A model of quarks with Delta (6N^2) family symmetry

Abstract

We propose a first model of quarks based on the discrete family symmetry Delta (6N^2) in which the Cabibbo angle is correctly determined by a residual Z_2 times Z_2 subgroup, and the smaller quark mixing angles may be qualitatively understood from the model. The present model of quarks may be regarded as a first step towards formulating a complete model of quarks and leptons based on Delta (6N^2), in which the lepton mixing matrix is fully determined by a Klein subgroup. For example, the choice N=28 provides an accurate determination of both the reactor angle and the Cabibbo angle.

arXiv comment12 pages, 5 figures; reference added

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• Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing
• Adjoint $SU(5)$ GUT model with $T_7$ flavor symmetry
• A novel Randall-Sundrum model with $S_3$ flavor symmetry
• Quark mixing from Delta(6N^2) family symmetry
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Muon anomalies and the $SU(5)$ Yukawa relations
• Precise predictions for Dirac neutrino mixing
• Unifying CP violations of quark and lepton sectors
• High scale mixing relations as a natural explanation for large neutrino mixing
• Pocket Formulae for Non-Abelian Discrete Anomaly Freedom
• The CKM matrix from anti-SU(7) unification of GUT families
• Majorana phases in high-scale mixings unification hypotheses