In a Z3 x Z2-symmetric three-Higgs-doublet model with one inert doublet, the tree-level dark matter-nucleon scattering cross-section can vanish in a blind spot set by the dark sector mass splitting.
Observable Heavy Higgs Dark Matter
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abstract
Dark Matter (DM), arising from an Inert Higgs Doublet, may either be light, below the $W$ mass, or heavy, above about 525 GeV. While the light region may soon be excluded, the heavy region is known to be very difficult to probe with either Direct Detection (DD) experiments or the Large Hadron Collider (LHC). We show that adding a second Inert Higgs Doublet helps to make the heavy DM region accessible to both DD and the LHC, by either increasing its couplings to the observed Higgs boson, or lowering its mass to $360 \gev \lesssim m_{DM}$, or both.
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Inert dark matter in three Higgs doublet model: a blind spot narrative
In a Z3 x Z2-symmetric three-Higgs-doublet model with one inert doublet, the tree-level dark matter-nucleon scattering cross-section can vanish in a blind spot set by the dark sector mass splitting.