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# Measurement of the CKM angle \gamma using B^\pm --> D K^\pm with D-->K_S\pi^+\pi^-, K_SK^+K^- decays

Abstract : A binned Dalitz plot analysis of $B^\pm \to D K^\pm$ decays, with $D \to K_S \pi^+\pi^-$ and $D \to K_S K^+ K^-$, is performed to measure the \CP-violating observables $x_{\pm}$ and $y_{\pm}$, which are sensitive to the Cabibbo-Kobayashi-Maskawa angle $\gamma$. The analysis exploits a sample of proton-proton collision data corresponding to 3.0\invfb collected by the LHCb experiment. Measurements from CLEO-c of the variation of the strong-interaction phase of the $D$ decay over the Dalitz plot are used as inputs. The values of the parameters are found to be $x_+ = ( -7.7 \pm 2.4 \pm 1.0 \pm 0.4 )\times 10^{-2}$, $x_- = (2.5 \pm 2.5 \pm 1.0 \pm 0.5) \times 10^{-2}$, $y_+ = (-2.2 \pm 2.5 \pm 0.4 \pm 1.0)\times 10^{-2}$, and $y_- = (7.5 \pm 2.9 \pm 0.5 \pm 1.4) \times 10^{-2}$. The first, second, and third uncertainties are the statistical, the experimental systematic, and that associated with the precision of the strong-phase parameters. These are the most precise measurements of these observables and correspond to $\gamma = (62^{\,+15}_{\,-14})^\circ$, with a second solution at $\gamma \to \gamma + 180^\circ$, and $r_B = 0.080^{+ 0.019}_{-0.021}$, where $r_B$ is the ratio between the suppressed and favoured $B$ decay amplitudes.
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Journal articles
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http://hal.in2p3.fr/in2p3-01055653
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Submitted on : Wednesday, August 13, 2014 - 10:47:48 AM
Last modification on : Thursday, December 16, 2021 - 2:11:15 PM

### Citation

R. Aaij, Y. Amhis, S. Barsuk, M. Borsato, O. Kochebina, et al.. Measurement of the CKM angle \gamma using B^\pm --> D K^\pm with D-->K_S\pi^+\pi^-, K_SK^+K^- decays. Journal of High Energy Physics, Springer, 2014, 2014 (10), pp.97. ⟨10.1007/JHEP10(2014)097⟩. ⟨in2p3-01055653⟩

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