Upper limits on the mass mf of a fermion in the Glashow-Weinberg-Salam model were previously found by requiring that our vacuum be an absolute minimum of the one-loop Higgs potential; for a Higgs-boson mass mH150 GeV, it was found that mf100 GeV. We note that including the effect of running couplings in the one-loop term enlarges the range of allowed masses based on this constraint. Requiring only that the universe arrive in our vacuum and stay there for over 10¹⁰ yr further increases this bound to mf200 GeV.
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Flores et al. (1983) studied this question.
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