LHCb measurements of $J/\psi$, and open charm cross-sections at $\sqrt{s}=13$TeV

Prompt $J/\psi$, $J/\psi$ from $b$-hadrons and prompt charm meson production is studied in proton-proton collisions at a center-of-mass energy of $\sqrt{s}=13$TeV at the LHCb detector with first application of a novel data streaming technique (Turbo steam). Cross-section measurements are performed as a function of the transverse momentum $p_T$ and the rapidity $y$ of the mesons in the region $p_T<15$GeV$/c$ and $2.0<y<4.5$. Obtained results were compared with expectations from QCD calculations. The ratios of the cross-sections with respect to Run 1 measurements are also determined. Comparison of the measured ratios values with theoretical predictions provided a new sensitive test of the QCD calculations.