  We present a new prescription for the resummation of contributions due to
soft gluon emission to the trasverse momentum distribution of processes such as
Drell-Yan production in hadronic collisions. We show that familiar difficulties
in obtaining resummed results as a function of transverse momentum starting
from impact-parameter space resummation are related to the divergence of the
perturbative expansion of the momentum-space result. We construct a resummed
expression by Borel resummation of this divergent series, removing the
divergence in the Borel inversion through the inclusion of a suitable higher
twist term. The ensuing resummation prescription is free of numerical
instabilities, is stable upon the inclusion of subleading terms, and the
original divergent perturbative series is asymptotic to it. We compare our
results to those obtained using alternative prescriptions, and discuss the
ambiguities related to the resummation procedure.
