Soft anomalous dimensions for single-top production at three loops

Abstract

I present results for soft anomalous dimensions in single top-quark production processes through three loops. I first discuss the cusp anomalous dimension with one massive and one massless line at three loops. I then calculate the three-loop soft anomalous dimension for $tW$ production and for related processes with new physics such as $tZ$, $t\gamma$, and $t{H}^{-}$ production. This is followed by results at two and three loops for the soft anomalous dimension matrix in $s$-channel single-top production and, finally, in $t$-channel single-top production. These new results are needed for soft-gluon resummation at N${}^3$LL accuracy and for calculations of soft-gluon corrections at N${}^3$LO.

11 pages, 3 figures; v2 has some additions and changes

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Cited by in corpus (3)

• Momentum-space threshold resummation in $tW$ production at the LHC
• Soft anomalous dimensions and resummation in QCD
• Four-loop massive cusp anomalous dimension in QCD: a calculation from asymptotics