A model-independent Dalitz plot analysis of $B^{\pm }\to D{K}^{\pm }$ with $D\to K_{\mathrm{S}}^0{h}^{+}{h}^{-}$ ($h=\pi ,K$) decays and constraints on the CKM angle $\gamma$

Abstract

A binned Dalitz plot analysis of $B^{\pm }\to D{K}^{\pm }$ decays, with $D\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ and $D\to K_{\mathrm{S}}^0{K}^{+}{K}^{-}$, is performed to measure the CP-violating observables $x_{\pm }$ and $y_{\pm }$ which are sensitive to the CKM angle $\gamma$. The analysis exploits 1.0 $\mathrm{f}{\mathrm{b}}^{-1}$ of data collected by the LHCb experiment. The study makes no model-based assumption on the variation of the strong phase of the D decay amplitude over the Dalitz plot, but uses measurements of this quantity from CLEO-c as input. The values of the parameters are found to be $x_{-}=(0.0\pm 4.3\pm 1.5\pm 0.6)\times 10^{-2}$, $y_{-}=(2.7\pm 5.2\pm 0.8\pm 2.3)\times 10^{-2}$, $x_{+}=(-10.3\pm 4.5\pm 1.8\pm 1.4)\times 10^{-2}$ and $y_{+}=(-0.9\pm 3.7\pm 0.8\pm 3.0)\times 10^{-2}$. The first, second, and third uncertainties are the statistical, the experimental systematic, and the error associated with the precision of the strong-phase parameters measured at CLEO-c, respectively. These results correspond to $\gamma =(44_{-38}^{+43}{)}^{\circ }$, with a second solution at $\gamma \to \gamma +180^{\circ }$, and $r_B=0.07\pm 0.04$, where $r_B$ is the ratio between the suppressed and favoured B decay amplitudes.

arXiv comment26 pages,7 figures; this revision with additional author information uploaded

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Cited by in corpus (23)

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• Measurement of the CKM angle γusing B^\pm --> D K^\pm with D-->K_Sπ^+π^-, K_SK^+K^- decays
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