Focus points and the Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model

We investigate focus points of the renormalization group equations of the Minimal Supersymmetric Standard Model. We show that within this model the up- and down-type Higgs mass soft supersymmetry breaking parameters have focus point behavior at the electroweak scale simultaneously when appropriate conditions are fulfilled. The focus point scenario is holding for large $\tan \beta$. This two focus point scenario allows to fix the pole top-quark mass which is within the experimentally allowed interval. The main goal of the present paper is the investigation of the influence of the existence of focus points on the determination of the mass of the lightest Higgs boson.