Horizontal Symmetry for Quark and Squark Masses in Supersymmetric SU(5)

Abstract

Recent interest in horizontal symmetry model building has been driven mainly by the large top mass and hence strong hierarchy in quark masses, and the possibility of appropriately constrained soft squark mass matrices, in place of an assumed universality condition, for satisfying the relevant FCNC constraints. Here we present the first successful SUSY-$SU(5)$ model that has such a feature. The horizontal symmetry is a gauged $(Q_{12}\times U(1){)}_H$ ($\subset (SU(2)\times U(1){)}_H$). All nonrenormalizable terms compatible with the symmetry are allowed in the mass matrix constructions. Charged lepton masses can also be accommodated.

15 pages, latex, 1 latex figure included version to be published in Phys. Rev. Lett. ; some small changes in notations and presentation, a small paragragh and 3 references added

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• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• The little flavons
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• Neutrino masses and non abelian horizontal symmetries
• Flavor and electroweak symmetry breaking at the TeV scale
• Quarks, Squarks and Textures
• Linking Geometric Mass Hierarchy with Threefold Family Replication
• Possible Bilepton Resonances in Like-Sign Pairs
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