Measurement of the CKM angle $γ$ using $B^\pm\to DK^\pm$ with $D\to K_\text{S}^0π^+π^-$, $K_\text{S}^0K^+K^-$ decays
Creators: name: LHCb Collaboration
name: Aaij, R.
name: Adeva, B.
name: Adinolfi, M.
name: Aidala, C. A.
name: Ajaltouni, Z.
name: Akar, S.
name: Albicocco, P.
name: Albrecht, J.
name: Alessio, F.
name: Alexander, M.
name: Albero, A. Alfonso
name: Ali, S.
name: Alkhazov, G.
name: Cartelle, P. Alvarez
name: Alves, A. A.
name: Amato, S.
name: Amerio, S.
name: Amhis, Y.
name: An, L.
name: Anderlini, L.
name: Andreassi, G.
name: Andreotti, M.
name: Andrews, J. E.
name: Appleby, R. B.
name: Archilli, F.
name: d'Argent, P.
name: Romeu, J. Arnau
name: Artamonov, A.
name: Artuso, M.
name: Arzymatov, K.
name: Aslanides, E.
name: Atzeni, M.
name: Bachmann, S.
name: Back, J. J.
name: Baker, S.
name: Balagura, V.
name: Baldini, W.
name: Baranov, A.
name: Barlow, R. J.
name: Barsuk, S.
name: Barter, W.
name: Baryshnikov, F.
name: Batozskaya, V.
name: Batsukh, B.
name: Battista, V.
name: Bay, A.
name: Beddow, J.
name: Bedeschi, F.
name: Bediaga, I.
name: Beiter, A.
name: Bel, L. J.
name: Beliy, N.
name: Bellee, V.
name: Belloli, N.
name: Belous, K.
name: Belyaev, I.
name: Ben-Haim, E.
name: Bencivenni, G.
name: Benson, S.
name: Beranek, S.
name: Berezhnoy, A.
name: Bernet, R.
name: Berninghoff, D.
name: Bertholet, E.
name: Bertolin, A.
name: Betancourt, C.
name: Betti, F.
name: Bettler, M. O.
name: van Beuzekom, M.
name: Bezshyiko, Ia.
name: Bhasin, S.
name: Bhom, J.
name: Bian, L.
name: Bifani, S.
name: Billoir, P.
name: Birnkraut, A.
name: Bizzeti, A.
name: Bjørn, M.
name: Blago, M. P.
name: Blake, T.
name: Blanc, F.
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name: Bobulska, D.
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name: Garcia, O. Boente
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name: Bondar, A.
name: Bondar, N.
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name: Borsato, M.
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name: Zhang, Y.
name: Zhelezov, A.
name: Zheng, Y.
name: Zhu, X.
name: Zhukov, V.
name: Zonneveld, J. B.
name: Zucchelli, S.
Publisher: name: arXiv
Year: 2018
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 $D\to K_\text{S}^0π^+π^-$ and $D\to K_\text{S}^0K^+K^-$, is used to perform a measurement of the CP-violating observables $x_{\pm}$ and $y_{\pm}$, which are sensitive to the Cabibbo-Kobayashi-Maskawa angle $γ$. The analysis is performed without assuming any $D$ decay model, through the use of information on the strong-phase variation over the Dalitz plot from the CLEO collaboration. Using a sample of proton-proton collision data collected with the LHCb experiment in 2015 and 2016, and corresponding to an integrated luminosity of 2.0$\,\text{fb}^{-1}$, the values of the CP violation parameters are found to be $x_- = ( 9.0 \pm 1.7 \pm 0.7 \pm 0.4) \times 10^{-2}$, $y_- = ( 2.1 \pm 2.2 \pm 0.5 \pm 1.1) \times 10^{-2}$, $x_+ = (- 7.7 \pm 1.9 \pm 0.7 \pm 0.4) \times 10^{-2}$, and $y_+ = (- 1.0 \pm 1.9 \pm 0.4 \pm 0.9) \times 10^{-2}$. The first uncertainty is statistical, the second is systematic, and the third is due to the uncertainty on the strong-phase measurements. These values are used to obtain $γ= \left(87\,^{+11}_{-12}\right)^\circ$, $r_B = 0.086^{+ 0.013}_{-0.014}$, and $δ_B = (101 \pm 11)^\circ$, where $r_B$ is the ratio between the suppressed and favoured $B$-decay amplitudes and $δ_B$ is the corresponding strong-interaction phase difference. This measurement is combined with the result obtained using 2011 and 2012 data collected with the \lhcb experiment, to give $γ= \left(80\,^{+10}_{\,-9}\right)^\circ$, $r_B = 0.080 \pm 0.011$, and $δ_B = (110 \pm 10)^\circ$.
description: 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-2018-017.html. Version 2 includes minor changes made during journal review