Nonperturbative effects on electroweakly interacting massive particles at hadron collider

Electroweakly Interacting Massive Particles (EWIMPs), in other words, new massive particles that are charged under the electroweak interaction of Standard Model (SM), often predicted various physics models. EWIMPs probed at hadron collider experiments not only by observing their direct productions but also measuring quantum effects on Drell-Yan processes for SM lepton pair productions. Such known to be enhanced especially when di-lepton invariant mass final state is close EWIMP threshold, namely twice mass. In such a region, however, we have carefully take non-perturbative into account, because become non-relativistic and prediction may significantly affected e.g., bound states caused interaction. We study using effective field theory EWIMPs, found those indeed affect differential cross section significantly, though smeared due finite energy resolution measurement Large Hadron Collider experiment.