Higher-order corrections for $t{\bar t}$ production at high energies

TL;DR

This paper provides advanced theoretical calculations of top-antitop quark pair production cross sections at high energies, emphasizing the importance of soft-gluon corrections and the reduction of uncertainties at higher perturbative orders.

Contribution

It introduces a next-to-next-to-next-to-leading order (aN^3LO) calculation for $t\bar{t}$ production, highlighting the dominance of soft-gluon corrections at current and future collider energies.

Findings

Soft-gluon corrections dominate the perturbative expansion.

K-factors are large and increase slowly with energy.

Scale uncertainties decrease significantly at higher orders.

Abstract

I present theoretical calculations of $t{\bar t}$ production cross sections through aN$^3$LO in proton-proton collisions. I show that soft-gluon corrections dominate the perturbative expansion not only for LHC energies but also for future collider energies through 100 TeV. Detailed results are presented for various collision energies. The $K$-factors are large and increase slowly with increasing energy. The scale uncertainties decrease greatly as we move to higher perturbative orders.