Higgs-boson masses and mixing matrices in the NMSSM: analysis of on-shell calculations

Abstract

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 $${\mathcal {O}}(\alpha _t\alpha _s)$$ O ( α t α s ) . We identify the sources of discrepancies at the one- and at the two-loop level. Finally we compare the OS and $$\overline{\mathrm {DR}}$$ 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.