Measurement of the CKM angle $\gamma$ using $B^0\to D{K}^{\ast 0}$ with $D\to K_S^0{\pi }^{+}{\pi }^{-}$ decays

Abstract

A model-dependent amplitude analysis of the decay $B^0\to D(K_S^0{\pi }^{+}{\pi }^{-})K^{\ast 0}$ is performed using proton-proton collision data corresponding to an integrated luminosity of 3.0fb${}^{-1}$, recorded at $\sqrt{s}=7$ and $8TeV$ by the LHCb experiment. The CP violation observables $x_{\pm }$ and $y_{\pm }$, sensitive to the CKM angle $\gamma$, are measured to be \begin{eqnarray*} x_- &=& -0.15 \pm 0.14 \pm 0.03 \pm 0.01, y_- &=& 0.25 \pm 0.15 \pm 0.06 \pm 0.01, x_+ &=& 0.05 \pm 0.24 \pm 0.04 \pm 0.01, y_+ &=& -0.65^{+0.24}_{-0.23} \pm 0.08 \pm 0.01, \end{eqnarray*} where the first uncertainties are statistical, the second systematic and the third arise from the uncertainty on the $D\to K_S^0{\pi }^{+}{\pi }^{-}$ amplitude model. These are the most precise measurements of these observables. They correspond to $\gamma =(80_{-22}^{+21}{)}^{\circ }$ and $r_{B^0}=0.39\pm 0.13$, where $r_{B^0}$ is the magnitude of the ratio of the suppressed and favoured $B^0\to D{K}^{+}{\pi }^{-}$ decay amplitudes, in a $K\pi$ mass region of $\pm 50MeV$ around the $K^{\ast }(892{)}^0$ mass and for an absolute value of the cosine of the $K^{\ast 0}$ decay angle larger than $0.4$.

All figures and tables, along with any supplementary material and additional information, are available at https://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2016-007.html

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• Precision measurement of the $D^{\ast 0}$ decay branching fractions
• Model-independent measurement of the CKM angle $\gamma$ using $B^0\to D{K}^{\ast 0}$ decays with $D\to K_S^0{\pi }^{+}{\pi }^{-}$ and $K_S^0{K}^{+}{K}^{-}$

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