  Within the Constrained Minimal Supersymmetric Standard Model it is possible
to predict the low energy gauge couplings and masses of the 3. generation
particles from a few parameters at the GUT scale. In addition the MSSM predicts
elektroweak symmetry breaking due to large radiative corrections from Yukawa
couplings, thus relating the Z^0 boson mass to the top quark mass. From a
\chi^2 analysis, in which these constraints can be considered simultaneously,
one can calculate the probability for each point in the MSGUT parameter space.
Our fits include full second order corrections for the gauge and Yukawa
couplings, low energy treshold effects, contributions of all (s)particles to
the Higgs potential and corrections to m_b from qluinos and higgsinos, which
exclude (in our notation) positive values of the mixing parameter in the Higgs
potential \mu for the large tan \beta region. Further constraints can be
derived from the branching ratio for the radiative (penguin) decay of the
b-quark into s \gamma and the lower limit on the lifetime of the universe,
which requires the dark matter density due to the Lightest Supersymmetric
Particle (LSP) not to overclose the universe. For particles, which are most
likely to have masses in the LEP II energy range, the cross sections are given
for the various energy scenarios at LEP II. For low tan \beta the production of
the lightest Higgs boson, which is expected to have a mass below 103 GeV, is
the most promising channel, while for large tan \beta the production of
charginos and/or neutralinos covers the preferred parameter space.
