Seungwon Baek, P. Ko, Eibun Senaha
We implement the Zee-Babu model for the neutrino masses and mixings by incorporating a scalar dark matter $X$. The singly and doubly charged scalars that are new in the Zee-Babu model can explain the large annihilation cross section of a dark matter pair into two photons as hinted by the recent analysis of the Fermi $\gamma$-ray space telescope data, if new charged scalars are relatively light and have large couplings to a pair of dark matter particles. These new scalars can also enhance the $B (H \rightarrow \gamma\gamma)$, as the recent LHC results may suggest. The dark matter relic density can be explained. The direct detection rate of the dark matter is predicted to be about one order of magnitude down from the current experimental bound. However, it turns out that neutrino masses are too small within the parameter space fitting the 130 GeV $\gamma$-ray excess. There should be additional contributions to the neutrino masses and mixings without new extra charged particles, and the Type-I seesaw can do this job.
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http://arxiv.org/abs/1209.1685
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