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Associated production of prompt $\Upsilon(1S)$ and $D^{+,0}$ mesons has beenproposed as a golden channel for the search of Double Parton Scattering,because Single Parton Scattering contribution to the cross-section is believedto be negligible on a basis of leading order calculations in the CollinearParton Model. We study this process in the leading order approximation of theParton Reggeization Approach. Hadronization of $b\bar{b}$-pair into bottomoniumstates is described within framework of the NRQCD-factorization approach whileproduction of $D$ mesons is described in the fragmentation model withscale-dependent fragmentation functions. We have found good agreement with LHCbdata for various normalized differential distributions, except for the case ofspectra on azimuthal angle differences at the small $\Delta\varphi$ values.Crucially, the total cross-section in our Single Parton Scattering modelaccounts for more than one half of observed cross-section, thus dramaticallyshrinking the room for Double Parton Scattering mechanism.

Evidence in favor of Single Parton Scattering mechanism in $\Upsilon$ and $D$ associated production at the LHC