Every second, over a billion neutrinos pass through your body, neutrino are by far the oddest of the fondamental particles, they are also the only electrically netral lepton while the observation of neutrino oscillations for which the data can not be explained by massless neutrinos, the dark matter (DM), and the matter-antimatter asymmetry of the universe make in evidence one of the most popular mechanisms that generate small neutrino mass. Here we present one of the attractive way to induce naturally small neutrino mass, the KNT model proposed in [1], where neutrino mass are generated radiatively at three loop, our model extends the SM with two singlet charged scalars S(1,2), and one singlet fermion, N , all having masses around the TeV scale, making it testable at collider experiments such as DM relic density [2].

In this work, we probe a class of neutrino mass models through the lepton flavor violating interactions of a singlet charged scalar, S at proton-proton collisions with 8 TeV and 14 TeV energies where this scalar produce neutrino missing energy. In our analysis we discuss the trilepton final state through magnetic and kinematic properties via different distributions by extracting relevent kinematical cut. Polarization and spin properties of opposite sign same flavor leptons signal, as well as the background free channel are studied here with the tau contribution which can enhance the signal/background ratio for center of mass energies 8  and 14 TeV.

Some photonic caracteristics are described in our model and different experimental constraints [3] are invloving by considering two benchmark points, performed detailed analysis is presented while we use the 8 TeV LHC RUN-I data [4] to put constraints on this class of models and probe the model at 14 TeV.