AbstractIn this work, we use a recast of the Run II search for invisible Higgs decays within Vector Boson Fusion to constrain the parameter space of the Inert Doublet model, a two Higgs doublet model with a dark matter candidate. When including all known theoretical as well as collider constraints, we find that the above can rule out a relatively large part in the $$m_H,\,\lambda _{345}$$mH,λ345 parameter space, for dark scalar masses $$m_H\,\le \,100\,{\mathrm{GeV}}$$mH≤100GeV. Including the latest dark matter constraints, a smaller part of parameter space remains which is solely excluded from the above analysis. We also discuss the sensitivity of monojet searches and multilepton final states from Run II.
Next-to-next-to-leading order QCD corrections to light Higgs pair production via vector boson fusion in the type II two-Higgs-doublet model