Recent LHC searches have not found a clear signal of the Higgs boson h of the standard model (SM) with three or four families in the mass range m(h) = 120-600 GeV. If the Higgs had an unexpectedly large invisible branching ratio, the excluded mh regions would shrink. This can be realized in the simplest weakly interacting massive particle dark matter (DM) model, which is the SM plus a real gauge-singlet scalar field D as the DM, via the invisible mode h -> DD. Current data allow this decay to occur for D-mass values near, but below, m(h)/2 and those compatible with the light DM hypothesis. For such D masses, h -> DD can dominate the Higgs width depending on m(h), and thus sizable portions of the m(h) exclusion zones in the SM with three or four families may be recovered. Increased luminosity at the LHC may even reveal a Higgs having SM-like visible decays still hiding in the presently disallowed regions. The model also accommodates well the new possible DM hints from CRESST-II and will be further tested by improved data from future DM direct searches.
