MSSM and Large tanβtan\beta from SUSY Trinification

We construct a supersymmetric model based on the semi-simple gauge group $SU(3)_c \times SU(3)_L \times SU(3)_R$ with the relation $tan\beta \simeq m_t/m_b$ automatically arising from its structure. The model below a scale $\sim 10^{16}$ GeV gives naturally rise just to the minimal supersymmetric standard model and therefore to the presently favored values for $sin^2 \theta_w$ and $\alpha_s$ without fields in representations higher than the fundamental.Comment: 9 pages, LaTeX, UT-STPD-3-9

Resolving the Constrained Minimal and Next-to-Minimal Supersymmetric Standard Models

We perform a detailed analysis of the next-to-minimal supersymmetric standard model (NMSSM), imposing the constraints of two-loop gauge coupling unification, universal soft supersymmetry breaking and the correct pattern of electroweak symmetry breaking. We compare our results with those for the minimal supersymmetric standard model (MSSM) using closely related techniques and, as far as possible, a common set of input and output variables. In general, in the constrained NMSSM, there are much stronger correlations between parameters than in the constrained MSSM, and we map out the allowed parameter space. We also give a detailed discussion of how to resolve the two models experimentally, concentrating primarily on the prospects at LEPII.Comment: 76 pages, latex, no macros, uuencoded figures included separately. This version (to appear in Phys. Rev. D) contains various minor change