Abstract
We aim in this work to see how much the actual measurement of the Z+photon and di-photon signal strength, $\mu_{\gamma \gamma}$ and $\mu_{\gamma Z}$, could influence the allowed parameter space of the Inert Doublet Model (IDM), with particular focus on the second doublet mass $\mu_2^2$, and to what extent such measurement can be aligned with the latest bound from XENON1T experiment on the spin-independent DM-nucleon scattering cross-section cross section. Also, by considering the new embedded scalars in the IDM (i.e., $H$, $A$ and $H^\pm$), a wide investigation of the one-loop radiative corrections to the trilinear Higgs coupling $hhh$ has been made in the light of the previous measurements

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