Bottomonium production at the Tevatron and the LHC

Inclusive bottomonium hadroproduction at the Tevatron is firstly examined in a Monte Carlo framework with the colour-octet mechanism implemented in the event generation. We extract some NRQCD colour-octet matrix elements relevant for ϒ(1S) hadroproduction. Remarkably we find a quite small contribution (compatible with zero) from feeddown of χbJ states produced through the colour-octet mechanism: ϒ(1S) indirect production via χbJ decays should be mainly ascribed to the colour-singlet model. Finally we extrapolate to LHC energies to predict prompt ϒ(1S) production rates.