NNNLO soft-gluon corrections for the top-quark $p_T$ and rapidity distributions

TL;DR

This paper calculates approximate NNNLO soft-gluon corrections for top-quark transverse momentum and rapidity distributions in hadronic collisions, improving accuracy and reducing uncertainties in theoretical predictions for LHC and Tevatron energies.

Contribution

It introduces a novel approximate NNNLO calculation for top-quark distributions using soft-gluon resummation, enhancing previous theoretical results.

Findings

aNNNLO corrections increase the distributions' values

Theoretical uncertainties are reduced at aNNNLO

Predictions are provided for LHC and Tevatron energies

Abstract

I present a calculation of next-to-next-to-next-to-leading-order (NNNLO) soft-gluon corrections for differential distributions in top-antitop pair production in hadronic collisions. Approximate NNNLO (aNNNLO) results are obtained from soft-gluon resummation. Theoretical predictions are shown for the top-quark aNNNLO transverse momentum ($p_T$) and rapidity distributions at LHC and Tevatron energies. The aNNNLO corrections enhance previous results for the distributions but have smaller theoretical uncertainties.