  We study the resummation of large logarithmic perturbative corrections to the
partonic cross sections relevant for the process pp->h X at high transverse
momentum of the hadron h. These corrections arise near the threshold for the
partonic reaction and are associated with soft-gluon emission. We perform the
resummation to next-to-leading logarithmic accuracy. We present numerical
results for the fixed-target regime and find enhancements over the
next-to-leading order cross section, which significantly improve the agreement
between theoretical predictions and data. We also apply the resummation for
RHIC kinematics and find that subleading terms appear to play a rather
important role here.
