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We study a three loop induced neutrino mass model with exotic vector-likeisospin doublet leptons which contain a dark matter candidate. Then we explorelepton flavor violations, and dark matter physics in co-annihilation system. Inthis paper the nearly degenerate Majorana fermion dark matter can naturally beachieved at the two loop level, while the mass splitting can be larger than${\cal O}$(200) keV which is required from the constraint of the directdetection search with spin independent inelastic scattering through $Z$ bosonportal. As a result a monochromatic photon excess, its threshold energy isgreater than ${\cal O}$(200) keV, is predicted in our model that could bemeasured through indirect detection experiments such as INTEGRAL.

Radiative Seesaw Model with Degenerate Majorana Dark Matter