  Weakly interacting fermion with the Standard Model particles is a promising
candidate of the genuine dark matter. In this paper, we study signatures of the
gluonic interactions of a dark fermion and a neutrino at hadron colliders and
direct detection experiments. The lowest order interactions are described by
contact operators in dimension 7. At hadron colliders, the mono-jet production
is the most sensitive channel. And these operators can also induce both
spin-independent and spin dependent absorption of the dark fermion at nuclear
target. We show that for a nearly massless dark fermion, the energy scales are
constrained to be higher than 500 GeV and 1.2 TeV by the current LHC and HE-LHC
searches, respectively. Furthermore, we also find that almost all the parameter
space accessible by the spin-independent absorption has been excluded by the
current LHC constraints. In contrast, for spin-dependent absorption at light
nuclear target there is still some parameter space which can not be reached by
current and upcoming LHC searches.
