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Dark matter (DM) simplified models are by now commonly used by the ATLAS andCMS Collaborations to interpret searches for missing transverse energy($E_T^\mathrm{miss}$). The coherent use of these models sharpened the LHC DMsearch program, especially in the presentation of its results and theircomparison to DM direct-detection (DD) and indirect-detection (ID) experiments.However, the community has been aware of the limitations of the DM simplifiedmodels, in particular the lack of theoretical consistency of some of them andtheir restricted phenomenology leading to the relevance of only a small subsetof $E_T^\mathrm{miss}$ signatures. This document from the LHC Dark MatterWorking Group identifies an example of a next-generation DM model, called$\textrm{2HDM+a}$, that provides the simplest theoretically consistentextension of the DM pseudoscalar simplified model. A comprehensive study of thephenomenology of the $\textrm{2HDM+a}$ model is presented, including adiscussion of the rich and intricate pattern of mono-$X$ signatures and therelevance of other DM as well as non-DM experiments. Based on our discussions,a set of recommended scans are proposed to explore the parameter space of the$\textrm{2HDM+a}$ model through LHC searches. The exclusion limits obtainedfrom the proposed scans can be consistently compared to the constraints on the$\textrm{2HDM+a}$ model that derive from DD, ID and the DM relic density.

LHC Dark Matter Working Group: Next-generation spin-0 dark matter models