrino Masses and R-parity from Anomalous U(1) Symmetry
• A Two Parameter Texture of Nearly Bi-maximal Neutrino Mixing
• Lepton Flavor Violation in the SUSY-GUT Models with Lopsided Mass Matrix
• Minimal archi-texture for neutrino mass matrices
• LHC Higgs Production and Decay in the T' Model
• Common origin of θ_{13} and Δm^2_{12} in a model of neutrino mass with quaternion symmetry
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Flavor Symmetry Based MSSM (sMSSM): Theoretical Models and Phenomenological Analysis
• Discrete Anomalies of Binary Groups
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Leptogenesis in a Hybrid Texture Neutrino Mass Model
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Neutrino masses and non abelian horizontal symmetries
• Asymmetry and Minimality of Quark Mass Matrices
• Symmetryless Dark Matter
• Neutrino-induced Electroweak Symmetry Breaking in Supersymmetric SO(10) Unification
• Progress on Models of Neutrino Masses and Mixings