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Four-loop collinear anomalous dimensions in QCD and $\mathcal{N} = 4$ super Yang-Mills

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arxiv 2102.09725 v1 pith:2OPC3FCM submitted 2021-02-19 hep-ph hep-th

classification hep-phhep-th
keywords anomalouscollineardimensionsfour-loopmathcalyang-millsanalyticapproximations
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the collinear anomalous dimensions in massless four-loop QCD and $\mathcal{N} = 4$ supersymmetric Yang-Mills theory from the infrared poles of vertex form factors. We give very precise numerical approximations and a conjecture for the complete analytic results in both models we consider.

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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. Infrared singularities and the collinear limits of multi-leg scattering amplitudes

    hep-ph 2025-07 conditional novelty 6.0 of 10

    Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...

  2. Analytic Regression of Feynman Integrals from High-Precision Numerical Sampling

    hep-th 2025-07 conditional novelty 6.0 of 10

    Multi-point lattice reduction on high-precision numerical samples can recover exact analytic expressions for multi-loop Feynman integrals with rational coefficients.

  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. Soft Factorisation and Exponentiation from Schwinger-Space Geometry

    hep-th 2025-06 conditional novelty 6.0 of 10

    Soft-hard factorization and exponentiation of infrared divergences in QED are derived from graph Laplacians and tropical rays in Schwinger parameter space.

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