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

TL;DR

This paper derives approximate third-order soft-gluon corrections for $tW$ production, enhancing theoretical predictions of cross sections and distributions at LHC and Tevatron energies using NNLL resummation techniques.

Contribution

It introduces the first approximate N$^3$LO calculations for $tW$ production based on NNLL resummation, improving precision of theoretical predictions.

Findings

Approximate N$^3$LO cross sections for $tW$ production at LHC and Tevatron.

Top-quark transverse-momentum and rapidity distributions at aN$^3$LO.

Enhanced theoretical accuracy for $tW$ production processes.

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