Higgs mass prediction with non-universal soft supersymmetry breaking in MSSM

In the framework of the MSSM the non-universal boundary conditions of soft SUSY breaking parameters are considered. Taking as input the top, bottom an d Z-boson masses, the values of the gauge couplings at the EW scale and the infrared quasi-fixed points for Yukawa couplings and the soft parameters t he mass of the lightest CP-even Higgs boson is found to be m(h) = 92.7(-4.9 )(+10)+/-5+/-0.4GeV/c(2) for the low tan beta case and m(h) = 125.7(-9.0)(6.4)+/-5+/-0.4GeV/c(2)(mu>0) or m(h) = 125.4(-9.0)(+6.6) +/-5+/- 0.4 GeV/c( 2) (mu < 0) in the case of large tan beta. (C) 2000 Elsevier Science B.V. A ll rights reserved.