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Next-to-leading power threshold corrections for finite order and resummed colour-singlet cross sections

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arxiv 2101.07270 v1 pith:A5J6LDB5 submitted 2021-01-18 hep-ph

classification hep-ph
keywords crossresummedsectionsthresholdanalyticalcolour-singletcorrectionsnnll
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study next-to-leading-power (NLP) threshold corrections in colour-singlet production processes, with particular emphasis on Drell-Yan (DY) and single-Higgs production. We assess the quality of the partonic and hadronic threshold expansions for each process up to NNLO. We determine numerically the NLP leading-logarithmic (LL) resummed contribution in addition to the leading-power next-to-next-to-leading logarithmic (LP NNLL) resummed DY and Higgs cross sections, matched to NNLO. We find that the inclusion of NLP logarithms is numerically more relevant than increasing the precision to N$^3$LL at LP for these processes. We also perform an analytical and numerical comparison of LP NNLL + NLP LL resummation in soft-collinear effective theory and direct QCD, where we achieve excellent analytical and numerical agreement once the NLP LL terms are included in both formalisms. Our results underline the phenomenological importance of understanding the NLP structure of QCD cross sections.

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Cited by 2 Pith papers

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

  1. Power corrections to the heavy electron form factor

    hep-ph 2025-04 conditional novelty 7.0 of 10

    The next-to-leading-power correction to the heavy electron form factor in QED factorizes as derivative and field-strength matrix elements, yielding an all-orders soft photon theorem.

  2. Universality at next-to-leading power for jet associated processes

    hep-ph 2025-05 reject novelty 6.0 of 10

    The paper proposes a universal relation between the leading logarithmic coefficient and the mass-factorization pole for jet-associated production of any massive colourless particle.

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