The Double Cover of the Icosahedral Symmetry Group and Quark Mass Textures

Abstract

We investigate the idea that the double cover of the rotational icosahedral symmetry group is the family symmetry group in the quark sector. The icosahedral (A5) group was previously proposed as a viable family symmetry group for the leptons. To incorporate the quarks, it is highly advantageous to extend the group to its double cover, as in the case of tetrahedral (A4) symmetry. We provide the basic group theoretical tools for flavor model-building based on the binary icosahedral group I' and construct a model of the quark masses and mixings that yields many of the successful predictions of the well-known U(2) quark texture models.

10 pages, references added, typos in up quark mass matrix corrected

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Cited by in corpus (20)

• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Double Covering of the Modular $A_5^{}$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
• Mixing angle and phase correlations from A5 with generalised CP and their prospects for discovery
• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• A Golden A_5 Model of Leptons with a Minimal NLO Correction
• 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
• Inverse seesaw in $A_5^{\prime }$ modular symmetry
• Golden ratio lepton mixing and nonzero reactor angle with $A_5$
• Lepton Mixing in $A_5$ Family Symmetry and Generalized CP
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• Renormalisation group improved leptogenesis in family symmetry models
• Quark mixing in the discrete dark matter model
• Lepton Flavor Model and Decaying Dark Matter in The Binary Icosahedral Group Symmetry
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Flavor Symmetry Based MSSM (sMSSM): Theoretical Models and Phenomenological Analysis
• Binary Icosahedral Flavor Symmetry for Four Generations of Quarks and Leptons
• One-parameter Neutrino Mass Matrix and Symmetry Realization