The relative abundance of the three decay modes B_d \to D^- K^+, B_d \to D^- \pi^+ and B_s \to D_s^- \pi^+ produced in 7 TeV pp collisions at the LHC is determined from data corresponding to an integrated luminosity of 35 pb^{-1}. The branching fraction of B_d \to D^- K^+ is found to be \cal B (B_d \to D^- K^+) = (2.01 \pm 0.18^{\textrm{stat}} \pm 0.14^{\textrm{syst}})\times 10^{-4}. The ratio of fragmentation fractions fs/fd is determined through the relative abundance of B_s \to D_s^- \pi^+ to B_d \to D^- K^+ and B_d \to D^-\pi^+, leading to f_s/f_d = 0.253 \pm 0.017 \pm 0.017 \pm 0.020, where the uncertainties are statistical, systematic, and theoretical respectively.
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David, P. (2011). Determination of fs/fd for 7 TeV pp collisions and a measurement of the branching fraction of the decay B_d\to D^-K^+. Physical Review Letters, 107, 211801. https://doi.org/10.1103/PhysRevLett.107.211801 (Original work published 2011)