  Recent LHC data suggest an excess in the Higgs decay channels into gamma
gamma, W W and Z Z at roughly 125 GeV. The current excess in the diphoton
channel is twice that expected from a Standard Model Higgs; whilst this may
well change with more statistics, it is interesting to consider the
implications should the result persist. Here, we assess whether the NMSSM with
a neutralino dark matter candidate could explain this excess when astrophysical
constraints (e.g. no overproduction of gamma rays and radio emission in the
galaxy, no anomalous excess in the dark matter direct detection experiments and
no dark matter overabundance) are imposed on the neutralino. This enables us to
disregard unphysical regions of the parameter space even though the Higgs
signal is compatible with the observed excess. The result of our analysis is
that there are configurations of the parameter space which can explain the
signal strength reported by the ATLAS and CMS collaborations for a Higgs mass
within the required range. Should the observed signal strength finally be
compatible with Standard Model expectations, it would be difficult to
distinguish between the discovery of Standard Model Higgs and a SM-like Higgs
from the NMSSM, unless one performs dedicated searches of very light Higgs
bosons and possibly investigate peculiar signatures of supersymmetric
particles. We also propose a new jets + missing E_T signal for the case where
the LSP is a singlino-like neutralino.
