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

TL;DR

This paper calculates two-loop corrections to the Higgs boson masses in the complex MSSM, providing analytical formulas and numerical results that enhance the precision of Higgs mass predictions in supersymmetric models.

Contribution

It presents the first detailed analytical calculation of two-loop top-Yukawa corrections in the complex MSSM, compatible with FeynHiggs, improving Higgs mass predictions.

Findings

Two-loop corrections significantly affect Higgs mass predictions.

Analytical expressions for self-energies and renormalization constants are provided.

Results can be integrated into FeynHiggs for improved phenomenological analyses.

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 $\left.\text{on-shell}\middle/\,\overline{\text{DR}}\right.$ scheme that can be directly matched onto the higher-order terms in the code ${\tt FeynHiggs}$. 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 ${\tt FeynHiggs}$.