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  • Access by Xinjiang University

Flavor unification and discrete non-Abelian symmetries

David B. Kaplan and Martin Schmaltz

  • Department of Physics, 9500 Gilman Drive 0319, University of California, San Diego, La Jolla, California 92093-0319

Phys. Rev. D 49, 3741 – Published 1 April, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.3741

Abstract

Grand unified theories with fermions transforming as irreducible representations of a discrete non-Abelian flavor symmetry can lead to realistic fermion masses, without requiring small fundamental parameters. We construct a specific example of a supersymmetric GUT based on the flavor symmetry Δ(75), a subgroup of SU(3), which can explain the observed quark and lepton masses and mixing angles. The model predicts tanβ≃1 and gives a τ neutrino mass mνMp/GFMGUT2=10 eV, with other neutrino masses much lighter. Combined constraints of light quark masses and perturbative unification place flavor symmetry-breaking near the GUT scale; it may be possible to probe these extremely high energies by continuing the search for flavor-changing neutral currents.

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