# Measurements of the branching fractions of the decays $B^{0}_{s} \to D^{\mp}_{s} K^{\pm}$ and $B^{0}_{s} \to D^{-}_{s} \pi^{+}$

Abstract : The decay mode $\B^{0}_{s} \to D^{\mp}_{s} K^{\pm}$ allows for one of the theoretically cleanest measurements of the CKM angle $\gamma$ through the study of time-dependent $\ensuremath{CP}\xspace$ violation. This paper reports a measurement of its branching fraction relative to the Cabibbo-favoured mode $\B^{0}_{s} \to D^{-}_{s} \pi^{+}$ based on a data sample of 0.37 fb$^{-1}$ proton-proton collisions at $\sqrt{s} = 7$ TeV collected in 2011 with the LHCb detector. In addition, the ratio of $\ensuremath{\mathrm{B}}\xspace$ meson production fractions $\ensuremath{f_s/f_d}$, determined from semileptonic decays, together with the known branching fraction of the control channel $B^{0} \to D^{-} \pi^{+}$, is used to perform an absolute measurement of the branching fractions: $B (\B^0_s \to D^-_s \pi^+) \;= (2.95 \pm 0.05 \pm 0.17^{\,+\,0.18}_{\,-\,0.22}) \times 10^{-3}$, $B (\B^0_s \to D^\mp_s K^\pm) = (1.90 \pm 0.12 \pm 0.13^{\,+\,0.12}_{\,-\,0.14}) \times 10^{-4}\,$, where the first uncertainty is statistical, the second the experimental systematic uncertainty, and the third the uncertainty due to $f_s/f_d$.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00694487
Contributor : Claudine Bombar <>
Submitted on : Friday, May 4, 2012 - 2:13:19 PM
Last modification on : Wednesday, January 6, 2021 - 6:22:03 PM

### Citation

R. Aaij, I. de Bonis, D. Decamp, Ph. Ghez, P. Hopchev, et al.. Measurements of the branching fractions of the decays $B^{0}_{s} \to D^{\mp}_{s} K^{\pm}$ and $B^{0}_{s} \to D^{-}_{s} \pi^{+}$. Journal of High Energy Physics, Springer, 2012, 06, pp.115. ⟨10.1007/JHEP06(2012)115⟩. ⟨in2p3-00694487⟩

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