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We investigate the prospect of detecting the Dark Matter (DM) candidate inthe three-loop radiative neutrino mass generation model extended with largeelectroweak multiplets of the Standard Model (SM) gauge group, at the futureimaging atmospheric Cherenkov telescope known as the Cherenkov Telescope Array(CTA). We find that the addition of such large electroweak multiplets leads toa sizable Sommerfeld enhanced annihilation of the DM with $O(\text{TeV})$ mass,into the SM gauge bosons which results in continuum and line-like spectra ofvery high energy (VHE) gamma-rays, and therefore becomes observable for theCTA. We determine the viable models by setting the upper limit on the$SU(2)_{L}$ isospin of the multiplets from the partial-wave unitarityconstraints and the appearance of low-scale Landau pole in the gauge coupling.Afterwards, by considering the continuum VHE gamma-rays produced from the DMannihilation at the Galactic center, we probe the parameter space of the modelusing the sensitivity reach of the CTA.

Probing the Dark Matter of Three-loop Radiative Neutrino Mass Generation Model with the Cherenkov Telescope Array