  In the Minimal Supersymmetric Standard Model with complex parameters (cMSSM)
we perform a complete one-loop calculation for the Higgs boson masses
(including the momentum dependence) and the mixing angles. These corrections
are obtained in the Feynman-diagrammatic approach using the on-shell
renormalization scheme. The impact of the newly evaluated corrections is
analyzed numerically. The full one-loop result, supplemented by the leading
two-loop contributions taken over from the real MSSM are implemented into the
public Fortran code FeynHiggs2.0.
