Measurement of the CKM angle $\gamma$ in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D{\pi }^{\pm }$ decays with $D\to K_{\mathrm{S}}^0{h}^{+}{h}^{-}$

Abstract

A measurement of $CP$-violating observables is performed using the decays $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D{\pi }^{\pm }$, where the $D$ meson is reconstructed in one of the self-conjugate three-body final states $K_{\mathrm{S}}{\pi }^{+}{\pi }^{-}$ and $K_{\mathrm{S}}{K}^{+}{K}^{-}$ (commonly denoted $K_{\mathrm{S}}{h}^{+}{h}^{-}$). The decays are analysed in bins of the $D$-decay phase space, leading to a measurement that is independent of the modelling of the $D$-decay amplitude. The observables are interpreted in terms of the CKM angle $\gamma$. Using a data sample corresponding to an integrated luminosity of $9{\text{fb}}^{-1}$ collected in proton-proton collisions at centre-of-mass energies of $7$, $8$, and $13\text{TeV}$ with the LHCb experiment, $\gamma$ is measured to be ${\left(68.7_{-5.1}^{+5.2}\right)}^{\circ }$. The hadronic parameters $r_B^{DK}$, $r_B^{D\pi }$, ${\delta }_B^{DK}$, and ${\delta }_B^{D\pi }$, which are the ratios and strong-phase differences of the suppressed and favoured $B^{\pm }$ decays, are also reported.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2020-019.html (LHCb public pages)

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