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We propose a three loop radiative neutrino mass scenario with an isolateddoubly charged singlet scalar $k^{\pm\pm}$ without couplings to the chargedleptons, while two other singly charged scalars $h_1^\pm$ and $h_2^\pm$ attachto them. In this setup, the lepton flavor violation originating from$k^{\pm\pm}$ exchanges is suppressed and the model is less constrained, wheresome couplings can take sizable values. As reported in our previous work, theloop suppression factor at the three loop level would be too strong andrealized neutrino masses in a three loop scenario could be smaller than theobserved minuscule values. The sizable couplings can help us to enhanceneutrino masses without drastically large scalar trilinear couplings appearingin a neutrino mass matrix, which tends to drive the vacuum stability to becomejeopardized at the one loop level. Now the doubly charged scalar $k^{\pm\pm}$has less constraint via lepton flavor violation and the vacuum can be quitestable, and thus a few hundred GeV mass in $k^{\pm\pm}$ is possible, which iswithin the LHC reach and this model can be tested in the near future. Note thatthe other $h_1^\pm$ and $h_2^\pm$ should be heavy at least around a few TeV. Wesuitably arrange the charges of an additional global $U(1)$ symmetry, where thedecay constant of the associated Nambu-Goldstone boson can be around a TeVscale consistently. Also, this model is indirectly limited through a globalanalysis on results of the LHC Higgs search and issues on a dark mattercandidate, the lightest Majorana neutrino. After $h_1^\pm$ and $h_2^\pm$ aredecoupled, this particle couples to the standard model particles only throughtwo charge parity even scalars in theory and thus information on this scalarsector is important. Consistent solutions are found, but a part of them is nowon the edge.

Three Loop Neutrino Model with Isolated $k^{\pm\pm}$