Precise Predictions for the Higgs-Boson Masses in the NMSSM

TL;DR

This paper provides precise theoretical predictions for the Higgs boson masses within the NMSSM, incorporating full one-loop and dominant two-loop corrections to match experimental accuracy.

Contribution

It introduces a comprehensive calculation of Higgs masses in the NMSSM using a Feynman-diagrammatic approach with advanced loop corrections, enhancing prediction precision.

Findings

Predicted Higgs mass aligns with observed 125 GeV within theoretical uncertainties.

Two-loop corrections significantly improve the accuracy of mass predictions.

Analysis confirms the validity of the approximation methods used at the two-loop level.

Abstract

The particle discovered in the Higgs boson searches at the LHC with a mass of about 125 GeV can be identified with one of the neutral Higgs bosons of the Next-to-Minimal Supersymmetric Standard Model (NMSSM). We calculate predictions for the Higgs-boson masses in the NMSSM using the Feynman-diagrammatic approach. The predictions are based on the full NMSSM one-loop corrections supplemented with the dominant and sub-dominant two-loop corrections within the Minimal Supersymmetric Standard Model (MSSM). These include contributions at $\mathcal{O}{\left(\alpha_t \alpha_s, \alpha_b \alpha_s, \alpha_t^2,\alpha_t\alpha_b\right)}$, as well as a resummation of leading and subleading logarithms from the top/scalar top sector. Taking these corrections into account in the prediction for the mass of the Higgs boson in the NMSSM that is identified with the observed signal is crucial in order to reach a precision at a similar level as in the MSSM. The quality of the approximation made at the two-loop level is analysed on the basis of the full one-loop result, with a particular focus on the prediction for the Standard Model-like Higgs boson that is associated with the observed signal. The obtained results will be used as a basis for the extension of the code FeynHiggs to the NMSSM.