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Higher-Order Corrections in Threshold Resummation

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arxiv hep-ph/0506288 v2 pith:A3W4JWUB submitted 2005-06-28 hep-ph

S. Moch (DESY , Zeuthen) , J.A.M. Vermaseren (NIKHEF , Amsterdam) , A. Vogt (Durham Univ. , IPPP) This is my paper · ORCID
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keywords alphaordercorrectionsfunctionsorderspreviousresultsresummation
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We extend the threshold resummation exponents G^N in Mellin-N space to the fourth logarithmic (N^3LL) order collecting the terms alpha_s^2 (alpha_s ln N)^n to all orders in the strong coupling constant as. Comparing the results to our previous three-loop calculations for deep-inelastic scattering (DIS), we derive the universal coefficients B_q and B_g governing the final-state jet functions to order alpha_s^3, extending the previous quark and gluon results by one and two orders. A curious relation is found at second order between these quantities, the splitting functions and the large-angle soft emissions in Drell-Yan type processes. We study the numerical effect of the N^3LL corrections using both the fully exponentiated form and the expansion of the coefficient function in towers of logarithms.

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Cited by 4 Pith papers

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

  1. Threshold resummation of Semi-Inclusive Deep-Inelastic Scattering

    hep-ph 2026-01 unverdicted novelty 6.0 of 10

    Derives resummed coefficient functions for SIDIS in double-soft and single-soft threshold limits, with explicit NNLL coefficients extracted in the nonsinglet channel by matching to fixed-order results.

  2. Threshold resummation of rapidity distributions at fixed partonic rapidity

    hep-ph 2026-01 accept novelty 6.0 of 10

    A general all-order expression for threshold resummation of rapidity distributions at fixed partonic rapidity is derived for colorless final states, with NNLL coefficients determined from NNLO Drell-Yan results and sh...

  3. 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.

  4. 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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