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We study the discovery and discriminating prospects of the Higgs portal darkmatter (DM) models for scalar, fermion and vector DM and their extensions inproton-proton ($pp$) collisions. The $t\bar{t}+$DM associated production indileptonic final states is considered, in which the stransverse mass of twoleptons is found to be effective in suppressing the Standard Model backgroundsalong with the missing transverse energy and the angle between two leptons. Thedistributions of missing transverse energy and polar angle between two leptonsare used for a discrimination of the spin nature of DM. For the proposedbenchmark points, the discovery/exclusion can be made with an integratedluminosity less than 1 ab$^{-1}$ given a 1\% systematic uncertainty, while thespin discrimination require integrated luminosity of a few O(10) ab$^{-1}$given a 0.5\% systematic uncertainty. The DM phenomenology is also discussed. Aconsistent DM candidate can be obtained either by extending our model where theHiggs portal couples to excited dark states that decay into DM, or modifyingthe coupling form into pseudoscalar.

Prospects for discovery and spin discrimination of dark matter in Higgs portal DM models and their extensions at 100 TeV $pp$ collider