Radiative Seesaw Model with Degenerate Majorana Dark Matter

We study a three loop induced neutrino mass model with exotic vector-like isospin doublet leptons which contain a dark matter candidate. Then we explore lepton flavor violations, and dark matter physics in co-annihilation system. In this paper the nearly degenerate Majorana fermion dark matter can naturally be achieved 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 direct detection search with spin independent inelastic scattering through $Z$ boson portal. As a result a monochromatic photon excess, its threshold energy is greater than ${\cal O}$(200) keV, is predicted in our model that could be measured through indirect detection experiments such as INTEGRAL.