Measurement of the branching fraction of the $B^0\to D_s^{+}{\pi }^{-}$ decay

Abstract

A branching fraction measurement of the $B^0\to D_s^{+}{\pi }^{-}$ decay is presented using proton-proton collision data collected with the LHCb experiment, corresponding to an integrated luminosity of $5.0$fb${}^{-1}$. The branching fraction is found to be $\mathcal{B}(B^0\to D_s^{+}{\pi }^{-})=(19.4\pm 1.8\pm 1.3\pm 1.2)\times 10^{-6}$, where the first uncertainty is statistical, the second systematic and the third is due to the uncertainty on the $B^0\to D^{-}{\pi }^{+}$, $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}$ and $D^{-}\to K^{+}{\pi }^{-}{\pi }^{-}$ branching fractions. This is the most precise single measurement of this quantity to date. As this decay proceeds through a single amplitude involving a $b\to u$ charged-current transition, the result provides information on non-factorisable strong interaction effects and the magnitude of the Cabibbo-Kobayashi-Maskawa matrix element $V_{ub}$. Additionally, the collision energy dependence of the hadronisation-fraction ratio $f_s/f_d$ is measured through $\bar{B}{}_s^0\to D_s^{+}{\pi }^{-}$ and $B^0\to D^{-}{\pi }^{+}$ decays.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2020-021.html (LHCb public pages)

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• Precise measurement of the $f_s/f_d$ ratio of fragmentation fractions and of $B_s^0$ decay branching fractions
• First observation of the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay
• The $b$ quark fragmentation fractions at LHCb and meson decays with heavy quark spectators
• Measurement of inclusive $B\to X_u\ell \nu$ partial branching fractions and $|V_{ub}|$ at Belle II