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We highlight the importance of the Future Circular Collider (FCC) in the search for possible Dark Matter (DM) signatures. The focus will be on well motivated Beyond the Standard Model (BSM) extensions. We consider a class of radiative neutrino mass models which extend the SM by adding heavy right handed neutrinos (RHNs), where the neutrino masses are generated at loop level. Within this class of models, the lightest RHN is considered to be stable and serves as DM candidate. We perform preliminary studies of final states which involve missing energy contributions from DM candidates to learn about the feasibility of observing these final states at the expected FCC-hh, FCC-eh and FCC-ee beam colliders. Some of our results are discussed where the topology of the the final states are analysed depending on the obtained sensitivity of the signal. The study also yields the most common promising discovery channels in exploring potential indirect DM signatures at future lepton and hadron colliders.

In this work we discuss the state of the art of the heavy neutrinos at colliders. The neutrinos in the Standard Model (SM) are considered to be massless which is in contradiction with the evidence from the neutrino oscillations experiments. These cosmological observations established that at least two SM neutrinos have non-zero masses and that individual lepton number is violated. Therefore a strong conclusive first evidence of new physics caused by the neutrino mass mechanism is emerged. In this work we discuss the collider phenomenology of neutrino mass models at the existing (LHC) and next generation large colliders (FCC: ee, hh, eh, ILC and CePC) at different high synergies. It is naturally known that colliders are not sensitive to the SM light neutrinos; however the production of heavy neutrinos is very possible to be detected; giving rise to several signal processes which are categorised by different final state topologies according to theirs physics interests. We will present the state of the art of the heavy neutrinos generated with radiative neutrino mass models and their experimental searches; mainly for Majorana neutrino signals allowing for probing the nature of the Dark Matter candidates at high energy colliders. The focus will be on the well-motivated neutrino mass models which provide an elegant framework to explore new directions in Dark Matter phenomenology at the TeV scale and the future experimental prospects.

Neutrinos in the Standard Model (SM) are considered to be massless which is in contradiction with the evidence from the neutrino oscillation data. These experiments established that at least two SM neutrinos have non-zero masses and that individual lepton numbers are violated. This is strong evidence of new physics beyond the SM that should be responsible for generating non zero mass for the neutrinos. In this work, we study the collider phenomenology of an extension of the SM where neutrinos are generated radiatively at three-loop. We show that the production of same-sign dilepton at lepton colliders (such as FCC-ee and ILC) can be used to probe the Majorana nature of neutrinos in this class of models

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