  We present the first global analysis of the Constrained NMSSM that
investigates the impact of the recent discovery of a 126 GeV Higgs-like boson,
of the observation of a signal for BR(B_s->\mu^+\mu^-), and of constraints on
supersymmetry from ~5/fb of data accumulated at the LHC, as well as of other
relevant constraints from colliders, flavor physics and dark matter. We
consider three possible cases, assuming in turn that the discovered Higgs boson
is: i) the lightest Higgs boson of the model; ii) the next-to-lightest Higgs
boson; and iii) a combination of both roughly degenerate in mass. The
likelihood function for the Higgs signal uses signal rates in the \gamma\gamma\
and ZZ --> 4l channels, while that for the Higgs exclusion limits assumes decay
through the \gamma\gamma, \tau\tau, ZZ and W^+W^- channels. In all cases
considered we identify the 68% and 95% credible posterior probability regions
in a Bayesian approach. We find that, when the constraints are applied with
their respective uncertainties, the first case shows strong CMSSM-like
behavior, with the stau coannihilation region featuring highest posterior
probability, the best-fit point, a correct mass of the lightest Higgs boson and
the lighter stop mass in the ballpark of 1 TeV. The second and the third cases,
on the other hand, while allowed are disfavored by the constraints from direct
detection of dark matter and from BR(B_s->\mu^+\mu^-). Without the anomalous
magnetic moment of the muon the fit improves considerably, especially for
negative effective \mu\ parameter. We discuss how the considered scenarios
could be tested furtherly at the LHC and in dark matter searches.
