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

## TL;DR

This paper calculates two-loop Yukawa corrections to Higgs boson masses in the complex MSSM, enhancing the precision of Higgs spectrum predictions and integrating results into the FeynHiggs code.

## Contribution

It provides the first detailed two-loop Yukawa correction calculations for the complex MSSM Higgs masses, including renormalization and comparison with real parameter limits.

## Key findings

- New two-loop corrections significantly affect Higgs mass predictions.
- Results are incorporated into the FeynHiggs code for broader use.
- Comparison shows consistency with previous real MSSM results.

## 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 $\texttt{FeynHiggs}$.