We discuss various improvements of the prediction for the light MSSM Higgs boson mass in the hybrid framework of the public code texttt {FeynHiggs}, which combines fixed-order and effective field theory results. First, we discuss the resummation of logarithmic contributions proportional to the bottom-Yukawa coupling including two-loop Delta _b resummation. For large tan beta , these improvements can lead to large upward shifts of the Higgs mass compared to the existing fixed-order calculations. Second, we improve the implemented EFT calculation by fully taking into account the effect of mathcal{CP}-violating phases. As a third improvement, we discuss the inclusion of partial hbox {N}^3LL resummation. The presented improvements will be implemented into texttt {FeynHiggs}.