Problem of flavour in SUSY GUT and horizontal symmetry

Abstract

The concept of non-abelian horizontal symmetry $SU(3{)}_H$ can greatly help in understanding the fermion and sfermion flavour structures in supersymmetric grand unification. For the sake of demonstration the $SU(5)\times SU(3{)}_H$ model, suggested earlier in ref. \cite{PLB85}, is revisited. We show that under very simple and natural assumption it links the sfermion mass pattern to those of fermions in a remarkable way. All dangerous supersymmetric flavour-changing contributions are naturally suppressed in a general case, independently of the concrete texture for fermion mass matrices. Nevertheless, within this framework we present an example of predictive model for fermion masses and mixing, which leads to 7 consistent predictions for the low energy observables. [Based on talks given at Int. Workshop {\em `SUSY 96'}, Univ. of Maryland, 29 May - 1 June 1996 (to appear on Proceedings), and II US-Polish Workshop {\em `Physics from Planck Scale to Electroweak Scale'}, Warsaw, 28-30 March 1996.]

12 pages, LATEX, no figures

References in corpus (11)

• Should Squarks Be Degenerate?
• Signals For Supersymmetric Unification
• Horizontal Symmetries for the Supersymmetric Flavor Problem
• Mass Matrix Textures From Superstring Inspired SO(10) Models
• Could the Supersymmetric Higgs Particles Naturally be Pseudo-Goldstone Bosons?
• Flavour in supersymmetric Grand Unification: a democratic approach
• SUSY SU(6) GIFT for doublet-triplet splitting and fermion masses
• Strings versus supersymmetric GUTs: can they be reconciled?
• Superfield Derivation of the Low-Energy Effective Theory of Softly Broken Supersymmetry
• "An SO(10) Solution to the Puzzle of Quark and Lepton Masses"
• Predictive SUSY SO(10) model with very low $\tan \beta$

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• Chances for SUSY-GUT in the LHC Epoch
• Fermion Mass Hierarchy without Flavour Symmetry
• Linking Geometric Mass Hierarchy with Threefold Family Replication