We study theoretical constraints on the parameter space under the conditionsfrom vacuum stability and triviality in the three-loop radiative seesaw modelwith TeV-scale right-handed neutrinos which are odd under the $Z_2$ parity. Inthis model, some of the neutrino Yukawa coupling constants can be of the orderof one. Requirement of strongly first order phase transition for successfulelectroweak baryogenes is also prefers order-one coupling constants in thescalar sector. Hence, it is important to clarify whether this model satisfiesthose theoretical conditions up to a given cutoff scale. It is found that themodel can be consistent up to the scale above 10 TeV in the parameter regionwhere the neutrino data, the lepton flavor violation data, the thermal relicabundance of dark matter as well as the requirement from the strongly firstorder phase transition are satisfied.
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