Radiative symmetry breaking and Higgs mass bound in the NMSSM

We study the upper mass bound of the lightest neutral Higgs scalar in the NMSSM using the RGE analysis. We require the successful occurence of the electroweak radiative symmetry breaking to restrict the parameter space. As a result the upper mass bound $m_{h^0}$ is largely restricted compared with the one estimated without imposing this condition. We point out some features of $m_{h^0}$ related to the initial value of $h_t$ and discuss why the models with more extra matters $\mathbf{5}+\bar{\mathbf{5}}$ of SU(5) could bring the larger maximum value of $m_{h^0}$.