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Threshold resummation at N$^3$LL accuracy and soft-virtual cross sections at N$^3$LO

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arxiv 1405.4827 v2 pith:OWPL2CQZ submitted 2014-05-19 hep-ph

S. Catani , L. Cieri , D. de Florian , G. Ferrera , M. Grazzini This is my paper · ORCID
classification hep-ph
keywords correctionsproductionsoft-virtualaccuracycoefficientcolourlessexpressionhard-virtual
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. We show that the recent computation of the soft-virtual corrections to Higgs boson production at N$^3$LO [1] together with the universality structure of soft-gluon emission can be exploited to extract the general expression of the hard-virtual coefficient that contributes to threshold resummation at N$^3$LL accuracy. The hard-virtual coefficient is directly related to the process-dependent virtual amplitude through a universal (process-independent) factorization formula that we explicitly evaluate up to three-loop order. As an application, we present the explicit expression of the soft-virtual N$^3$LO corrections for the production of an arbitrary colourless system. In the case of the Drell-Yan process, we confirm the recent result of Ref.[2].

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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. Soft and virtual corrections to semi-inclusive DIS up to four loops in QCD

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A threshold-resummation formalism for SIDIS yields new approximate N3LO and N4LO soft, virtual, and next-to-soft coefficient functions for the diagonal quark channel.

  3. Associated $ZH$ production in gluon fusion process at NLO+NLL

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    NLO+NLL QCD corrections to gluon-fusion ZH production increase the cross-section by ~20% and reduce scale uncertainties from 20% to 12% at LHC energies, combined with Drell-Yan N3LL results.

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