How many 1-loop neutrino mass models are there?

A bstract It is well-known that at tree-level the d = 5 Weinberg operator can be generated in exactly three different ways, famous seesaw models. In this paper we study related question of how many phenomenologically consistent 1-loop models one construct d=5. First, discuss there are two possible classes neutrino mass models, allow avoiding stable charged relics: (i) with dark matter candidates and (ii) “exits”. Here, define “exits” as particles decay into standard model fields. Considering new scalars fermions, find class a total (115+203) while exit (38+368) 115 number DM which require stabilizing symmetry, 203 contain candidate, maybe accidentally stable. 38 refers to for (or two) internal loop SM field, 368 only fields beyond (BSM) diagram. We then RGE evolution gauge couplings all our Many list lead Landau poles some coupling rather low energies unifies above 10 15 GeV numerically acceptable way.