Improvements in Higgs-mass predictions with $\texttt{FeynHiggs}$

Recent developments in the public code $\texttt{FeynHiggs}$ for the prediction of the Standard Model-like Higgs mass in the Minimal Supersymmetric Standard Model are presented. Improvements in the prediction based on an effective-field theory concern the cases of multi-scale hierarchies where the gluino is much heavier than the sfermions or where the additional Higgs bosons have masses between the electroweak and supersymmetry scales. The fixed-order part is improved by a re-implementation and extension of the two-loop corrections, now containing the contributions of orders $\big(\alpha_t+\alpha_b\big)\cdot\big(\alpha_t+\alpha_b+\alpha_s\big)$ in the limit of vanishing electroweak gauge couplings for all implemented renormalization schemes. The updated version has a significantly improved numerical stability and thus an enhanced range of applicability for scenarios with heavy supersymmetric particles. All updates will be included in the upcoming version $\texttt{FeynHiggs-2.19.0}$.