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We study a light dark matter in a radiative neutrino model to explain theX-ray line signal at about $3.5$ keV recently reported by XMN-Newton X-rayobservatory using data of various galaxy clusters and Andromeda galaxy. Thesignal requires very tiny mixing between the dark matter and an activeneutrino; $\sin^2 2\theta\approx 10^{-10}$. It could suggest that such a lightdark matter cannot contribute to the observed neutrino masses if we use theseesaw mechanism. In other words, neutrino masses might come a structuredifferent from the dark matter. We propose a model in which Dirac type activeneutrino masses are induced at one-loop level. On the other hand the mixingbetween active neutrino and dark matter are generated at two-loop level. As aresult we can explain both the observed neutrino masses and the X-ray linesignal from the dark matter decay with rather mild hierarchy of parameters inTeV scale.

7 keV Dark Matter as X-ray Line Signal in Radiative Neutrino Model