Measurement of the branching fraction of the ^B0→Ds+^π- decay

A branching fraction measurement of the B0→Ds+π- decay is presented using proton–proton collision data collected with the LHCb experiment, corresponding to an integrated luminosity of 5.0fb-1. The branching fraction is found to be B(B0→Ds+π-)=(19.4±1.8 ± 1.3 ± 1.2) × 10 ^{- 6}, where the first uncertainty is statistical, the second systematic and the third is due to the uncertainty on the B→ D^-π⁺, Ds+→K+K-π+ and D^-→ K⁺π^-π^- 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→ 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 B¯s0→Ds+π- and B→ D^-π⁺ decays.