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We construct models of dark matter with suppressed spin-independentscattering cross section utilizing the existing simplified model framework.Even simple combinations of simplified models can exhibit interference effectsthat cause the tree level contribution to the scattering cross section tovanish, thus demonstrating that direct detection limits on simplified modelsare not robust when embedded in a more complicated and realistic framework. Ingeneral for fermionic WIMP masses >10 GeV direct detection limits on thespin-independent scattering cross section are much stronger than those comingfrom the LHC. However these model combinations, which we call less-simplifiedmodels, represent situations where LHC searches become more competitive thandirect detection experiments even for moderate dark matter mass. We show that acomplementary use of several searches at the LHC can strongly constrain thedirect detection blind spots by setting limits on the coupling constants andmediators' mass. We derive the strongest limits for combinations of vector +scalar, vector + "squark", and "squark" + scalar mediator, and present thecorresponding projections for the LHC 14 TeV for a number of searches:mono-jet, jets + missing energy, and searches for heavy vector resonances.

Less-simplified models of dark matter for direct detection and the LHC