  Motivated by the recent discovery of the Higgs boson, we investigate the
possibility that a missing energy plus Higgs final state is the dominant signal
channel for dark matter at the LHC. We consider examples of higher-dimension
operators where a Higgs and dark matter pair are produced through an off-shell
Z or photon, finding potential sensitivity at the LHC to cutoff scales of
around a few hundred GeV. We generalize this production mechanism to a
simplified model by introducing a Z' as well as a second Higgs doublet, where
the pseudoscalar couples to dark matter. Resonant production of the Z' which
decays to a Higgs plus invisible particles gives rise to a potential mono-Higgs
signal. This may be observable at the 14 TeV LHC at low tan beta and when the
Z' mass is roughly in the range 600 GeV to 1.3 TeV.
