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

TL;DR

This paper calculates the two-loop corrections to the charged Higgs-boson mass in the MSSM, highlighting the significance of these corrections for precise mass predictions in supersymmetric models.

Contribution

It provides the first detailed calculation of top-Yukawa-coupling enhanced two-loop corrections to the charged Higgs mass in the MSSM using a specific renormalization scheme.

Findings

Two-loop corrections significantly affect the charged Higgs mass.

Numerical results demonstrate the importance of $ ext{O}( ext{α}_t^2)$ contributions.

The corrections are relevant for precise Higgs mass predictions.

Abstract

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.