Precise measurement of the fs/fd ratio of fragmentation fractions and of Bs0 decay branching fractions

The ratio of the B$^{0}_{s}$ and B0 fragmentation fractions, fs/fd, in proton-proton collisions at the LHC, is obtained as a function of B-meson transverse momentum and collision center-of-mass energy from the combined analysis of different B-decay channels measured by the LHCb experiment. The results are described by a linear function of the meson transverse momentum or with a function inspired by Tsallis statistics. Precise measurements of the branching fractions of the B$^{0}|_{s}$ → J/ψφ and B$^{0}_{s}$ → D$^{-}_{s}$π+ decays are performed, reducing their uncertainty by about a factor of 2 with respect to previous world averages. Numerous B$^{0}_{s}$ decay branching fractions, measured at the LHCb experiment, are also updated using the new values of fs/fd and branching fractions of normalization channels. These results reduce a major source of systematic uncertainty in several searches for new physics performed through measurements of B$^{0}|_{s}$ branching fractions.