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arXiv · 2111.10379

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

Claude Duhr·Bernhard Mistlberger
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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.

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Claude Duhr, Bernhard Mistlberger. 2021-11-19. Lepton-pair production at hadron colliders at N$^3$LO in QCD. https://doi.org/10.1007/jhep03(2022)116

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