We consider the three basic seesaw scenarios (with fermionic singlets, scalar triplets or fermionic triplets) and discuss their phenomenology, aside from neutrino masses. We use the effective field theory approach and compare the dimension-six operators characteristic of these models. We discuss the possibility of having large dimension-six operators and small dimension-five (small neutrino masses) without any fine-tuning, if the lepton number is violated at a low energy scale. Finally, we discuss some peculiarities of the phenomenology of the fermionic triplet seesaw model.
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