Soft-gluon corrections for $tW$ production at N${}^3$LO

Abstract

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 $bg\to t{W}^{-}$ at LHC and Tevatron energies. The aN${}^3$LO top-quark transverse-momentum and rapidity distributions in $tW$ production are also presented.

Comments: 15 pages, 6 figures; additional material has been included; published version