We study the production of W bosons at large transverse momentum in p pbar
collisions. We show that the next-to-leading order cross section at large
transverse momentum is dominated by threshold soft-gluon corrections. We add
next-to-next-to-leading-order soft-gluon corrections to the exact
next-to-leading-order differential cross sections. We find that these
higher-order corrections provide modest enhancements to the transverse momentum
distribution of the W at the Tevatron, and reduce significantly the dependence
on the factorization and renormalization scales.Comment: 17 pages, 8 figure