expressed as a central-rapidity distribution of the Higgs boson ($y_{H} = 0$) through the relation $d^{3}\vec{q}_{H} = \pi E_{H} d\boldsymbol{q}^{2}_{H} dy_{H}$, then $$\begin{aligned}
\left. \frac{d\sigma}{dy_{H}d\boldsymbol{p}^{2}dt} \right|_{t,y_{H} = 0} = \frac{1}{162 \pi^{4}} \left( \frac{M^{2}_{H}}{N_{c}v} \right)^{2} \alpha_{s}^{4} \, \alpha^{2} \left( \sum_{q} e^{2}_{q} \right)^{2} \left[ \frac{\alpha_{s} \, C_{F}}{\pi} \int \frac{d\boldsymbol{k}^{2}}{\boldsymbol{k}^{6}} \; {\cal{X}}(\boldsymbol{k}^{2},Q^{2}) \right]^{2},\end{aligned}$$ where the function ${\cal{X}}(\boldsymbol{k}^{2},Q^{2})$ is the function inner the parenthesis in Eq.(\[amp-im-3\]).

The main feature obtained in this result is the sixth-order $\boldsymbol{k}$-dependence, since it is distinct of the result of the Durham group, which presents a fourth-order dependence. Such difference happens due to the presence of the photon in the process, turning the result more simplified, although introducing a more complicated expression with a $Q^{2}$-dependence.

PHOTON-PROTON COLLISIONS {#sec:proton}
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The main interest of this work is the Higgs boson production in a subprocess of Peripheral Collision [@bertu; @hencken], where a photon from one of the protons (ions) under collision can interact with the second one, which is shown in Fig. \[fig:periph\]. In this case, strong interactions do not occur due to the large distance between the partonic content of the hadrons, i.e., only the electromagnetic interaction can occur, being the basic assumption to consider the impact parameter to be 