TY - JOUR AU - Arbelaez, C. AU - Cepedello, R. AU - Helo, J. C. AU - Hirsch, M. AU - Kovalenko, S. PY - 2022 DA - 2022// TI - How many 1-loop neutrino mass models are there? T2 - J. High Energy Phys. JO - Journal of High Energy Physics SP - 023 EP - 29pp VL - 08 IS - 8 PB - Springer KW - Other Weak Scale BSM Models KW - Models for Dark Matter KW - Neutrino Interactions AB - It is well-known that at tree-level the d = 5 Weinberg operator can be generated in exactly three different ways, the famous seesaw models. In this paper we study the related question of how many phenomenologically consistent 1-loop models one can construct at d=5. First, we discuss that there are two possible classes of 1-loop neutrino mass models, that allow avoiding stable charged relics: (i) models with dark matter candidates and (ii) models with "exits". Here, we define "exits" as particles that can decay into standard model fields. Considering 1-loop models with new scalars and fermions, we find in the dark matter class a total of (115+203) models, while in the exit class we find (38+368) models. Here, 115 is the number of DM models, which require a stabilizing symmetry, while 203 is the number of models which contain a dark matter candidate, which maybe accidentally stable. In the exit class the 38 refers to models, for which one (or two) of the internal particles in the loop is a SM field, while the 368 models contain only fields beyond the SM (BSM) in the neutrino mass diagram. We then study the RGE evolution of the gauge couplings in all our 1-loop models. Many of the models in our list lead to Landau poles in some gauge coupling at rather low energies and there is exactly one model which unifies the gauge couplings at energies above 10(15) GeV in a numerically acceptable way. SN - 1029-8479 UR - https://arxiv.org/abs/2205.13063 UR - https://doi.org/10.1007/JHEP08(2022)023 DO - 10.1007/JHEP08(2022)023 LA - English N1 - WOS:000835685500003 ID - Arbelaez_etal2022 ER -