photon emitted from the electromagnetic field around the second proton [@bauretal; @bertu; @hencken]. Thus, the only way for an interaction to occur by DPE in a photon-proton process is to consider the photon splitting into a quark-antiquark pair, which enables one to use the impact factor formalism [@forshaw-book]. Adopting this mechanism for an elastic process, the final state of the exclusive event will be characterized by the presence of rapidity gaps between the proton and the Higgs, and between the photon and the Higgs.

Considering Peripheral Collisions, the gluons in the DPE will be exchanged in the $t$-channel of the photon-proton subprocess instead of the proton-proton system, allowing the impact factor formalism to be used to describe the splitting of the photon into a color dipole. In this model is convenient to consider null momentum transfer ($t = 0$) for the photon impact factor during the collision. Taking the Higgs mass as a hard scale, it is possible to safely compute the event rate in a perturbative way based on the Vector meson Dominance Model (VDM) [@barone].

The plan of this paper is as follows. In Section \[sec:amp\], the scattering amplitude is calculated for the partonic $\gamma^{*}q$ subprocess with the 