  We study W-boson production with large transverse momentum, Q_T, in pp
collisions at the LHC. We calculate the complete NLO corrections and the
soft-gluon NNLO corrections to the differential cross section. The NLO
corrections are large but they do not reduce the scale dependence relative to
LO, while the NNLO soft-gluon corrections, although small, significantly reduce
the scale dependence and thus provide a more stable result.
