is the profile function and $P(s,b)$ is the probability that inelastic interactions occur during the process. For this proposal, the assumptions of our paper are based in the previous works that calculate the GSP for Higgs production [@chehime; @KMR; @luna; @gotsman]. As a kinematical consequence, it has a dependence on the center-of-mass energy of the process, such that it decreases as the energy increases. Consequently, the Durham group estimates the survival probability for diffractive Higgs production considering a similar approach than that of Bjorken. Their approach consists in computing the GSP through $$\begin{aligned}
S^{2}_{gap} = \frac{\int |{\cal{M}}(s,b)|^{2} \, e^{-\Omega(b)} \, d^{2}b}{\int |{\cal{M}}(s,b)|^{2} \, d^{2}b},\end{aligned}$$ where ${\cal{M}}(s,b)$ is the scattering amplitude of the process in the impact-parameter space at the squared center-of-mass energy $s$. The function $\Omega(b)$ is the opacity (or optical density) of the interaction between the hadrons under collision. A relevant feature of this approach is that the GSP depends on the particular hard subprocess under study, and its kinematical configurations [@KMR]. Furthermore, there is a dependence of the GSP on the parton distribution in the protons, which is described in the impact-parameter space, and can be parametrized by several proposals [@GRV; @MRST; @ALEKHIN; @CTEQ]. As a result of 