Lepton-pair production at hadron colliders at N$^3$LO in QCD

TL;DR

This paper presents the first complete N$^3$LO QCD calculations for the inclusive neutral-current Drell-Yan process, including photon and Z-boson contributions, with implications for precise LHC predictions.

Contribution

It provides the first full N$^3$LO QCD corrections to the Drell-Yan process, including axial-vector contributions and non-decoupling top-quark effects.

Findings

First N$^3$LO QCD corrections for Drell-Yan process.

Predictions for LHC at this perturbative order.

Inclusion of top-quark mass effects at three loops.

Abstract

We compute for the first time the complete corrections at N$^3$LO in the strong coupling constant to the inclusive neutral-current Drell-Yan process including contributions from both photon and $Z$-boson exchange. Our main result is the computation of the QCD corrections to the inclusive production cross section of an axial-vector boson to third order in the strong coupling in a variant of QCD with five massless quark flavours. Since the axial anomaly does not cancel for an odd number of flavours, we also consistently include non-decoupling effects in the top-quark mass through three loops. We perform a phenomenological study of our results, and we present for the first time predictions for the inclusive Drell-Yan process at the LHC at this order in QCD perturbation theory.