photon virtuality applied for a quasi-real photon (Q$^{2} \simeq$ 0). The Section \[sec:proton\] will be dedicated to analyse the process in a realistic way, where the quark contribution in the scattering amplitude will be replaced by a non-diagonal and non-integrated gluon distribution function in the proton of the exclusive $\gamma p$ process. The Section \[sec:results\] provides the numerical results for the diffractive Higgs boson production, and we analyse the robustness of this approach. Finally, the Section \[sec:disc\] discusses the important features of this approach and the Section \[sec:ccl\] summarizes the ideas concerning the study of this physical process and the conclusions of this work.

PARTONIC PROCESS {#sec:amp}
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The study of diffractive Higgs boson production in $\gamma^{*}q$ processes is based on the kinematical variables used in the description of the Deeply Virtual Compton Scattering (DVCS), where the splitted photon interacts with the proton by a gluon ladder exchange [@frankfurt; @kuchina]. The interaction between the colliding particles through DPE is the main feature of this proposal, which provides the leading process for the Higgs production in the range $M_{H} < $ 200 GeV. This kind of process is commonly studied in Peripheral Collisions, where the impact parameter between the colliding particles 