Measurement of $CP$ violation and constraints on the CKM angle $γ$ in $B^{\pm}\rightarrow D K^{\pm}$ with $D \rightarrow K_S^0 π^+ π^-$ decays
Creators: name: LHCb Collaboration
name: Aaij, R.
name: Adeva, B.
name: Adinolfi, M.
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: Amerio, S.
name: Amhis, Y.
name: An, L.
name: Anderlini, L.
name: Anderson, J.
name: Andreassen, R.
name: Andreotti, M.
name: Andrews, J. E.
name: Appleby, R. B.
name: Gutierrez, O. Aquines
name: Archilli, F.
name: Artamonov, A.
name: Artuso, M.
name: Aslanides, E.
name: Auriemma, G.
name: Baalouch, M.
name: Bachmann, S.
name: Back, J. J.
name: Badalov, A.
name: Balagura, V.
name: Baldini, W.
name: Barlow, R. J.
name: Barschel, C.
name: Barsuk, S.
name: Barter, W.
name: Batozskaya, V.
name: Bay, A.
name: Beaucourt, L.
name: Beddow, J.
name: Bedeschi, F.
name: Bediaga, I.
name: Belogurov, S.
name: Belous, K.
name: Belyaev, I.
name: Ben-Haim, E.
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.
name: Blake, T.
name: Blanc, F.
name: Blouw, J.
name: Blusk, S.
name: Bocci, V.
name: Bondar, A.
name: Bondar, N.
name: Bonivento, W.
name: Borghi, S.
name: Borgia, A.
name: Borsato, M.
name: Bowcock, T. J. V.
name: Bowen, E.
name: Bozzi, C.
name: Brambach, T.
name: Brand, J. van den
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name: Brett, D.
name: Britsch, M.
name: Britton, T.
name: Brodzicka, J.
name: Brook, N. H.
name: Brown, H.
name: Bursche, A.
name: Busetto, G.
name: Buytaert, J.
name: Cadeddu, S.
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name: Calvi, M.
name: Gomez, M. Calvo
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name: Campana, P.
name: Perez, D. Campora
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name: Cardinale, R.
name: Cardini, A.
name: Carranza-Mejia, H.
name: Carson, L.
name: Akiba, K. Carvalho
name: Casse, G.
name: Cassina, L.
name: Garcia, L. Castillo
name: Cattaneo, M.
name: Cauet, Ch.
name: Cenci, R.
name: Charles, M.
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Publisher: name: arXiv
Year: 2014
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: A model-dependent amplitude analysis of $B^{\pm} \rightarrow D K^{\pm}$ with $D \rightarrow K_S^0 π^+ π^-$ decays is performed using proton-proton collision data, corresponding to an integrated luminosity of $1$ fb$^{-1}$, recorded by LHCb at a centre-of-mass energy of $7$ TeV in $2011$. Values of the $CP$ violation observables $x_{\pm}$ and $y_{\pm}$, which are sensitive to the CKM angle $γ$, are measured to be \begin{align*} x_- &amp;= +0.027 \pm 0.044 ^{+0.010}_{-0.008} \pm 0.001, \\ y_- &amp;= +0.013 \pm 0.048 ^{+0.009}_{-0.007} \pm 0.003, \\ x_+ &amp;= -0.084 \pm 0.045 \pm 0.009 \pm 0.005, \\ y_+ &amp;= -0.032 \pm 0.048 ^{+0.010}_{-0.009} \pm 0.008, \end{align*} where the first uncertainty is statistical, the second systematic and the third arises from the uncertainty of the $D \rightarrow K_S^0 π^+ π^-$ amplitude model. The value of $γ$ is determined to be $(84^{+49}_{-42})^\circ$, including all sources of uncertainty. Neutral $D$ meson mixing is found to have negligible effect.
description: 28 pages, 7 figures