Two-loop soft anomalous dimensions for single top quark associated production with a ${W}^{\ensuremath{-}}$ or ${H}^{\ensuremath{-}}$

Two-loop soft anomalous dimensions for single top quark associated production with a $W^{-}$ or $H^{-}$

Nikolaos Kidonakis

Phys. Rev. D 82, 054018 – Published 16 September 2010

Abstract

I present results for the two-loop soft anomalous dimensions for associated production of a single top quark with a $W$ boson or a charged Higgs boson. The calculation uses expressions for the massive cusp anomalous dimension, which are presented in different forms, and it allows soft-gluon resummation at next-to-next-to-leading-logarithm (NNLL) accuracy. From the NNLL resummed cross section I derive approximate NNLO cross sections for $b g \to t W^{-}$ and $b g \to t H^{-}$ at LHC energies of 7, 10, and 14 TeV.