A model-independent Dalitz plot analysis of $B^\pm \to D K^\pm$ with $D \to K^0_{\rm S} h^+h^-$ ($h=π, K$) decays and constraints on the CKM angle $γ$
Creators: name: LHCb Collaboration
name: Aaij, R.
name: Beteta, C. Abellan
name: Adametz, A.
name: Adeva, B.
name: Adinolfi, M.
name: Adrover, C.
name: Affolder, A.
name: Ajaltouni, Z.
name: Albrecht, J.
name: Alessio, F.
name: Alexander, M.
name: Ali, S.
name: Alkhazov, G.
name: Cartelle, P. Alvarez
name: Alves, A. A.
name: Amato, S.
name: Amhis, Y.
name: Anderlini, L.
name: Anderson, J.
name: Appleby, R. B.
name: Gutierrez, O. Aquines
name: Archilli, F.
name: Artamonov, A.
name: Artuso, M.
name: Aslanides, E.
name: Auriemma, G.
name: Bachmann, S.
name: Back, J. J.
name: Baesso, C.
name: Baldini, W.
name: Barlow, R. J.
name: Barschel, C.
name: Barsuk, S.
name: Barter, W.
name: Bates, A.
name: Bauer, Th.
name: Bay, A.
name: Beddow, J.
name: Bediaga, I.
name: Belogurov, S.
name: Belous, K.
name: Belyaev, I.
name: Ben-Haim, E.
name: Benayoun, M.
name: Bencivenni, G.
name: Benson, S.
name: Benton, J.
name: Berezhnoy, A.
name: Bernet, R.
name: Bettler, M. -O.
name: van Beuzekom, M.
name: Bien, A.
name: Bifani, S.
name: Bird, T.
name: Bizzeti, A.
name: Bjørnstad, P. M.
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name: Blusk, S.
name: Bobrov, A.
name: Bocci, V.
name: Bondar, A.
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name: Bonivento, W.
name: Borghi, S.
name: Borgia, A.
name: Bowcock, T. J. V.
name: Bozzi, C.
name: Brambach, T.
name: Brand, J. van den
name: Bressieux, J.
name: Brett, D.
name: Britsch, M.
name: Britton, T.
name: Brook, N. H.
name: Brown, H.
name: Büchler-Germann, A.
name: Burducea, I.
name: Bursche, A.
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name: Cadeddu, S.
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name: Gomez, M. Calvo
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name: Cardini, A.
name: Carson, L.
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name: Cattaneo, M.
name: Cauet, Ch.
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name: Chen, P.
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name: Xing, F.
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name: Yang, Z.
name: Young, R.
name: Yuan, X.
name: Yushchenko, O.
name: Zangoli, M.
name: Zavertyaev, M.
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Publisher: name: arXiv
Year: 2012
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: A binned Dalitz plot analysis of $B^\pm \to D K^\pm$ decays, with $D \to K^0_{\rm S} π^+π^-$ 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 $γ$. 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 $γ= (44^{\,+43}_{\,-38})^\circ$, with a second solution at $γ\to γ+ 180^\circ$, and $r_B = 0.07 \pm 0.04$, where $r_B$ is the ratio between the suppressed and favoured B decay amplitudes.
description: 26 pages,7 figures; this revision with additional author information uploaded