  We discuss the production of W bosons at large transverse momentum in p pbar
collisions at the Tevatron Run I and II. W boson hadroproduction is a process
of relevance in testing the Standard Model and in estimates of backgrounds to
new physics. The next-to-leading order cross section in the region of large
transverse momentum is dominated by threshold soft-gluon corrections which
arise from incomplete cancellations near partonic threshold between graphs with
real emission and virtual graphs due to the limited phase space available for
real gluon emission. In this contribution it is shown how, by including
next-to-next-to-leading-order (NNLO) soft-gluon corrections, the transverse
momentum distribution of the W at the Tevatron is modestly enhanced and the
dependence on the factorization and renormalization scales is significantly
reduced.
