Double Higgs Boson Production via Photon Fusion at Muon Colliders within the Triplet Higgs Model

In this paper, we present predictions for scattering cross-section the of Higgs boson pair production via photon fusion at future muon colliders, focusing specifically the production processes ${\mu }^{+}{\mu }^{-}\to \gamma \gamma \to h^0{h}^0,A^0{A}^0$. We investigated the impact of three choices the photon structure functions on cross-section predictions for a range model input parameters within the theoretical framework of the Higgs Triplet Model.