  In this work, we investigate the collider constraints on effective
interactions between Dark Matter (DM) particles and electroweak gauge bosons in
a systematic way. We consider the simplified models in which scalar or Dirac
fermion DM candidates only couple to electroweak gauge bosons through high
dimensional effective operators. Taking into account the induced DM-quarks and
DM-gluons operators from the Renormalization Group Evolution (RGE) running
effect, we present comprehensive constraints on effective energy scale
$\Lambda$ and Wilson coefficients $C_B(\Lambda),\,C_W(\Lambda)$ from direct
detection, indirect detection, and collider searches. In particular, we present
the corresponding sensitivity from the Large Hadron Electron Collider (LHeC)
and the Future Circular Collider in electron-proton mode (FCC-ep) for the first
time, update the mono-$j$ and mono-$\gamma$ search limits at the Large Hadron
Collider (LHC), and derive the new limits at the Circular Electron Positron
Collider (CEPC).
