We study self-conjugate dark matter(DM)particles interacting primarily with Standard Model(SM)leptons in an effective field theoretical framework.We consider SM gauge-invariant effective contact interactions between Majorana fermion,real scalar and real vector DM with leptons by evaluating the Wilson coefficients appro-priate for interaction terms up to dimension 8,and obtain constraints on the parameters of the theory from the ob-served relic density,indirect detection observations and from the DM-electron scattering cross-sections in direct de-tection experiments.Low energy LEP data has been used to study sensitivity in the pair production of low mass(≤80 GeV)DM particles.Pair production of DM particles of mass ≥ 50 GeV in association with mono-photons at the proposed ILC has rich potential to probe such effective operators.