Flavor Unification and Discrete Nonabelian Symmetries

Details Flavor Unification and Discrete Nonabelian Symmetries Flavor Unification and Discrete Nonabelian Symmetries

1993-11-12

arxiv.org/abs/hep-ph/9311281v1

Phys.Rev. D49 (1994) 3741-3750

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, UCSD-PTH-93-30 (uuencoded file; requires epsf.tex, available from this bulletin board)

Scientific paper

10.1103/PhysRevD.49.3741

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 $\Delta(75)$ --- a subgroup of $SU(3)$ --- which can explain the observed quark and lepton masses and mixing angles. The model predicts $\tan\beta \simeq 2-5$ and gives a $\tau$ neutrino mass $m_\nu\simeq M_p/G_F M_{GUT}^2 = 10$ 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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