Measurements are presented of the branching fractions of the decays $B_{s}^{0} \to D_{s}^{\mp} K^{\pm}$ and $B^{0} \to D_{s}^{-} K^{+}$ relative to the decays $B_{s}^{0} \to D_{s}^{-} \pi^{+}$ and $B^{0} \to D^{-} \pi^{+}$, respectively. The data used correspond to an integrated luminosity of 3.0 fb$^{-1}$ of proton-proton collisions. The ratios of branching fractions are $\dfrac{\mathcal{B}(B_{s}^{0} \to D_{s}^{\mp} K^{\pm})}{\mathcal{B}(B_{s}^{0} \to D_{s}^{-} \pi^{+})} = 0.0752 \pm 0.0015 \pm 0.0019$ and $\dfrac{\mathcal{B}(B^{0} \to D_{s}^{-} K^{+})}{\mathcal{B}(B^{0} \to D^{-} \pi^{+})} = 0.0129 \pm 0.0005 \pm 0.0008,$ where the uncertainties are statistical and systematic, respectively.
Feynman diagrams of the processes under study. The upper diagrams represent the two tree topologies in which a $ B ^0_ s $ meson decays into the $ D ^{\mp}_ s K ^\pm $ final state, and the lower diagrams show the tree diagram of $ B ^0_ s \rightarrow D ^-_ s \pi ^+ $ and the $ W $ -exchange topology of $ B ^0_{(s)}\rightarrow D ^-_ s K ^+ $. |
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Results of the fits to the invariant mass distributions of the final states (a) $ D ^- \pi ^+ $ and (b) $ D ^-_ s \pi ^+ $. |
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Result of the fit to the invariant mass distribution of the final state $ D ^{\mp}_ s K ^\pm $. |
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Animated gif made out of all figures. |
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Kinematic and PID selection efficiencies for each signal decay, as determined from simulated events and data, respectively. The kinematic efficiencies represent weighted averages determined from events simulated at $\sqrt{s} = 7\mathrm{ Te V} $ ($34\%$) and $\sqrt{s} = 8\mathrm{ Te V} $ ($66\%$). The binomial uncertainties result from the size of the simulated samples. |
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Yields for the four signal decay types, as obtained from the fits. |
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Systematic uncertainties on the ratios of branching fractions, in $\%$, obtained as described in the text. The total uncertainty is obtained by adding the separate contributions in quadrature. |
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Supplementary material full pdf |
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This ZIP file contains supplemetary material for the publication LHCb-PAPER-2014-064. The files are: Supplementary.pdf : An overview of the extra figures *.pdf, *.png, *.eps : The figures in variuous formats |
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Fig2-S.pdf [13 KiB] HiDef png [58 KiB] Thumbnail [30 KiB] *C file |
Created on 02 May 2024.