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Lepton-pair production at hadron colliders at N³LO in QCD

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arxiv 2111.10379 v1 pith:LFMONMYH submitted 2021-11-19 hep-ph

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

classification hep-ph
keywords inclusivebosoncorrectionscouplingdrell-yanfirstflavoursorder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Boosted Higgs-strahlung off a $W$ boson at next-to-next-to-next-to-leading order in QCD

    hep-ph 2026-06 unverdicted novelty 9.0

    First N³LO QCD prediction for boosted WH production yields +2% corrections with sub-percent residual scale dependence.

  2. Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes

    hep-ph 2025-12 conditional novelty 7.0

    The full NNLO electroweak corrections with closed fermion loops to e+e- → ffbar (and Drell-Yan) were calculated semi-numerically and found to modify NLO cross-sections by about 1%.

  3. Towards the two-loop electroweak corrections to the Drell-Yan process: the complete fermionic contributions

    hep-ph 2026-05 unverdicted novelty 6.0

    The authors present the finite two-loop fermionic virtual corrections to the Drell-Yan cross section after renormalization and infrared subtraction using an automated methodology.

  4. Three loop QCD corrections to electroweak radiative parameters

    hep-ph 2026-04 unverdicted novelty 4.0

    Three-loop QCD corrections to electroweak radiative parameters Δρ, Δr, and Δκ are computed, yielding an updated W boson mass prediction relevant for FCC precision targets.