Upper Bound on the Lightest Higgs Mass in Supersymmetric Theories

Abstract

The problem of the lightest Higgs boson mass in the next-to-minimal supersymmetric standard model (NMSSM) is investigated. Assuming the validity of the perturbation theory up to unification scales and using the recent experimental results for the top quark mass, the restrictions on the NMSSM coupling constants are obtained. These restrictions are used to make the predictions for the lightest Higgs mass, which are compared to those of the minimal supersymmetric standard model (MSSM).

Figures (2)

• Figure 1: Upper bound on $|\lambda(m_t)|$ ($\lambda_{max}$) as a function of $\tan{\beta}$ a) for $\kappa(m_t)=0$ and $m_t=160$GeV (line 1), $m_t=165$GeV (solid line) and $m_t=170$GeV (line 3), b) for $m_t=160$GeV and $|\kappa(m_t)|=0;0.3;0.4;0.5;0.6$ (lines 1,2,3,4,5 respectively)
• Figure 2: Upper bound on the lightest Higgs mass in the MSSM and the NMSSM a) for $X_t=0$ (no-mixing) b) for $X_t=6$ (maximal mixing). The results are derived for $m_t=160GeV$ (dashed line), $m_t=165$GeV (solid line) and for $m_t=170$GeV (dotted line).