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# 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 $$\gamma$$

## Collaboration, Lhcb ; Aaij, R ; Adametz, A ; Adeva, B ; Adinolfi, M ; Adrover, C ; Affolder, A ; Ajaltouni, Z ; Albrecht, J ; Alessio, F ; Alexander, M ; Ali, S ; Alkhazov, G ; Alves, A ; Amato, S ; Amhis, Y ; Anderlini, L ; Anderson, J ; Appleby, R ; Gutierrez

arXiv.org, Oct 2, 2012 [Peer Reviewed Journal]

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• Title:
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 $$\gamma$$
• Author: Collaboration, Lhcb ; Aaij, R ; Adametz, A ; Adeva, B ; Adinolfi, M ; Adrover, C ; Affolder, A ; Ajaltouni, Z ; Albrecht, J ; Alessio, F ; Alexander, M ; Ali, S ; Alkhazov, G ; Alves, A ; Amato, S ; Amhis, Y ; Anderlini, L ; Anderson, J ; Appleby, R ; Gutierrez
• Subjects: Amplitudes ; Mathematical Models ; Large Hadron Collider ; Decay ; Parameters
• Is Part Of: arXiv.org, Oct 2, 2012
• Description: 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....
• Language: English
• Identifier: DOI: 10.1016/j.physletb.2012.10.020
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