In the framework of the supersymmetric SU(3)c × SU(2) × U(1) gauge theory and the standard grand unification, the fermion mass ratio mb/mτ and the upper bound of the top quark mass are calculated by means of the renormalization group equations for the Yukawa couplings. It is found that the ratio mb/mτ remains in the phenomenologically acceptable domain for all possible values of the top quark mass whose perturbative upper bound is about 200 GeV. We also examine the structure of the Higgs potential with softly supersymmetry breaking mass terms to find some relations of the scalar masses. There should be a scalar whose mass in less than MZ in a class of models with the soft-breaking mass terms.
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Inoue et al. (1982) studied this question.