  The next-to-minimal supersymmetric standard model (NMSSM) naturally provides
a 125 GeV Higgs boson without the need for large loop corrections from
multi-TeV stop quarks. Furthermore, the NMSSM provides an electroweak scale
dark matter candidate consistent with all experimental data, like relic density
and non-observation of direct dark matter signals with the present experimental
sensitivity. However, more free parameters are introduced in the NMSSM, which
are strongly correlated. A simple parameter scan without knowing the
correlation matrix is not efficient and can miss significant regions of the
parameter space. We introduce a new technique to sample the NMSSM parameter
space, which takes into account the correlations. For this we project the 7D
NMSSM parameter space onto the 3D Higgs boson mass parameter space. The reduced
dimensionality allows for a non-random sampling and therefore a complete
coverage of the allowed NMSSM parameters. In addition, the parameter
correlations and possible deviations of the signal strengths of the observed
125 Higgs boson from the SM values are easily predicted.
