Invariant mass distributions for (a) $ B ^\pm \rightarrow D (\rightarrow K ^0_{\rm\scriptscriptstyle S} \pi ^+ \pi ^- ) K ^\pm $ {\it long}, (b) $ B ^\pm \rightarrow D (\rightarrow K ^0_{\rm\scriptscriptstyle S} \pi ^+ \pi ^- ) \pi ^\pm $ {\it long}, (c) $ B ^\pm \rightarrow D (\rightarrow K ^0_{\rm\scriptscriptstyle S} \pi ^+ \pi ^- ) K ^\pm $ {\it downstream} and (d) $ B ^\pm \rightarrow D (\rightarrow K ^0_{\rm\scriptscriptstyle S} \pi ^+ \pi ^- ) \pi ^\pm $ {\it downstream} candidates. The fit results, including signal and background components, are superimposed. The lower plots are normalised residual distributions.

Dalitz plot and its projections, with fit result superimposed, for $B^- \rightarrow D \pi^-$ candidates; $m_{\pm}^2 \equiv m_{ K ^0_{\rm\scriptscriptstyle S} \pi ^\pm }^2$ and $m_{0}^2 \equiv m_{\pi ^+ \pi ^- }^2$. The lower parts of the figures are normalised residual distributions.

Dalitz plot and its projections, with fit result superimposed, for $B^+ \rightarrow D \pi^+$ candidates; $m_{\pm}^2 \equiv m_{ K ^0_{\rm\scriptscriptstyle S} \pi ^\pm }^2$ and $m_{0}^2 \equiv m_{\pi ^+ \pi ^- }^2$. The lower parts of the figures are normalised residual distributions.

Dalitz plot and its projections, with fit result superimposed, for $B^- \rightarrow D K^-$ candidates; $m_{\pm}^2 \equiv m_{ K ^0_{\rm\scriptscriptstyle S} \pi ^\pm }^2$ and $m_{0}^2 \equiv m_{\pi ^+ \pi ^- }^2$. The lower parts of the figures are normalised residual distributions.

Dalitz plot and its projections, with fit result superimposed, for $B^+ \rightarrow D K^+$ candidates; $m_{\pm}^2 \equiv m_{ K ^0_{\rm\scriptscriptstyle S} \pi ^\pm }^2$ and $m_{0}^2 \equiv m_{\pi ^+ \pi ^- }^2$. The lower parts of the figures are normalised residual distributions.

Likelihood contours at 39.35%, 86.47%, 98.89% and 99.97% confidence level for $(x_{+},y_{+})$ (blue) and $(x_{-},y_{-})$ (red).

Projections of the p-value regions onto the $(\gamma, \delta_{ B })$ and $(\gamma, r_{ B })$ planes with all sources of uncertainty taken into account.

Animated gif made out of all figures.

Signal and background yields for components contributing to the $ C P$ asymmetry fit, in the region $\pm 50 {\mathrm{ Me V /}c^2} $ around the known $ B ^\pm$ meson mass.

Absolute values of systematic uncertainties. The $ C P$ asymmetry fit bias is considered as a one-sided uncertainty and is included in the quadrature sum on that side only.

Model related systematic uncertainties for each alternative model. The relative signs indicate full correlation or anti-correlation.

Supplementary material full pdf

This ZIP file contains supplementary material for the publication LHCb-PAPER-2014-017. The files are: Supplementary.pdf : An overview of the extra figures (colour versions of Figure 7 of the paper) *.pdf, *.png, *.eps, *.C : The figures in various formats