The light MSSM Higgs boson mass for large $\tan \beta$ and complex input parameters

Abstract

We discuss various improvements of the prediction for the light MSSM Higgs boson mass in the hybrid framework of the public code 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 $\mathcal{C}\mathcal{P}$-violating phases. As a third improvement, we discuss the inclusion of partial N${}^3$LL resummation. The presented improvements will be implemented into FeynHiggs.

53 pages, 9 figures, 12 ancillary files; v2: matches version published in EPJC;