We study the phenomenology of a Standard Model extension with two charged singlet scalars and three right handed neutrinos at an electron-positron collider. In this model, the neutrino mass is generated radiatively at three-loop, the lightest right handed neutrino is a good dark matter candidate, and the electroweak phase transition strongly first order as required for baryogenesis. We focus on the process e + + e − → e − µ + + Emiss, where the model contains new lepton flavor violating interactions that contribute to the missing energy. We investigate the feasibility of detecting this process at future e − e + linear colliders at different center of mass energies: ECM = 250, 350, 500 GeV, and 1 TeV.
I. INTRODUCTIONThe Standard Model (SM) of elementary particle physics is very successful in explaining physics around the electroweak scale. However, despite this several questions remain to be answered such as neutrino masses and mixing [1], the nature of the dark matter (DM) [2], and the origin of the baryon asymmetry of the Universe [3]. None of these issues is successfully explained within the SM. Therefore, various extensions beyond the SM have been proposed to address these problems.In Ref.[4], Krauss, Trodden, and one of the authors in this paper, proposed an extension of the SM with two charged SU (2) L singlet scalars and one right handed (RH) neutrino field N 1 , where a Z 2 symmetry was imposed at the Lagrangian level in order to forbid the Dirac neutrino mass terms. After the breaking of the electroweak symmetry, neutrino masses are generated at three-loop, which makes their masses naturally small due to the high loop suppression. Moreover, the field N 1 is odd under Z 2 symmetry, and thus it is guaranteed to be stable, which makes it a good candidate for DM. Ref.[5] studied the phenomenological implication of this model with two RH neutrinos, instead of just one. In [6], it was shown that in order to fit the neutrino oscillation data and be consistent with different recent experimental constraints such as lepton flavor violation (LFV), one needs to have three RH neutrinos. Somewhat similar classes of three-loop neutrino mass models have also been studied in [7,8].In this work, we consider the feasibility of testing this radiative model at the next-generation electron-positron colliders [9][10][11][12] 14]. The International Linear Collider (ILC), being designed for operation at several e − e + collision energies, will be a great opportunity to anticipate detailed physics studies of our model. Among the different processes which can be studied at the ILC, we will focus here on the process e − e + → e − µ + +E miss within the allowed kinematic regions of the machine. Further dedicated studies that probe different final states are in preparation for future works [13]. Accordingly, our signal will consist of electron, anti-muon and missing energy. In the SM, the missing energy is coming just from one source E (SM) miss ≡ν e ν µ , whereas in our model, there are twelve different processes that give rise to E...