Two-loop top-Yukawa-coupling corrections to the charged Higgs-boson mass in the MSSM

The top-Yukawa-coupling enhanced two-loop corrections to the charged Higgs-boson mass in the real MSSM are presented. The contributing two-loop self-energies are calculated in the Feynman- diagrammatic approach in the gaugeless limit with vanishing external momentum and bottom mass, within a renormalization scheme comprising on-shell and $\overline{\text{DR}}$ conditions. Numerical results illustrate the effect of the $\mathcal{O}({\alpha }_t^2)$ contributions and the importance of the two-loop corrections to the mass of the charged Higgs bosons.