Two-Loop Contributions of the Order $\mathcal{O}(\alpha_t\alpha_s)$ to the Masses of the Higgs Bosons in the CP-Violating NMSSM

TL;DR

This paper calculates two-loop quantum corrections to Higgs boson masses in the CP-violating NMSSM, improving theoretical precision and reducing uncertainties in mass predictions.

Contribution

It provides the first detailed two-loop correction calculations of Higgs masses in the CP-violating NMSSM at order (_t (_s)), including renormalization schemes and gaugeless limit analysis.

Findings

Two-loop corrections are 5-10% of one-loop results.

Including these corrections reduces the theoretical error on Higgs mass predictions.

The calculation uses a mixed (_t (_s)) order in the NMSSM.

Abstract

We provide the two-loop corrections to the Higgs boson masses of the CP-violating NMSSM in the Feynman diagrammatic approach with vanishing external momentum at ${\cal O} (\alpha_t \alpha_s)$. The adopted renormalization scheme is a mixture between $\overline{\text{DR}}$ and on-shell conditions. Additionally, the renormalization of the top/stop sector is provided both for the $\overline{\text{DR}}$ and the on-shell scheme. The calculation is performed in the gaugeless limit. We find that the two-loop corrections compared to the one-loop corrections are of the order of 5-10\%, depending on the top/stop renormalization scheme. The theoretical error on the Higgs boson masses is reduced due to the inclusion of these higher order corrections.