Higgs boson masses and mixings in the complex MSSM with two-loop top-Yukawa-coupling corrections

Abstract

Results for the leading two-loop corrections of $\mathcal{O}\left({\alpha }_t^2\right)$ from the Yukawa sector to the Higgs-boson mass spectrum of the MSSM with complex parameters are presented, with details of the analytical calculation performed in the Feynman-diagrammatic approach using a mixed $\text{on-shell}/\overline{\text{DR}}$ scheme that can be directly matched onto the higher-order terms in the code $\mathtt{FeynHiggs}$. Numerical results are shown for the masses and mixing effects in the neutral Higgs-boson sector and their variation with the phases of the complex parameters. Furthermore, the analytical expressions of the two-loop self-energies and the required renormalization constants are recorded. The new results can consistently be implemented in $\mathtt{FeynHiggs}$.

Comments: 45 pages, 9 figures