Top Yukawa-Coupling Enhanced Two-Loop Corrections to the Masses of the Higgs Bosons in the MSSM with CP Violation

Recent results for the leading $\mathcal{O}{\left(\alpha_t^2\right)}$ two-loop corrections to the Higgs-boson masses of the MSSM with complex parameters are presented. The strategy of the Feynman-diagrammatic, analytical calculation is illustrated. Numerical analyses show agreement with a previous result in the limit of real parameters. Furthermore, the newly available dependence on complex MSSM parameters is investigated. Mass shifts by $\approx 1$GeV for different phases underline the importance of this contribution for a precise prediction of the Higgs-boson mass spectrum in the MSSM.