It is important to study extended models containing more than one physical
Higgs boson in the spectrum. In particular, Two Higgs Doublet Models (2HDMs)
are attractive extensions of the SM, predicting new phenomena with the fewest
new parameters. The Higgs sector in the Minimal Supersymmetric extension of the
SM (MSSM) is a 2HDM itself. The neutral Higgs searches performed at LEP are
showing no evidence of the presence of a signal and have therefore been
interpreted in the context of 2HDMs. Depending on the model considered
exclusion of large regions of the parameter space can be obtained, but the
existence of the lightest Higgs boson with masses lower than 90 GeV is not
ruled out in all models by LEP. In the MSSM at least one of the neutral Higgs
bosons is predicted to have its mass close to the electroweak energy scale;
when radiative corrections are included, this mass should be less than about
140 GeV. This prediction provides a strong motivation for searches at present
and future colliders.Comment: 4 pages, 4 figure