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High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order

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arxiv hep-ph/9405388 v1 pith:I4G4SLVU submitted 1994-05-26 hep-ph

S. Catani , F. Hautmann This is my paper · ORCID
classification hep-ph
keywords factorizationorderbeyonddeephigh-energyinelasticleadingscattering
verification ladder T0 review T1 audit T2 compute T3 formal
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High-energy factorization in QCD is investigated beyond leading order and its relationship to the factorization theorem of mass singularities is established to any collinear accuracy. Flavour non-singlet observables are shown to be regular at small x order by order in perturbation theory. In the singlet sector, we derive the relevant master equations for the space-like evolution of gluons and quarks. Their solution enables us to sum next-to-leading corrections to the small-x behaviour of quark anomalous dimensions and deep inelastic scattering coefficient functions. We present results in both MSbar and DIS factorization schemes.

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Forward citations

Cited by 7 Pith papers

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

  1. New results on small-x resummation for splitting functions

    hep-ph 2026-03 conditional novelty 8.0 of 10

    A closed-form all-order expression for the qg anomalous dimension, plus new all-order results for the LL gluon anomalous dimension and the finite qg/gg Green functions, derived and implemented in HELL 4.0.

  2. Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities

    hep-ph 2025-05 conditional novelty 7.0 of 10

    First analytic leading-order calculation of the full-angle energy-energy correlator in hadron collisions, with celestial block decomposition and Regge-limit factorization.

  3. Implementation of DIS at N$^3$LO for PDF determination

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    N³LO DIS implementation in VFNS with improved massive neutral-current coefficient approximation for PDF fits.

  4. New evidence for the rapidity evolution in Mueller-Navelet dijet production: BFKL, Sudakov, and RG-invariance

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A new matching of NLO BFKL resummation with high-energy factorization and Sudakov effects describes Mueller-Navelet dijet data and attributes the large-rapidity decorrelation to BFKL dynamics.

  5. PDF evolution in alternative factorisation schemes

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.

  6. Scheme-invariant stratified factorization algebras for inclusive deep inelastic scattering

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    Proposes a scheme-invariant stratified factorization algebra framework that derives the DIS convolution formula independently of collinear scheme or operator basis choices.

  7. DGLAP-BFKL duality from QCD to quantum computers

    quant-ph 2025-09 reject novelty 2.0 of 10

    The author re-derives a toy-model DGLAP solution as a Bessel function and asserts, without proof, that the BFKL equation can be solved the same way.

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