  Higher moments of event-by-event net-proton multiplicity distributions have
been applied to search for the QCD critical point. Model results are used to
provide a baseline for this search. The measured moment products,
$\kappa\sigma^2$ and $S\sigma$ of net-proton distributions, which are directly
connected to the thermodynamical baryon number susceptibility ratio in Lattice
QCD and Hadron Resonance Gas (HRG) model, are compared to the transport and
thermal model results. We argue that a non-monotonic dependence of $\kappa
\sigma^2$ and $S \sigma$ as a function of beam energy can be used to search for
the QCD critical point.
