Problem of flavour in SUSY GUT and horizontal symmetry

Details Problem of flavour in SUSY GUT and horizontal symmetry Problem of flavour in SUSY GUT and horizontal symmetry

1996-07-18

arxiv.org/abs/hep-ph/9607363v1

Nucl.Phys.Proc.Suppl.52A:153-158,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LATEX, no figures

Scientific paper

10.1016/S0920-5632(96)00552-X

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.]

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