N$^3$LO calculations for top-quark differential cross sections near partonic threshold

TL;DR

This paper presents approximate N$^3$LO calculations for top-quark production cross sections and distributions, demonstrating that soft-gluon corrections near partonic threshold dominate and closely match exact results, with implications for various production channels.

Contribution

The paper introduces approximate N$^3$LO results for top-quark production, highlighting the dominance of soft-gluon corrections and providing updated predictions across multiple channels.

Findings

Soft-gluon corrections dominate top-quark production near threshold.

Approximate N$^3$LO results closely match exact calculations.

Updated predictions for top-quark distributions and asymmetries.

Abstract

I present calculations of approximate corrections from NNLL soft-gluon resummation for total and differential cross sections in top-antitop pair production and single-top production in hadronic collisions. I show that soft-gluon corrections from partonic threshold are the dominant contribution to top-quark production and closely approximate exact results. I present aN$^3$LO results for the total $t{\bar t}$ cross section, the top-quark $p_T$ and rapidity distributions, and the top-quark forward-backward asymmetry. I also provide updates for single-top production in the $t$, $s$, and $tW$ channels. Finally, I discuss top-quark production via anomalous gluon couplings.