[@fORM]. The Gell-Mann $t$-matrices will appear as a trace of the color matrices when the product of ${\cal{A}}_{L}{\cal{A}}_{R}$ with its complex conjugate is performed. The quantity $V^{ba}_{\delta\sigma}$ represents the $ggH$ vertex, which is known as [@kniehl] $$\begin{aligned}
V^{ab}_{\mu \nu} = \delta^{ab} \left( g_{\mu \nu} - \frac{k_{2\mu} k_{1\nu}}{k_{1} \cdot k_{2}} \right) V, \qquad\qquad\qquad V = F \left( \frac{M^{2}_{H}}{m^{2}_{t}} \right) \; \frac{M^{2}_{H} \alpha_{s}}{4 \pi v} \approx \frac{2}{3} \frac{M^{2}_{H} \alpha_{s}}{4 \pi v}.\end{aligned}$$ The approximation for $F(x)$ is valid for the production of a non-heavy Higgs boson ($M_{H} \lesssim 200\textrm{ GeV}$).

However, the value of the traces involving a product of Dirac $\gamma$-matrices is obtained adopting a particular parametrization to the four-momenta presented in this process. In this way, the Sudakov parametrization is adopted, where the four-momenta are decomposed under three base-vectors: two light-type vectors $p^{\mu}$ and $q^{\prime \mu}$, where $q^{\prime \mu} = q^{\mu} + x p^{\mu}$, and a third vector lying in the plane perpendicular to the incident axis. The main kinematical variables are $$\begin{aligned}
s = (q + p)^{2} \hspace*{2.cm} \hat{x} = Q^{2} / \, 2 \, (p \cdot q) \approx Q^{2}/s,\end{aligned}$$ where $s$ is the squared center-of-mass energy of the photon-quark system, $\hat{x}$ is the Bjorken variable and $Q^{2} = - 