  From the current ATLAS and CMS results on Higgs boson mass and decay rates,
the NMSSM is obviously better than the MSSM. To explain the fine-tuning
problems such as gauge hiearchy problem and strong CP problem in the SM, we
point out that supersymmetry does not need to provide a dark matter candidate,
i.e., R-parity can be violated. Thus, we consider three kinds of the NMSSM
scenarios: in Scenarios I and II R-parity is conserved and the lightest
neutralino relic density is respectively around and smaller than the observed
value, while in Scenario III R-parity is violated. To fit all the experimental
data, we consider the \chi^2 analyses, and find that the Higgs boson mass and
decay rates can be explained very well in these Scenarios. Considering the
small \chi^2 values and fine-tuning around 2-3.7% (or 1-2%), we obtain the
viable parameter space with light (or relatively heavy) supersymmetric particle
spectra only in Scenario III (or in Scenarios I and II). Because the singlino,
Higgsinos, and light stop are relatively light in general, we can relax the LHC
supersymmetry search constraints but the XENON100 experiment gives a strong
constraint in Scenarios I and II. In all the viable parameter space, the
anomalous magnetic moment of the muon (g_{\mu} - 2)/2 are generically small.
With R-parity violation, we can increase (g_{\mu} - 2)/2, and avoid the
contraints from the LHC supersymmetry searches and XENON100 experiment.
Therefore, Scenario III with R-parity violation is more natural and realistic
than Scenarios I and II.
