  Searches in final states with two leptons plus missing transverse energy,
targeting supersymmetric particles or invisible decays of the Higgs boson, were
performed during Run 1 of the LHC. Recasting the results of these analyses in
the context of the Inert Doublet Model (IDM) using MadAnalysis 5, we show that
they provide constraints on inert scalars that significantly extend previous
limits from LEP. Moreover, these LHC constraints allow to test the IDM in the
limit of very small Higgs-inert scalar coupling, where the constraints from
direct detection of dark matter and the invisible Higgs width vanish.
