TY - JOUR AU - Bonnet, F. AU - Hirsch, M. AU - Ota, T. AU - Winter, W. PY - 2012 DA - 2012// TI - Systematic study of the d=5 Weinberg operator at one-loop order T2 - J. High Energy Phys. JO - Journal of High Energy Physics SP - 153 EP - 23pp VL - 07 IS - 7 PB - Springer KW - Beyond Standard Model KW - Neutrino Physics AB - We perform a systematic study of the d = 5 Weinberg operator at the one-loop level. We identify three different categories of neutrino mass generation: (1) finite irreducible diagrams; (2) finite extensions of the usual seesaw mechanisms at one-loop and (3) divergent loop realizations of the seesaws. All radiative one-loop neutrino mass models must fall in to one of these classes. Case (1) gives the leading contribution to neutrino mass naturally and a classic example of this class is the Zee model. We demonstrate that in order to prevent that a tree level contribution dominates in case (2), Majorana fermions running in the loop and an additional Z(2) symmetry are needed for a genuinely leading one-loop contribution. In the type-II loop extensions, the Yukawa coupling will be generated at one loop, whereas the type-I/III extensions can be interpreted as loop-induced inverse or linear seesaw mechanisms. For the divergent diagrams in category (3), the tree level contribution cannot be avoided and is in fact needed as counter term to absorb the divergence. SN - 1126-6708 UR - http://arxiv.org/abs/1204.5862 UR - https://doi.org/10.1007/JHEP07(2012)153 DO - 10.1007/JHEP07(2012)153 LA - English N1 - WOS:000307299800031 ID - Bonnet_etal2012 ER -