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Physics Letters B 718 (2012) 43-55
A model-independent Dalitz plot analysis of $B^\pm \to D K^\pm$ with $D \to K^0_{\rm S} h^+h^-$ ($h=\pi, K$) decays and constraints on the CKM angle $\gamma$
R. Aaij, S. Barsuk1, O. Callot1, J. He1, B. Jean-Marie1, J. Lefrançois1, F. Machefert1, A. Martin Sanchez1, M. Nicol1, P. Robbe1, M.-H. Schune1, B. Viaud1, I. Videau1, E. Ben-Haim2, M. Benayoun2, P. David2, L. Del Buono2, A. Martens2, F. Polci2, Z J Ajaltouni3, E. Cogneras3, O. Deschamps3, I. El Rifai3, P. Henrard3, M. Hoballah3, M. Jahjah Hussein3, R. Lefèvre3, L. Li Gioi3, S. Monteil3, V. Niess3, Pascal Perret3, D. Roa Romero3, K. Sobczak3, C. Adrover4, E. Aslanides4, J. Cogan4, R. Legac4, O. Leroy4, G. Mancinelli4, E. Maurice4, M. Perrin-Terrin4, M. Sapunov4, J. Serrano4, A. Tsaregorodtsev4, I. De Bonis5, D. Decamp5, Ph. Ghez5, P. Hopchev5, J.-P. Lees5, I.V. Machikhiliyan5, M.-N. Minard5, B. Pietrzyk5, S. T'Jampens5, V. Tisserand5, E. Tournefier5
For the LHCb collaboration(s)

A binned Dalitz plot analysis of $B^\pm \to D K^\pm$ decays, with $D \to K^0_{\rm S} \pi^+\pi^-$ and $D \to K^0_{\rm S} K^+ K^-$, 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 $\rm fb^{-1}$ 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 $\gamma = (44^{\,+43}_{\,-38})^\circ$, 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.
1:  LAL - Laboratoire de l'Accélérateur Linéaire
2:  LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies
3:  LPC - Laboratoire de Physique Corpusculaire [Clermont-Ferrand]
4:  CPPM - Centre de Physique des Particules de Marseille
5:  LAPP - Laboratoire d'Annecy le Vieux de Physique des Particules
Physics/High Energy Physics - Experiment
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