The Non-Minimal Supersymmetric Standard Model with $\tan\beta\simeq m_t/m_b$

Abstract

We consider the supersymmetric extension of the standard model with an additional singlet $S$, the Non-Minimal Supersymmetric Standard Model (NMSSM), in the limit $\tan\beta \simeq m_t/m_b$. We embed this model in a supergravity framework with universal boundary conditions and analyze the renormalization group improved tree-level potential. We examine the relationship between this model and the minimial supersymmetric standard model (MSSM), and discuss the novel connections between the two when $\tan\beta$ is large. Strong correlations between the free parameters of the nonminimal model are found and the reasons for these discussed. The singlet vacuum expectation value is forced to be large, of the order of $10 TeV$. The radiatively corrected mass of the lightest Higgs boson is found to be $\stackrel{_<}{_\sim} 140 GeV$.