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The absence of confirmed signal in dark matter (DM) direct detection (DD) may suggest weak interactions of DM with gluons and light quarks. In this work we consider a real scalar dark matter S interacting dominantly with Uᵢ=cR,tR via a vector-like fermion ψ and new couplings yᵢ with $i=2,3$ being flavor index. DM-nucleon scattering proceed through both Higgs portal (HP) and vector-like portal (VLP), in which HP can receive sizable radiative corrections from VLP. DM-heavy quark (cR,tR) interactions generate DM-gluon scattering via loop, in which we include renormalization group equation and heavy quark threshold effects. For y₃=0.5, y₂=0.5, 1, 3, DM relic abundance, XENON1T, Fermi-LAT and 13 TeV LHC data can exclude most of mS<mₜ/2. FCNC of top quark exist at both tree and loop level and the branch ratios are typically below 10⁻⁷ and safe from the current measurements.
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Wu et al. (2019) studied this question.