  Resummation of large infrared logarithms in perturbation theory can, in
certain circumstances, enhance the sensitivity to small gluon momenta and
introduce spurious nonperturbative contributions. In particular, different
procedures -- equivalent in perturbation theory -- to organize this resummation
can differ by $1/Q$ power corrections. The question arises whether one can
formulate resummation procedures that are explicitly consistent with the
infrared behaviour of finite-order Feynman diagrams. We explain how this
problem can be treated and resolved in Drell-Yan (lepton pair) production and
briefly discuss more complicated cases, such as top quark production and event
shape variables in the $e^+e^-$ annihilation.
