Associated production of heavy quarkonium and $D-$meson in the improved color evaporation model with KaTie

In the article, we study associated production of prompt $J\mathrm{/}\psi (\mathrm{{\rm Y}})$ and $D-$mesons in the improved color evaporation model using the high-energy factorization approach as it is realized in the Monte-Carlo event generator KaTie. The modified Kimber-Martin-Ryskin-Watt model for unintegrated parton distribution functions is used. We predict cross sections for associated $J\mathrm{/}\psi (\mathrm{{\rm Y}})$ and $D-$meson hadroproduction via the single and double parton scattering mechanisms using the set of model parameters which has been fixed early for description of prompt single and pair heavy quarkonium production at the LHC energies. We found the results of calculations agree with the LHCb Collaboration data at the energies $\sqrt{s}=7,8$ TeV and we present theoretical predictions for the energy $\sqrt{s}=13$ TeV .