Measurements of charmed meson and antimeson production asymmetries at $\sqrt{s}=13.6$ TeV

This article presents doubly differential measurements of the asymmetries in production rates between mesons containing a charm quark and those containing an anticharm quark in proton-proton collisions at a centre-of-mass energy of $\sqrt{s}=13.6$ TeV using data recorded by the LHCb experiment. The asymmetries of $D^0$, $D^{+}$ and $D_s^{+}$ mesons are measured for two-dimensional intervals in transverse momentum and pseudorapidity, within the range $2.5<p_T<25.0$ GeV$\mathrm{/}c$ and $2.0<\eta <4.5$. No significant production asymmetries are observed. Comparisons to the Pythia 8 and Herwig 7 event generators are also presented, and their agreement with the data is evaluated. These measurements constitute the first measurements of production asymmetries at this centre-of-mass energy of colliding beams, and the first measurements with the LHCb Run 3 detector.