Differential cross-section measurements of $D^{\pm }$ and $D_s^{\pm }$ meson production in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector

The production of $D^{\pm }$ and $D_s^{\pm }$ charmed mesons is measured using the $D^{\pm }\mathrm{/}{D}_s^{\pm }\to \phi (\mu \mu ){\pi }^{\pm }$ decay channel with 137 fb${}^{-1}$ of $\sqrt{s}=13$ TeV proton-proton collision data collected with the ATLAS detector at the Large Hadron Collider during the years 2016-2018. The charmed mesons are reconstructed in the range of transverse momentum $12<p_{\mathrm{T}}<100$ GeV and pseudorapidity $\mathrm{\mid }\eta \mathrm{\mid }<2.5$. The differential cross-sections are measured as a function of transverse momentum and pseudorapidity, and compared with next-to-leading-order QCD predictions. The predictions are found to be consistent with the measurements in the visible kinematic region within the large theoretical uncertainties.