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We discuss the production of $t\bar t$ quark-antiquark pairs in proton-protoncollisions via the $\gamma\gamma$ fusion mechanism. We include topologies inwhich both protons stay intact or one or even both of them undergodissociation. The calculations are performed within the $k_{\rmT}$-factorisation approach, including transverse momenta of intermediatephotons. Photon fluxes associated to inelastic (dissociative) processes arecalculated based on modern parameterisations of proton structure functions. Wefind an integrated cross section of about 2.36 fb at $\sqrt{s}=$ 13 TeV for allcontributions. The cross section for the fully elastic process is the smallest.Inelastic contributions are significantly reduced when a veto on outgoing jetsis imposed. We present several differential distributions in rapidity andtransverse momenta of single $t$ or $\bar t$ quarks/antiquarks as well asdistributions in invariant mass of both the $t\bar t$ and masses of dissociatedsystems. A few two-dimensional distributions are presented in addition.

Production of $t\bar t$ pairs via $\gamma\gamma$ fusion with photon transverse momenta and proton dissociation