Neutral MSSM Higgs-boson production at e(+)e(-) colliders in the Feynman-diagrammatic approach

We calculate the cross sections for the neutral Higgs-boson production at e (+)e(-) colliders in the Minimal Supersymmetric Standard Model (MSSM) using the Feynman-diagrammatic approach and the on-shell renormalization scheme. We incorporate the Higgs-boson propagator corrections, evaluated up to two -loop order, into the prediction of the cross sections for the Higgs-boson production mechanism e(+)e(-) --> hZ, hA. The propagator corrections consis t of the full one-loop contribution, including the effects of non-vanishing external momentum, and at the two-loop level of the dominant corrections o f O(alpha alpha (s)) and further sub-dominant contributions. The results ar e supplemented with the complete set of one-loop vertex and box corrections . The effects of the two-loop propagator corrections are investigated in de tail. We briefly discuss also the effect of the box contributions for high roots. We compare our results with the case where only the corrections to t he effective mixing angle, evaluated within the renormalization-group-impro ved one-loop Effective Potential approach, are taken into account. Wie find agreement better than 10% for LEP2 energies and deviations larger than 20% for roots = 500 GeV.