  While the properties of the signal that was discovered in the Higgs searches
at the LHC are consistent so far with the Higgs boson of the Standard Model
(SM), it is crucial to investigate to what extent other interpretations that
may correspond to very different underlying physics are compatible with the
current results. We use the Next-to-Minimal Supersymmetric Standard Model
(NMSSM) as a well-motivated theoretical framework with a sufficiently rich
Higgs phenomenology to address this question, making use of the public tools
HiggsBounds and HiggsSignals in order to take into account comprehensive
experimental information on both the observed signal and on the existing limits
from Higgs searches at LEP, the TeVatron and the LHC. We find that besides the
decoupling limit resulting in a single light state with SM-like properties,
several other configurations involving states lighter or quasi-degenerate with
the one at about 125 GeV turn out to give a competitive fit to the Higgs data
and other existing constraints. We discuss the phenomenology and possible
future experimental tests of those scenarios, and compare the features of
specific scenarios chosen as examples with those arising from a more global
fit.
