Associated production of Higgs at linear collider in the inert Higgs Doublet Model

We study the correlation between the Standard Model Higgs decay h→ γ γ and h→ Z γ in the Inert Higgs Doublet Model. It is found that these two one-loop-induced decays are positively correlated, with the latter channel having slightly smaller branching ratio than the former one. At the Linear Collider, we study the interplay of the off-shell extension of these two amplitudes that contributed significantly to the associated production of the Higgs boson with a photon in the process e⁺ e⁻ → γ h and with an electron in the process e⁻γ → e⁻ h in the s and t channels, respectively, via both γ and Z exchange for each process.