# Determination of $f_s/f_d$ for 7 TeV pp Collisions and Measurement of the $B^0 \to D^-K^+$ Branching Fraction

Abstract : 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 \fsfdt 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.
Document type :
Journal articles

http://hal.in2p3.fr/in2p3-00607036
Contributor : Claudine Bombar <>
Submitted on : Thursday, July 7, 2011 - 4:49:28 PM
Last modification on : Wednesday, January 6, 2021 - 6:22:02 PM

### Citation

R. Aaij, B. Adeva, M. Adinolfi, C. Adrover, A. Affolder, et al.. Determination of $f_s/f_d$ for 7 TeV pp Collisions and Measurement of the $B^0 \to D^-K^+$ Branching Fraction. Physical Review Letters, American Physical Society, 2011, 107, 211801 (8 p.). ⟨10.1103/PhysRevLett.107.211801⟩. ⟨in2p3-00607036⟩

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