In this work, we report on recent analysis of three-loop models of neutrino mass with dark matter. We discuss in detail the model of Krauss-Nasri-Trodden (KNT) [1], showing that it offers a viable solution to the neutrino mass and dark matter problems, and describe observable experimental signals predicted by the model. Furthermore, we show that the KNT model belongs to a larger class of three-loop models that can differ from the KNT approach in interesting ways.
I. INTRODUCTIONModels with radiative neutrino mass are of significant experimental interest. The inherent loop-suppression in such models allows the new physics responsible for neutrino mass to be lighter than otherwise expected. Such light new physics can be within experimental reach, either directly, through collider experiments, or indirectly, via e.g. searches for lepton flavor violating (LFV) effects. The loop suppression becomes more severe as the number of loops increases. Thus, models with three-loop masses are particularly interesting, as they generically require new physics at or around the TeV scale.He we present a class of models with radiative neutrino mass at the three-loop level [1][2][3]. We focus primarily on the KNT model [1] and report recent analysis showing that the model satisfies LFV constraints, such as µ → e + γ, and fits the neutrino oscillation data. Furthermore, the model contains a viable candidate for the dark matter (DM) in the universe, in the form of a light right-handed (RH) neutrino. We also show that a strongly first order electroweak phase transition can be achieved with a Higgs mass of ≃ 125 GeV, as measured at the LHC [4,5]. The model contains new charged scalars and we discuss their effect on the one-loop Higgs decay to neutral gauge bosons. Afterwards, we show that the KNT model belongs to a larger class of related three-loop models and briefly outline their features.