DD-pair production in the parton Reggeization approach taking into account single and double parton scattering scenarios

The paper presents the results of calculations of the cross sections for the production of $DD$-pairs at centre-of-mass energies $\sqrt{s}=7$ and $13$ TeV in the parton Reggeization approach. The contribution of both single and double parton scattering is taken into account. To describe the non-perturbative effects of $c$-quark hadronization into $D$-mesons, a fragmentation model with the Peterson fragmentation function is used. The parameter ${\sigma }_{eff}=11.5_{-0.5}^{+0.6}$ mb, which determines the contribution of the double parton scattering mechanism, is fixed on the basis of a comparison with the available LHCb collaboration experimental data on the $D$-meson pairs production at $\sqrt{s}=7$ TeV.