The light MSSM Higgs boson mass for large $$\tan \beta $$ and complex input parameters
AbstractWe discuss various improvements of the prediction for the light MSSM Higgs boson mass in the hybrid framework of the public code $$\texttt {FeynHiggs}$$ 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 $$\Delta _b$$ Δ b resummation. For large $$\tan \beta $$ tan β , 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 $$\mathcal{CP}$$ CP -violating phases. As a third improvement, we discuss the inclusion of partial $$\hbox {N}^3$$ N 3 LL resummation. The presented improvements will be implemented into $$\texttt {FeynHiggs}$$ FeynHiggs .
