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Neutrino masses and mixings can be generated in many different ways, withsome of these scenarios featuring new physics at energy scales relevant forLarge Hadron Collider searches. A systematic approach to constructing a largeclass of models for Majorana neutrinos may be founded upon a list ofgauge-invariant effective operators -- formed from quarks, leptons and theHiggs doublet -- that violate lepton-number conservation by two units. Byopening up these operators in all possible ways consistent with some minimalityassumptions, a complete catalogue of a class of minimal radiative neutrino massmodels may be produced. In this paper we present an analysis of Feynman diagramtopologies relevant for the ultra-violet completions of these effectiveoperators and collect these into a simple recipe that can be used to generateradiative neutrino mass models. Since high mass-dimension effective operatorsare suppressed by powers of the scale of new physics, many of the resultingmodels can be meaningfully tested at the Large Hadron Collider.

Origin of neutrino masses at the LHC: Delta L = 2 effective operators and their ultraviolet completions