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The inert 2-Higgs Doublet Model (i2HDM) is a well-motivated minimalconsistent Dark Matter (DM) model, but it is rather challenging to test at theLarge Hadron Collider (LHC) in the parameter space allowed by relic density andDM direct detection constraints. This is especially true when considering thelatest XENON 1T data on direct DM searches which we use here to present thebest current combined limit on the i2HDM parameter space. In this analysis, wepresent prospects to advance the exploitation of DM mono-jet signatures fromthe i2HDM at the LHC, by emphasising that a shape analysis of the missingtransverse momentum distribution allows one to sizably improve the LHCdiscovery potential. As a key element of our analysis, we explore the validityof using an effective vertex, $ggH$, for the coupling of the Higgs boson togluons using a full one-loop computation. We have found sizeable differencesbetween the two approaches, especially in the high missing transverse momentumregion, and incorporated the respective K-factors to obtain the correctkinematical distributions. As a result, we delineate a realistic searchstrategy and present the improved current and projected LHC sensitivity to thei2HDM parameter space.

Advancing LHC Probes of Dark Matter from the Inert 2-Higgs Doublet Model with the Mono-jet Signal