  We study a three-loop induced neutrino model with a global $U(1)$ symmetry at
TeV scale, in which we naturally accommodate a bosonic dark matter candidate.
We discuss the allowed regions of masses and quartic couplings for charged
scalar bosons as well as the dark matter mass on the analogy of the original
Zee-Babu model, and show the difference between them. We also discuss the
possibility of the collider searches, in which future like-sign electron liner
collider could be promising.
