Top Yukawa-Coupling Enhanced Two-Loop Corrections to the Masses of the Higgs Bosons in the MSSM with CP Violation

TL;DR

This paper presents new two-loop corrections to MSSM Higgs boson masses considering complex parameters, significantly improving the precision of mass predictions with about 1 GeV shifts observed.

Contribution

It introduces the first detailed calculation of two-loop corrections with complex MSSM parameters, expanding previous real-parameter analyses.

Findings

Mass shifts of approximately 1 GeV due to complex phases.

Agreement with previous real-parameter results.

Demonstrates the importance of complex parameters for accurate Higgs mass predictions.

Abstract

Recent results for the leading $\mathcal{O}{\left(\alpha_t^2\right)}$ two-loop corrections to the Higgs-boson masses of the MSSM with complex parameters are presented. The strategy of the Feynman-diagrammatic, analytical calculation is illustrated. Numerical analyses show agreement with a previous result in the limit of real parameters. Furthermore, the newly available dependence on complex MSSM parameters is investigated. Mass shifts by $\approx 1$GeV for different phases underline the importance of this contribution for a precise prediction of the Higgs-boson mass spectrum in the MSSM.