Fermion mass hierarchies in low energy supergravity and superstring models

P. Binetruy; E. Dudas

doi:10.1016/s0550-3213(95)00069-0

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arXiv · hep-ph/9411413

Fermion mass hierarchies in low energy supergravity and superstring models

P. Binetruy·E. Dudas

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Abstract

We investigate the problem of the fermion mass hierarchy in supergravity models with flat directions of the scalar potential associated with some gauge singlet moduli fields. The low-energy Yukawa couplings are nontrivial homogeneous functions of the moduli and a geometric constraint between them plays, in a large class of models, a crucial role in generating hierarchies. Explicit examples are given for no-scale type supergravity models. The Yukawa couplings are dynamical variables at low energy, to be determined by a minimization process which amounts to fixing ratios of the moduli fields. The Minimal Supersymmetric Standard Model (MSSM) is studied and the constraints needed on the parameters in order to have a top quark much heavier than the other fermions are worked out. The bottom mass is explicitly computed and shown to be compatible with the experimental data for a large region of the parameter space.

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P. Binetruy, E. Dudas. 1994-11-28. Fermion mass hierarchies in low energy supergravity and superstring models. https://doi.org/10.1016/s0550-3213(95)00069-0

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