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We extend the Zee-Babu model for the neutrino masses and mixings by firstincorporating a scalar dark matter $X$ with $Z_2$ symmetry and then $X$ and adark scalar $\varphi$ with global $U(1)$ symmetry. In the latter scenario thesingly and doubly charged scalars that are new in the Zee-Babu model canexplain the large annihilation cross section of a dark matter pair into twophotons as hinted by the recent analysis of the Fermi $\gamma$-ray spacetelescope data. These new scalars can also enhance the $B ( H \rightarrow\gamma\gamma )$, as the recent LHC results may suggest. The dark matter relicdensity can be explained. The direct detection rate of the dark matter ispredicted to be about one order of magnitude down from the current experimentalbound in the first scenario.

Can Zee-Babu model implemented with scalar dark matter explain both Fermi-LAT 130 GeV $\gamma$-ray excess and neutrino physics ?