Determination of the ratio of $b$-quark fragmentation fractions $f_s/f_d$ in $pp$ collisions at $\sqrt{s}=7$ TeV with the ATLAS detector

Abstract

With an integrated luminosity of 2.47 fb${}^{-1}$ recorded by the ATLAS experiment at the LHC, the exclusive decays $B_s^0\to J/\psi \varphi$ and $B_d^0\to J/\psi K^{\ast 0}$ of $B$ mesons produced in $pp$ collisions at $\sqrt{s}=7$ TeV are used to determine the ratio of fragmentation fractions $f_s/f_d$. From the observed $B_s^0\to J/\psi \varphi$ and $B_d^0\to J/\psi K^{\ast 0}$ yields, the quantity $\frac{f_s}{f_d}\frac{\mathcal{B}(B_s^0\to J/\psi \varphi )}{\mathcal{B}(B_d^0\to J/\psi K^{\ast 0})}$ is measured to be 0.199 $\pm$ 0.004(stat) $\pm$ 0.008(sys). Using a recent theory prediction for $\frac{\mathcal{B}(B_s^0\to J/\psi \varphi )}{\mathcal{B}(B_d^0\to J/\psi K^{\ast 0})}$ yields $\frac{f_s}{f_d}=$ 0.240 $\pm$ 0.004(stat) $\pm$ 0.010(sys) $\pm$ 0.017(th). This result is based on a new approach that provides a significant improvement of the world average.

8 pages plus author list + cover pages (25 pages total), 2 figures, 1 table, submitted to Physical Review Letters, All figures including auxiliary figures are available at https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/PAPERS/BPHY-2014-02/

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