Abstract
We consider the infrared quasi fixed point solutions of the renormalization group equations for the Yukawa couplings and soft supersymmetry breaking parameters in the MSSM in the large tan β regime. The existence of ir quasi fixed points together with the values of gauge couplings, third generation quarks, lepton and Z-boson masses allows one to predict masses of the Higgs bosons and SUSY particles as functions of the only free parameter, m1/2, or the gluino mass. The lightest Higgs boson mass for M SUSY ≈1 TeV is found to be mh=128.2-0.4-7.1± 5 GeV for μ>0 and mh= 120.6-0.1-3.8±5 GeV for μ<0.
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