Mass distribution of selected $ K ^0_{\rm\scriptscriptstyle S} \pi ^+ $ candidates. The data are represented by symbols with error bars. The dashed curves indicate the signal and the $ D ^+_ s \rightarrow K ^0_{\rm\scriptscriptstyle S} \pi ^+ $ decays, the lower solid line represents the background shape, and the upper solid line shows the sum of all fit components.

Background-subtracted distribution of transverse momenta $p_{\rm T}$ versus pseudorapidity $\eta$ for selected $ D ^+ \rightarrow K ^0_{\rm\scriptscriptstyle S} \pi ^+ $ candidates in a signal region of $1845 < m < 1890$ $ {\mathrm{ Me V /}c^2}$ . The bin marked with an asterisk is excluded from the weighted average over the production asymmetries in the bins used to obtain the final result.

Observed $ K ^0_{\rm\scriptscriptstyle S}$ decay time distribution within the LHCb acceptance. The data points are fitted with an empirical function (solid curve). This contains a component for the upper decay time acceptance, due mainly to the requirement that the $ K ^0_{\rm\scriptscriptstyle S}$ decays inside the VELO (dashed curve) and a component for the lower decay time acceptance, due to the selection cuts (dotted curve). These are shown scaled by arbitrary factors. The CPV is not sensitive to the fine details of the distribution, so the fit quality is not important.

Production asymmetry as a function of (a) transverse momentum $p_{\rm T}$ and (b) pseudorapidity $\eta$. The straight line fits have slopes of $(0.09\pm0.07) \times10^{-2}$ ( $ {\mathrm{ Ge V /}c}$ )$^{-1}$ and $(-0.36\pm0.28)$%, and values of $\chi^{2}$ per degree of freedom of $5.5/6$ and $2.2/4$, respectively. The error bars include only the statistical uncertainty on the $ D ^+$ signal sample and are uncorrelated within a given plot.

Animated gif made out of all figures.

Production asymmetry for $ D ^+$ mesons, in percent, in $( p_{\rm T} , \eta)$ bins, for $2.0 < p_{\rm T} < 18.0$ $ {\mathrm{ Ge V /}c}$ and $2.20 < \eta < 4.75$. The uncertainties shown are statistical only; the systematic uncertainty is $0.17\%$ (see Table 2).

Summary of absolute values of systematic uncertainties on $A_{\mathrm{P}}$. For the binned production asymmetries given in Table 1, all uncertainties except that on the reconstruction efficiency apply, giving a combined systematic uncertainty of 0.17%.