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.Comment: LaTeX, 11 pages, 6 EPS figure