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We examine the extent to which it is possible to realize the NMSSM "idealHiggs" models espoused in several papers by Gunion et al in the context ofpartially universal GUT scale boundary conditions. To this end we use thepowerful methodology of nested sampling. We pay particular attention to whetherideal-Higgs-like points not only pass LEP constraints but are also acceptablein terms of the numerous constraints now available, including those from theTevatron and $B$-factory data, $(g-2)_\mu$ and the relic density $\Omega h^2$.In general for this particular methodology and range of parameters chosen, veryfew points corresponding to said previous studies were found, and those thatwere found were at best $2\sigma$ away from the preferred relic density value.Instead, there exist a class of points, which combine a mostly singlet-likeHiggs with a mostly singlino-like neutralino coannihilating with the lighteststau, that are able to effectively pass all implemented constraints in theregion $80<m_h<100$. It seems that the spin-independent direct detection crosssection acts as a key discriminator between ideal Higgs points and the hard todetect singlino-like points.

Next-to-Minimal Supersymmetric Model Higgs Scenarios for Partially Universal GUT Scale Boundary Conditions