Measurement of ${\mathrm{D}}^0$, ${\mathrm{D}}^{+}$, ${\mathrm{D}}^{\ast +}$ and ${{\mathrm{D}}^{+}}_s$ production in pp collisions at $\sqrt{\mathit{\text{s}}}=\mathbf{5.02}\mathbf{T}\mathbf{e}\mathbf{V}$ with ALICE

The measurements of the production of prompt ${\mathrm{D}}^0$, ${\mathrm{D}}^{+}$, ${\rm D^{+}}$,and${{\rm D^+}_s}$mesonsinproton--proton(pp)collisionsat$\sqrt{s}=5.02$ TeV with the ALICE detector at the Large Hadron Collider (LHC) are reported. D mesons were reconstructed at mid-rapidity ($\mathrm{\mid }y\mathrm{\mid }<0.5$) via their hadronic decay channels ${\mathrm{D}}^0\to {\mathrm{K}}^{-}{\pi }^{+}$, ${\rm D}^+\to {\rm K}^-\pi^+\pi^+$,${\rm D}^{+} \to {\rm D}^0 \pi^+ \to {\rm K}^- \pi^+ \pi^+$,${\rm D^{+}{s}\to \phi\pi^+\to K^{+} K^{-} \pi^{+}}$, and their charge conjugates. The production cross sections were measured in the transverse momentum interval $0<p_{\mathrm{T}}<36\mathrm{G}\mathrm{e}\mathrm{V}\mathrm{/}c$ for ${\mathrm{D}}^0$, $1<p{\rm T}<36~$\mathrm{G}\mathrm{e}\mathrm{V}$/c$for${\rm D^+}$and${\rm D^{*+}}$,andin$2<p_{\rm T}<24~$\mathrm{G}\mathrm{e}\mathrm{V}$/c$for${{\rm D^+}_s}$ mesons. Thanks to the higher integrated luminosity, an analysis in finer $p_{\mathrm{T}}$ bins with respect to the previous measurements at $\sqrt{s}=7$ TeV was performed, allowing for a more detailed description of the cross-section $p_{\mathrm{T}}$ shape. The measured $p_{\mathrm{T}}$-differential production cross sections are compared to the results at $\sqrt{s}=7$ TeV and to four different perturbative QCD calculations. Its rapidity dependence is also tested combining the ALICE and LHCb measurements in pp collisions at $\sqrt{s}=5.02$ TeV. 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.