  We study the implications of the Higgs discovery and of recent results from
dark matter searches on real singlet scalar dark matter. The phenomenology of
the model is defined by only two parameters, the singlet scalar mass $m_S$ and
the quartic coupling $a_2$ between the SU(2) Higgs and the singlet scalar. We
concentrate on the window $5 < m_S/{\rm GeV} < 300$. The most dramatic impact
on the viable parameter space of the model comes from direct dark matter
searches with LUX, and, for very low masses in the few GeV range, from
constraints from the invisible decay width of the Higgs. In the resonant region
the best constraints come from gamma-ray line searches. We show that they leave
only a small region of viable parameter space, for dark matter masses within a
few percent of half the mass of the Higgs. We demonstrate that direct and
indirect dark matter searches (especially the search for monochromatic
gamma-ray lines) will play a key role in closing the residual parameter space
in the near future.
