Dicyclic Horizontal Symmetry and Supersymmetric Grand Unification

Abstract

It is shown how to use as horizontal symmetry the dicyclic group $Q_6\subset SU(2)$ in a supersymmetric unification $SU(5)\otimes SU(5)\otimes SU(2)$ where one $SU(5)$ acts on the first and second families, in a horizontal doublet, and the other acts on the third. This can lead to acceptable quark masses and mixings, with an economic choice of matter supermultiplets, and charged lepton masses can be accommodated.

10 pages, LaTeX

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• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Neutrino Oscillations in a Predictive SUSY GUT
• A Simple Phenomenological Parametrization of Supersymmetry without R-Parity
• Horizontal Symmetry for Quark and Squark Masses in Supersymmetric SU(5)
• The Cabibbo Angle in a Supersymmetric D14 Model
• The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures
• Long-Lived Quarks?
• Gauged SO(3) family symmetry and squark mass degeneracy
• Triangle Relation of Dark Matter, EDM and CP Violation in B0 Mixing in a Supersymmetric Q6 Model
• Flavor ``Conservation'' and Hierarchy in TeV-scale Supersymmetric Standard Model
• Discrete Anomalies of Binary Groups
• Large Top Quark Yukawa Coupling and Horizontal Symmetries
• SU(5)xSU(5)' unification and D2 parity: Model for composite leptons
• The Three Families from $SU(4{)}_A\otimes SU(3{)}_C\otimes SU(2{)}_L\otimes U(1{)}_X$ SM-like Chiral Models
• Limit on T-Violating P-Conserving $\rho NN$ Interaction from the $\gamma$ Decay of ${}^{57}$Fe
• Linking Geometric Mass Hierarchy with Threefold Family Replication
• Quarks, Squarks and Textures