Abstract
We conduct a systematic search for neutrino mass models which only radiatively produce the dimension-5 Weinberg operator. We thereby do not allow for additional symmetries beyond the Standard Model gauge symmetry and we restrict ourselves to minimal models. We also include stable fractionally charged and coloured particles in our search. Additionally, we proof that there is a unique model with three new fermionic representations where no new scalars are required to generate neutrino masses at loop level. This model further has a potential dark matter candidate and introduces a general mechanism for loop-suppression of the neutrino mass via a fermionic ladder.
Highlights
The essence of the seesaw mechanisms thereby is the suppression of the neutrino mass due to the very heavy new representations
We thereby do not allow for additional symmetries beyond the Standard Model gauge symmetry and we restrict ourselves to minimal models
We proof that there is a unique model with three new fermionic representations where no new scalars are required to generate neutrino masses at loop level
Summary
We describe our systematic search for radiative neutrino mass models. If it is not possible to choose unique and nontrivial lepton numbers for the new fields and we find LNV by two units, we have identified a possible model. This is a generalisation of the LNV argument in [38]. We consider models as minimal, if the number of new representations required to generate radiative neutrino masses for a single generation is minimal. The minimal number of new representations which we have to add to the Standard Model to generate neutrino masses at the quantum level is two, except for the already mentioned Zee-model. If the new fermions carry colour, they are labelled ψX(c,a,b), respectively
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