The measurements of the production of prompt D , D + , D ∗ + , and Ds+ mesons in proton–proton (pp) collisions at s=5.02TeV with the ALICE detector at the Large Hadron Collider (LHC) are reported. D mesons were reconstructed at mid-rapidity (| y| < 0.5) via their hadronic decay channels D → K - π + , D + → K - π + π + , D ∗ + → D π + → K - π + π + , Ds+→ϕπ+→K+K-π+, and their charge conjugates. The production cross sections were measured in the transverse momentum interval 0<36GeV/c for D , 1<36GeV/c for D + and D ∗ + , and in 2<24GeV/c for Ds+ mesons. Thanks to the higher integrated luminosity, an analysis in finer p T bins with respect to the previous measurements at s=7TeV was performed, allowing for a more detailed description of the cross-section p T shape. The measured p T -differential production cross sections are compared to the results at s=7 TeV and to four different perturbative QCD calculations. Its rapidity dependence is also tested combining the ALICE and LHCb measurements in pp collisions at s=5.02TeV. This measurement will allow for a more accurate determination of the nuclear modification factor in p–Pb and Pb–Pb collisions performed at the same nucleon–nucleon centre-of-mass energy.
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