  We update previous analyses of the Zee-Babu model in the light of new data,
e.g., the mixing angle $\theta_{13}$, the rare decay $\mu\to e \gamma$ and the
LHC results. We also analyse the possibility of accommodating the deviations in
$\Gamma(H\to \gamma\gamma)$ hinted by the LHC experiments, and the stability of
the scalar potential. We find that neutrino oscillation data and low energy
constraints are still compatible with masses of the extra charged scalars
accessible to LHC. Moreover, if any of them is discovered, the model can be
falsified by combining the information on the singly and doubly charged scalar
decay modes with neutrino data. Conversely, if the neutrino spectrum is found
to be inverted and the CP phase $\delta \neq \pi$, the masses of the charged
scalars will be well outside the LHC reach.
