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Determination of the branching fractions of $B_{s}^{0} \to D_{s}^{\mp} K^{\pm}$ and $B^{0} \to D_{s}^{-} K^{+}$

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Abstract

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.

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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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Tables and captions

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{\,TeV} $ ($34\%$) and $\sqrt{s} = 8\mathrm{\,TeV} $ ($66\%$). 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 [file]

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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Created on 09 December 2018.Citation count from INSPIRE on 09 December 2018.