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

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

Claude Duhr , Bernhard Mistlberger This is my paper · ORCID
classification hep-ph
keywords inclusivebosoncorrectionscouplingdrell-yanfirstflavoursorder
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

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

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

    hep-ph 2025-12 conditional novelty 7.0 of 10

    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%.

  2. MATRIX HAWAII: PineAPPL interpolation grids with MATRIX

    hep-ph 2025-06 accept novelty 6.0 of 10

    Matrix Hawaii provides a public interface between PineAPPL and MATRIX that generates interpolation grids at NNLO QCD + NLO EW accuracy for a range of LHC processes, with sub-permille interpolation errors.

  3. Fast interpolation grids for the Drell-Yan process

    hep-ph 2025-01 accept novelty 6.0 of 10

    Differential NNLO Drell-Yan interpolation grids are released, with closure tests showing sub-per-mille accuracy and a validation that PDF fits are unaffected by the K-factor approximation.

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