  We consider the cross section for one-particle inclusive production at high
transverse momentum in hadronic collisions. We present the all-order
resummation formula that controls the logarithmically-enhanced perturbative QCD
contributions to the partonic cross section in the threshold region, at fixed
rapidity of the observed parton (hadron). The explicit resummation up to
next-to-leading logarithmic accuracy is supplemented with the computation of
the general structure of the near-threshold contributions to the
next-to-leading order cross section. This next-to-leading order computation
allows us to extract the one-loop hard-virtual amplitude that enters into the
resummation formula. This is a necessary ingredient to explicitly extend the
soft-gluon resummation beyond the next-to-leading logarithmic accuracy. These
results equally apply to both spin-unpolarized and spin-polarized scattering
processes.
