  We use a recent approach to soft-gluon resummation based on effective field
theory to implement soft-gluon resummation at NNNLL order for slepton-pair
production in SUSY extensions of the Standard Model. This approach resums large
logarithmic corrections arising from the dynamical enhancement of the partonic
threshold region caused by steeply falling parton luminosities. We evaluate the
resummed invariant-mass distribution and total cross section for slepton-pair
production at the Tevatron and LHC, matching our results onto NLO fixed-order
calculations. As a byproduct, we also study virtual SUSY effects in the context
of soft-gluon resummation for the Drell-Yan process.
