Twist-2 operators induced Dark Matter Interactions

We study the effective interactions of the fermionic, scalar and vector dark matter (DM) with leptons and neutral electroweak gauge Bosons induced by the higher dimensional effective twist-2 tensor operators. We constrain these lepto-philic, $\tau^\pm$-philic and $U(1)_Y$ gauge Boson B-philic effective interactions of DM with the visible world from the WMAP and Planck data. The thermally averaged indirect DM pair annihilation cross-section and the DM-electron direct-detection cross-section for such DM candidates are observed to be consistent with the respective experimental data. Constraining coefficients of the effective operators from the low energy LEP data for the DM $\le$ 80 GeV, we further study their sensitivities in the pair production of such DM $\ge$ 50 GeV in association with mono-photon at the proposed ILC and perform the $\chi^2$ analysis to obtain the 99.73\% C.L. acceptance contours in the $m_{\rm DM}-\Lambda_{\rm eff}$ plane from the two dimensional differential distributions of the kinematic observables. We observe that ILC has rich potential to probe the contribution of such effective operators.