Two-loop top and bottom Yukawa corrections to the Higgs-boson masses in the complex MSSM

Abstract

Results for the two-loop corrections to the Higgs-boson masses of the MSSM with complex parameters of $\mathcal{O}\left({\alpha }_t^2+{\alpha }_t{\alpha }_b+{\alpha }_b^2\right)$ from the Yukawa sector in the gauge-less limit are presented. The corresponding self-energies and their renormalization have been obtained in the Feynman-diagrammatic approach. The impact of the new contributions on the Higgs spectrum is investigated. Furthermore, a comparison with an existing result in the limit of the MSSM with real parameters is carried out. The new results will be included in the public code $\text{FeynHiggs}$.

Comments: 15 pages, 9 figures