Fermion Mass Hierarchy without Flavour Symmetry

Details Fermion Mass Hierarchy without Flavour Symmetry Fermion Mass Hierarchy without Flavour Symmetry

1998-04-18

arxiv.org/abs/hep-ph/9804325v2

Phys.Rev. D58 (1998) 093018

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, REVTex. Eq.(15) Corrected

Scientific paper

10.1103/PhysRevD.58.093018

We discuss a supersymmetric grand unified model which has gauge group SU(5) $\times$ SU(5) $\times$ SU(5), with matter fields transforming asymmetrically under different gauge SU(5) groups. We observe that the gauge structure of the model leads to approximate texture zero structures in fermion mass matrices and a natural hierarchy in the Yukawa couplings. The proton lifetime is estimated to be larger than $10^{34}$ years in this model. As in more conventional supersymmetric GUT models with product gauge groups, this model possesses no tensor fields with rank higher than 2, so that it might arise from a level 1 string construction.

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