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Measurement of $CP$ observables in $B^\pm \to D K^\pm$ and $B^\pm \to D \pi^\pm$ with $D \to K_{\rm{S}}^0 K^\pm \pi^\mp$ decays

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Abstract

Measurements of $CP$ observables in $B^\pm \to D K^\pm$ and $B^\pm \to D \pi^\pm$ decays are presented, where $D$ represents a superposition of $D^0$ and $\bar{D}^0$ states. The $D$ meson is reconstructed in the three-body final state $K_{\rm{S}}^0K^\pm \pi^\mp$. The analysis uses samples of $B$ mesons produced in proton-proton collisions, corresponding to an integrated luminosity of 1.0, 2.0, and 6.0 fb$^{-1}$ collected with the LHCb detector at centre-of-mass energies of $\sqrt{s} = $ 7, 8, and 13 TeV, respectively. These measurements are the most precise to date, and provide important input for the determination of the CKM angle $\gamma$.

Figures and captions

$D\rightarrow K ^0_{\mathrm{S}} K ^+ \pi ^- $ Dalitz plots from the SS (left) and OS (right) data samples, for $ B ^+ \rightarrow D K ^+ $ (top) and $ B ^+ \rightarrow D \pi ^+ $ (bottom). Both long and downstream $ K ^0_{\mathrm{S}} $ decays are included. The purple lines indicate the kinematic boundary.

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Invariant mass of SS $ B ^\pm \rightarrow [ K ^0_{\mathrm{S}} K ^\pm \pi ^\mp ]_D h^{\pm}$ candidates within the $ K ^{*+}$ region; candidates containing both long and downstream $K_s^0$ mesons are shown.

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Invariant mass of OS $ B ^\pm \rightarrow [ K ^0_{\mathrm{S}} K ^\mp \pi ^\pm ]_D h^{\pm}$ candidates within the $ K ^{*+}$ region. The fit components are detailed in the legend of Fig. 2.

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Invariant mass of SS $ B ^\pm \rightarrow [ K ^0_{\mathrm{S}} K ^\pm \pi ^\mp ]_D h^{\pm}$ candidates in the non- $ K ^{*+}$ region. The fit components are detailed in the legend of Fig. 2.

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Invariant mass of OS $ B ^\pm \rightarrow [ K ^0_{\mathrm{S}} K ^\mp \pi ^\pm ]_D h^{\pm}$ candidates in the non- $ K ^{*+}$ region. The fit components are detailed in the legend of Fig. 2.

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Comparison with SM expectations for results within the $ K ^{*+}$ region, using current world-average parameter values. The dashed blue line indicates the expected SM value, and the shaded dark (light) blue regions indicate the 68% (95%) confidence-level intervals. The results are shown as black points with black (red) error bars indicating the statistical (total) uncertainty.

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Tables and captions

Signal yields summed over charge, as measured in each Dalitz region.

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Created on 14 January 2021.