Is the lightest supersymmetric Higgs boson distinguishable from the minimal standard model one?

Earlier results for the supersymmetric Higgs boson production cross sections at LEP (after radiative correction) obtained in the effective potential approach are supplemented with (a) calculation based on the renormalization group evolution with two-Higgs doublet renormalization group equations; (b) a comparison with the standard model Higgs boson production. The accuracy of the two approaches is discussed and various complementary projections of the results (which may be useful for experimental analysis) are presented. Particular attention is paid to the question of distinguishability between supersymmetric and nonsupersymmetric Higgs bosons. (orig.)