  We study the differential cross sections for electroweak gauge-boson and
Higgs production at small and very small transverse-momentum q_T. Large
logarithms are resummed using soft-collinear effective theory. The collinear
anomaly generates a non-perturbative scale q_*, which protects the processes
from receiving large long-distance hadronic contributions. A numerical
comparison of our predictions with data on the transverse-momentum distribution
in Z-boson production at the Tevatron and LHC is given.
