Soft anomalous dimensions for single-top production at three loops

Understand

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 $tH^-$ 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.