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  • Open Access

Constraints on the unitarity triangle angle γ from Dalitz plot analysis of B0DK+π decays

R. Aaij et al. (LHCb Collaboration)
Phys. Rev. D 93, 112018 – Published 30 June 2016; Erratum Phys. Rev. D 94, 079902 (2016)

Abstract

The first study is presented of CP violation with an amplitude analysis of the Dalitz plot of B0DK+π decays, with DK+π, K+K, and π+π. The analysis is based on a data sample corresponding to 3.0fb1 of pp collisions collected with the LHCb detector. No significant CP violation effect is seen, and constraints are placed on the angle γ of the unitarity triangle formed from elements of the Cabibbo-Kobayashi-Maskawa quark mixing matrix. Hadronic parameters associated with the B0DK*(892)0 decay are determined for the first time. These measurements can be used to improve the sensitivity to γ of existing and future studies of the B0DK*(892)0 decay.

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  • Received 11 February 2016

DOI:https://doi.org/10.1103/PhysRevD.93.112018

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

© 2016 CERN, for the LHCb Collaboration

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Particles & Fields

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Vol. 93, Iss. 11 — 1 June 2016

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Images

  • Figure 1
    Figure 1

    Feynman diagrams for the contributions to B0DK+π from (a) B0D2*(2460)K+, (b) B0D¯0K*(892)0, and (c) B0D0K*(892)0 decays.

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  • Figure 2
    Figure 2

    Illustration of the method to determine γ from Dalitz plot analysis of B0DK+π decays [12, 13]: (left) the Vcb amplitude for B0D¯0K*0 compared to that for B0D2*K+ decay; (right) the effect of the Vub amplitude that contributes to B0DCPK*0 and B¯0DCPK¯*0 decays provides sensitivity to γ. The notation DCP represents a neutral D meson reconstructed in a CP eigenstate, while D2CP* denotes the decay chain D2*DCPπ, where the charge of the pion tags the flavor of the neutral D meson, independently of the mode in which it is reconstructed, so there is no contribution from the Vub amplitude.

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  • Figure 3
    Figure 3

    Results of fits to DK+π candidates in the (a,b) DK+π, (c,d) DK+K, and (e,f) Dπ+π samples. The data and the fit results in each NN output bin have been weighted according to S/(S+B) as described in the text. The left and right plots are identical but with (left) linear and (right) logarithmic y axis scales. The components are as described in the legend.

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  • Figure 4
    Figure 4

    Results of the fit to DK+π, DK+π candidates shown separately in the five bins of the neural network output variable. The bins are shown, from (a)–(e), in order of increasing S/B. The components are as indicated in the legend. The vertical dotted lines in (a) show the signal window used for the fit to the Dalitz plot.

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  • Figure 5
    Figure 5

    Results of the fit to DK+π, DK+K candidates shown separately in the five bins of the neural network output variable. The bins are shown, from (a)–(e), in order of increasing S/B. The components are as indicated in the legend. The vertical dotted lines in (a) show the signal window used for the fit to the Dalitz plot.

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  • Figure 6
    Figure 6

    Results of the fit to DK+π, Dπ+π candidates shown separately in the five bins of the neural network output variable. The bins are shown, from (a)–(e), in order of increasing S/B. The components are as indicated in the legend. The vertical dotted lines in (a) show the signal window used for the fit to the Dalitz plot.

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  • Figure 7
    Figure 7

    Dalitz plots for candidates in the B candidate mass signal region in the DK+K and π+π samples for (a) B¯0 and (b) B0 candidates. Only candidates in the three purest NN bins are included. Background has not been subtracted, and therefore some contribution from B¯s0D*0K+π decays is expected at low m(DK+) (i.e. along the top right diagonal).

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  • Figure 8
    Figure 8

    Projections of the DK+K and π+π samples and the fit result onto (a),(b) m(Dπ), (c),(d) m(K±π), and (e),(f) m(DK±) for (a),(c),(e) B¯0 and (b),(d),(f) B0 candidates. The data and the fit results in each NN output bin have been weighted according to S/(S+B) and combined. The components are described in the legend.

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  • Figure 9
    Figure 9

    Contours at 68% C.L. for the (blue) (x+,y+) and (red) (x,y) parameters associated with the B0DK*(892)0 decay, with statistical uncertainties only. The central values are marked by a circle and a cross, respectively.

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  • Figure 10
    Figure 10

    Results of likelihood scans for (a) γ, (b) rB, and (c) δB.

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  • Figure 11
    Figure 11

    Confidence level contours for (a) γ and rB, (b) γ and δB, and (c) rB and δB. The shaded regions are allowed at 68% C.L.

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  • Figure 12
    Figure 12

    Distributions of (a) κ, (b) R¯B, and (c) Δδ¯B, obtained as described in the text.

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