| Summary: | Abstract In this work we compare the current experimental LHC limits of the 2HDM + scalar and pseudoscalar for the t t ¯ $$ t\overline{t} $$ , mono-Z and mono-h signatures and forecast the reach of future LHC upgrades for the mono-Z channel. Furthermore, we comment on the possibility, in case of a signal detection, to discriminate between the two models. The 2HDM+S and 2HDM+PS are two notable examples of the so-called next generation of Dark Matter Simplified Models. They allow for a renormalizable coupling of fermionic, Standard Model singlet, Dark Matter with a two Higgs doublet sector, through the mixing of the latter with a scalar or pseudoscalar singlet.
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