Flavor Unification and Discrete Nonabelian Symmetries release_vbuynwazzngnjbutfjypikv6jq

by David B. Kaplan, Martin Schmaltz

Released as a article .

1993  

Abstract

Grand unified theories with fermions transforming as irreducible representations of a discrete nonabelian flavor symmetry can lead to realistic fermion masses, without requiring very 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≃ 2-5 and gives a τ neutrino mass m_ν≃ M_p/G_F M_GUT^2 = 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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Date   1993-11-12
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