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The measurements of the production of prompt ${\rm D^0}$, ${\rm D^+}$, ${\rmD^{*+}}$, and ${{\rm D^+}_s}$ mesons in proton--proton (pp) collisions at$\sqrt{s}=5.02$ TeV with the ALICE detector at the Large Hadron Collider (LHC)are reported. D mesons were reconstructed at mid-rapidity ($|y|<0.5$) via theirhadronic decay channels ${\rm D}^0 \to {\rm K}^-\pi^+$, ${\rm D}^+\to {\rmK}^-\pi^+\pi^+$, ${\rm D}^{*+} \to {\rm D}^0 \pi^+ \to {\rm K}^- \pi^+ \pi^+$,${\rm D^{+}_{s}\to \phi\pi^+\to K^{+} K^{-} \pi^{+}}$, and their chargeconjugates. The production cross sections were measured in the transversemomentum interval $0<p_{\rm T}<36~\mathrm{GeV}/c$ for ${\rm D^0}$, $1<p_{\rmT}<36~\mathrm{GeV}/c$ for ${\rm D^+}$ and ${\rm D^{*+}}$, and in $2<p_{\rmT}<24~\mathrm{GeV}/c$ for ${{\rm D^+}_s}$ mesons. Thanks to the higherintegrated luminosity, an analysis in finer $p_{\rm T}$ bins with respect tothe previous measurements at $\sqrt{s}=7$ TeV was performed, allowing for amore detailed description of the cross-section $p_{\rm T}$ shape. The measured$p_{\rm T}$-differential production cross sections are compared to the resultsat $\sqrt{s}=7$ TeV and to four different perturbative QCD calculations. Itsrapidity dependence is also tested combining the ALICE and LHCb measurements inpp collisions at $\sqrt{s}=5.02$ TeV. This measurement will allow for a moreaccurate determination of the nuclear modification factor in p-Pb and Pb-Pbcollisions performed at the same nucleon-nucleon centre-of-mass energy.

european physical journal. c, particles and fields

Measurement of ${\rm D^0}$, ${\rm D^+}$, ${\rm D^{*+}}$ and ${{\rm  D^+}_s}$ production in pp collisions at $\mathbf{\sqrt{{\textit  s}}~=~5.02~TeV}$ with ALICE