Measurement of the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ with $D\to K_{\text{S}}^0{\pi }^{+}{\pi }^{-}$, $K_{\text{S}}^0{K}^{+}{K}^{-}$ decays

Abstract

A binned Dalitz plot analysis of $B^{\pm }\to D{K}^{\pm }$ decays, with $D\to K_{\text{S}}^0{\pi }^{+}{\pi }^{-}$ and $D\to K_{\text{S}}^0{K}^{+}{K}^{-}$, is used to perform a measurement of the CP-violating observables $x_{\pm }$ and $y_{\pm }$, which are sensitive to the Cabibbo-Kobayashi-Maskawa angle $\gamma$. The analysis is performed without assuming any $D$ decay model, through the use of information on the strong-phase variation over the Dalitz plot from the CLEO collaboration. Using a sample of proton-proton collision data collected with the LHCb experiment in 2015 and 2016, and corresponding to an integrated luminosity of 2.0${\text{fb}}^{-1}$, the values of the CP violation parameters are found to be $x_{-}=(9.0\pm 1.7\pm 0.7\pm 0.4)\times 10^{-2}$, $y_{-}=(2.1\pm 2.2\pm 0.5\pm 1.1)\times 10^{-2}$, $x_{+}=(-7.7\pm 1.9\pm 0.7\pm 0.4)\times 10^{-2}$, and $y_{+}=(-1.0\pm 1.9\pm 0.4\pm 0.9)\times 10^{-2}$. The first uncertainty is statistical, the second is systematic, and the third is due to the uncertainty on the strong-phase measurements. These values are used to obtain $\gamma ={\left(87{}_{-12}^{+11}\right)}^{\circ }$, $r_B=0.086_{-0.014}^{+0.013}$, and ${\delta }_B=(101\pm 11{)}^{\circ }$, where $r_B$ is the ratio between the suppressed and favoured $B$-decay amplitudes and ${\delta }_B$ is the corresponding strong-interaction phase difference. This measurement is combined with the result obtained using 2011 and 2012 data collected with the \lhcb experiment, to give $\gamma ={\left(80{}_{-9}^{+10}\right)}^{\circ }$, $r_B=0.080\pm 0.011$, and ${\delta }_B=(110\pm 10{)}^{\circ }$.

arXiv commentAll figures and tables, along with any supplementary material and additional information, are available at https://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2018-017.html. Version 2 includes minor changes made during journal review

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• Improved model-independent determination of the strong-phase difference between $D^0$ and ${\bar{D}}^0\to K_{\mathrm{S},\mathrm{L}}^0{K}^{+}{K}^{-}$ decays
• Improved sensitivity to the CKM phase $\gamma$ through binning phase space in $B^{-}\to D{K}^{-}$, $D\to K^{+}{\pi }^{-}{\pi }^{-}{\pi }^{+}$ decays
• Observation of the decay $B_s^0\to {\overline{D}}^0{K}^{+}{K}^{-}$
• Observation of $B_s^0\to {\overline{D}}^{\ast 0}\varphi$ and search for $B^0\to {\overline{D}}^0\varphi$ decays
• Heavy Flavour Physics at the LHC
• Toward extracting $\gamma$ from $B\to DK$ without binning