  Photon-photon interactions represent an important class of physics processes
at the LHC, where quasi-real photons are emitted by both colliding protons.
These reactions can result in the exclusive production of a final state $X$,
$p+p \rightarrow p+p+X$. When computing such cross sections, it has already
been shown that finite size effects of colliding protons are important to
consider for a realistic estimate of the cross sections. These first results
have been essential in understanding the physics case of heavy-ion collisions
in the low invariant mass range, where heavy ions collide to form an exclusive
final state like a $J/\Psi$ vector meson. In this paper, our purpose is to
present some calculations that are valid also for the exclusive production of
high masses final states in proton-proton collisions, like the production of a
pair of $W$ bosons or the Higgs boson. Therefore, we propose a complete
treatment of the finite size effects of incident protons irrespective of the
mass range explored in the collision. Our expectations are shown to be in very
good agreement with existing experimental data obtained at the LHC.
