Higgs-Boson Masses and Mixing Matrices in the NMSSM: Analysis of On-Shell Calculations

TL;DR

This paper compares on-shell and R calculations of Higgs-boson masses in the NMSSM, identifying discrepancies and assessing theoretical precision for future collider predictions.

Contribution

It provides a detailed comparison of on-shell and R renormalization schemes in NMSSM Higgs mass calculations, highlighting sources of discrepancies at two-loop level.

Findings

Discrepancies identified at one- and two-loop levels.

Comparison of NMSSMCALC and NMSSM-FeynHiggs implementations.

Assessment of theoretical uncertainties in Higgs mass predictions.

Abstract

We analyze the Higgs-boson masses and mixing matrices in the NMSSM based on an on-shell (OS) renormalization of the gauge-boson and Higgs-boson masses and the parameters of the top/scalar top sector. We compare the implementation of the OS calculations in the codes NMSSMCALC and NMSSM-FeynHiggs up to $\mathcal{({\alpha}_t{\alpha}_s)}$. We identify the sources of discrepancies at the one- and at the two-loop level. Finally we compare the OS and $\overline{\text{DR}}$ evaluation as implemented in NMSSMCALC. The results are important ingredients for an estimate of the theoretical precision of Higgs-boson mass calculations in the NMSSM.