Infrared Quasi Fixed Points and Mass Predictions in the MSSM

Abstract

We consider the infrared quasi-fixed point solutions of the renormalization group equations for the top-quark Yukawa coupling and soft supersymmetry breaking parameters in the MSSM. The IR quasi-fixed points together with the values of the gauge couplings, the top-quark and Z-boson masses allow one to predict masses of the Higgs bosons, the stop squarks and the lightest chargino as functions of the only free parameter $m_{1/2}$ or the gluino mass. The mass of the lightest Higgs boson for $\mu >0$ and $M_{SUSY}\approx 1$ TeV is found to be $m_h=(94.3+1.6+0.6\pm 5\pm 0.4)$ GeV. The case with $\mu <0$ is excluded by experimental data.

Comments: 17 pages, LateX file with 13 eps figures, Corrected version, references are added. Final version to be published in Modern Physics Letters A