Soft-gluon corrections for tW production at N3LO

I present approximate results that include third-order soft-gluon corrections for the associated production of a single top quark with a W boson. The calculation uses expressions from soft-gluon resummation at next-to-next-to-leading-logarithm (NNLL) accuracy. From the NNLL resummed cross section, I derive approximate next-to-next-to-next-to-leading-order (aN(3)LO) cross sections for the process bg -> tW(-) at LHC and Tevatron energies. The aN(3)LO top-quark transverse-momentum and rapidity distributions in tW production are also presented.