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The momentum dependent two-loop contributions of the order$\mathcal{O}$($\alpha_s \alpha_t$) to the masses in the Higgs-boson sector ofthe MSSM are computed. Adopting the Feynman-diagrammatic approach and using amixed on-shell/$\overline{DR}$ renormalization scheme, the new corrections candirectly be matched onto the higher-order corrections included in the codeFeynHiggs. Two-loop diagrams involving several mass scales are evaluated withthe program SecDec. The combination of the new momentum dependent two-loopcontribution with the existing one- and two-loop corrections leads to animproved prediction of the light MSSM Higgs-boson mass with reduced theoreticaluncertainty. The resulting shifts in the lightest Higgs-boson mass $M_h$ canextend up to the level of the current experimental uncertainty of about 500 MeVin the scenario considered in these proceedings.

Momentum Dependent Two-Loop Corrections to the Neutral Higgs Boson Masses in the MSSM