Abstract
We solve analytically the one-loop renormalization group equations for the fermion mass matrices and the quartic coupling, assuming a perturbative SU(3)×SU(2)×U(1) desert, one elementary Higgs boson and any number of families. The low energy asymptotic forms of our exact results show how the infrared fixed point structure arises and leads to predictions of heavy family masses. The sum of the squares of the quark masses is (290 GeV) 2 and the Higgs mass is 240 GeV, for one heavy family; similar predictions hold if there are more families.
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