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We provide an updated scan of the allowed parameter space of the two-loopZee-Babu model for neutrino mass. Taking into account most recent experimentaldata on $\mu\to e\gamma$ as well as the mixing angle $\theta_{13}$ we obtainlower bounds on the masses of the singly and doubly charged scalars of between1 to 2 TeV, with some dependence on perturbativity and fine-tuningrequirements. This makes the scalars difficult to observe at LHC with 14 TeVeven with optimistic assumptions on the luminosity, and would require amulti-TeV linear collider to see the scalar resonances. We point out, however,that a sub-TeV linear collider in the like-sign mode may be able to observelepton flavour violating processes such as $e^- e^- \to \mu^- \mu^-$ due tocontact interactions induced by the doubly charged scalar with masses up toaround 10 TeV. We investigate the possibility to distinguish the Zee-Babu modelfrom the Higgs triplet model using such processes.

Status of the Zee-Babu model for neutrino mass and possible tests at a like-sign linear collider