I present the resummation of collinear and soft gluon corrections to single
top quark production in the t channel at next-to-next-to-leading logarithm
(NNLL) accuracy using two-loop soft anomalous dimensions. The expansion of the
resummed cross section yields approximate next-to-next-to-leading order (NNLO)
cross sections. Numerical results for t-channel single top quark (or single
antitop) production at the Tevatron and the LHC are presented, including the
dependence of the cross sections on the top quark mass, and the uncertainties
from scale variation and parton distributions. Combined results for all single
top quark production channels are also given.Comment: 11 pages, 4 figure
