  In this study, we aim to see how much the actual measurement of the Z+photon
and di-photon signal strength, $\mugaga$ and $\mugaZ$, could influence the
allowed parameter space of the Inert Doublet Model (IDM), and to what extent
such measurement can be aligned with the latest bound from XENON1T experiment
on the spin-independent dark-matter-nucleon scattering 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.
