Predictions of mb/mτm_b/m_{\tau} and mtm_t in an Asymptotically Non-Free Theory

We discuss an extention of the Minimal Supersymmetric Standard Model (MSSM) with the 4th and anti-4th generations which have $SU(2)_L\times U(1)_Y$ invariant masses. Due to the the extra generations, all three running gauge couplings become asymptotically non--free while preserving gauge coupling unification at the GUT scale. We show that due to the asymptotically non--free character of the gauge couplings: (1) the top and bottom Yukawa couplings are strongly focused onto infrared fixed points as they are evolved down in scale making their values at \mu=\mz insensitive to their initial values at \mu=\mgut; (2) the model predicts \R(\mz) \equiv Y_b/Y_\tau |_{\mu =\mz}\approx 1.8, which is consistent with the experimental value provided we take the ratio of Yukawa couplings at the GUT scale to be \R(\mgut) = Y_b/Y_\tau |_{\mu = \mgut} = 1/3; (3) the $t$ mass prediction comes out to be \mt\approx 180\,\GeV which is also consistent with experiment.Comment: 20 pgs. 7 figures. Latex2e. othersym.sty, suceqn.sty include