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The elastic production of top quark pairs in $pp$ collisions at low and highluminosity regimes is investigated in detail. We extend the study performed inPhys. Rev. D102, 074014 (2020) which has demonstrated that the sum of twosemi-exclusive $t\bar{t}$ production modes, namely in photon-Pomeron andPomeron-Pomeron interactions, can be experimentally measured when the$t\bar{t}$ system decays semi-leptonically, $t\bar{t}\rightarrowjjbl\nu_l\bar{b}$, both forward protons are tagged and a low amount of pile-upis present. In this study we focus on separating individual channels and aspecial attention is paid to the situation at high-luminosity LHC environment.We observe that the separation of the pomeron-pomeron and photon-photon eventsis a challenging task, especially at high amounts of pile-up even with anoptimistic 10~ps resolution of timing detectors. In contrast, thephoton-Pomeron signal is relatively well separable from all backgrounds at lowlevels of pile-up, allowing us to discover the elastic $t\bar{t}$ productionand probe, for the first time, the production of a top quark pair in thephoton-Pomeron interactions. The diffractive photoproduction of such a complexsystem as the $t\bar{t}$ pair hence can be used not only to study diffractiveproperties of the scattering amplitude but also to search for new physicsbeyond the Standard Model, and consequently to be a solid part of the physicsprogramme of forward proton detectors at LHC.

Challenging exclusive top quark pair production at low and high luminosity LHC