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For the search for additional Higgs bosons in the Minimal SupersymmetricStandard Model (MSSM) as well as for future precision analyses in the Higgssector a precise knowledge of their production properties is mandatory. Weevaluate the cross sections for the neutral Higgs boson production at e^+e^-colliders in the MSSM with complex parameters (cMSSM). The evaluation is basedon a full one-loop calculation of the production channels e^+e^- -> h_i Z, h_igamma, h_i h_j (i,j = 1,2,3), including soft and hard QED radiation. Thedependence of the Higgs boson production cross sections on the relevant cMSSMparameters is analyzed numerically. We find sizable contributions to many crosssections. They are, depending on the production channel, roughly of 10-20% ofthe tree-level results, but can go up to 50% or higher. The full one-loopcontributions are important for a future linear e^+e^- collider such as the ILCor CLIC. There are plans to implement the evaluation of the Higgs bosonproduction cross sections into the code FeynHiggs.

Neutral Higgs Boson Production at e+e- Colliders in the Complex MSSM: A Full One-Loop Analysis