Pith. sign in

REVIEW 6 cited by

The three-loop cusp anomalous dimension in QCD

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1409.0023 v1 pith:HXBLQ5W7 submitted 2014-08-29 hep-ph hep-th

Andrey Grozin , Johannes M. Henn , Gregory P. Korchemsky , Peter Marquard This is my paper · ORCID
classification hep-phhep-th
keywords anomalouscuspdimensionquantityresulttermsthree-loopanalytic
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We present the full analytic result for the three-loop angle-dependent cusp anomalous dimension in QCD. With this result, infrared divergences of planar scattering processes with massive particles can be predicted to that order. Moreover, we define a closely related quantity in terms of an effective coupling defined by the light-like cusp anomalous dimension. We find evidence that this quantity is universal for any gauge theory, and use this observation to predict the non-planar $n_{f}$-dependent terms of the four-loop cusp anomalous dimension.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 6 Pith papers

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

  1. The two-loop fully differential soft function for $Q\bar{Q}V$ production at lepton colliders

    hep-ph 2024-11 accept novelty 8.0 of 10

    The two-loop soft function fully differential in the total momentum of real radiation in QQV production is computed analytically in terms of Goncharov polylogarithms.

  2. Relating amplitude and PDF factorisation through Wilson-line geometries

    hep-ph 2019-09 conditional novelty 8.0 of 10

    The difference between form-factor and large-x PDF single-pole anomalous dimensions equals one quarter of the lightlike parallelogram Wilson-loop anomalous dimension, verified at two loops.

  3. Strongly Coupled Soft Functions

    hep-ph 2026-08 conditional novelty 7.0 of 10

    The cusp anomalous dimension at strong coupling is obtained for all rapidity separations from two competing string saddles, and the transversely-separated two-cusp Wilson loop scales as (b_perp^2 Lambda^2)^{-Re Gamma_cusp}.

  4. Global Convergence of the Return Dynamics in the Class $\mathcal{O}_C$

    math.DS 2026-03 unverdicted novelty 6.0 of 10

    Return dynamics on class O_C domains with fixed convex core converge globally like adaptive gradient descent of the thickness function, with fixed points equal to thickness critical points.

  5. 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...

  6. Three-loop soft anomalous dimensions for top-quark production

    hep-ph 2019-08 conditional novelty 2.0 of 10

    Most three-loop formulas quoted here were already published by the same author; the top-pair three-loop results are explicitly incomplete.

Pith tools