Inclusive $B$-meson production in $e^{+}{e}^{-}$ and $p\overline{p}$ collisions

We provide nonperturbative fragmentation functions for $B$ mesons, both at leading and next-to-leading order in the $\overline{\mathrm{MS}}$ factorization scheme with five massless quark flavors. They are determined by fitting the fractional energy distribution of $B$ mesons inclusively produced in $e^{+}{e}^{-}$ annihilation at CERN LEP1. Theoretical predictions for the inclusive production of $B$ mesons with high transverse momenta in $p\overline{p}$ scattering obtained with these fragmentation functions nicely agree, both in shape and normalization, with data recently taken at the Fermilab Tevatron.