  We discuss how the Zee-Babu model can be tested combining information from
neutrino data, low-energy experiments and direct searches at the LHC. We update
previous analysis in the light of the recent measurement of the neutrino mixing
angle $\theta_{13}$, the new MEG limits on $\mu \rightarrow e \gamma$, the
lower bounds on doubly-charged scalars coming from LHC data, and, of course,
the discovery of a 125 GeV Higgs boson by ATLAS and CMS. In particular, we find
that the new singly- and doubly-charged scalars are accessible at the second
run of the LHC, yielding different signatures depending on the neutrino
hierarchy and on the values of the phases. We also discuss in detail the
stability of the potential.
