Pith. sign in

REVIEW 5 cited by

The Four Loop QCD Rapidity Anomalous Dimension

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 2205.02249 v2 pith:EX7W47DX submitted 2022-05-04 hep-ph hep-thnucl-th

Ian Moult , Hua Xing Zhu , Yu Jiao Zhu This is my paper · ORCID
classification hep-phhep-thnucl-th
keywords anomalousdimensionrapidityfourfunctionlooprelationsoft
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by anomalous terms proportional to the $\beta$-function. In this paper we first give a simple proof of this relation using two different representations of the energy-energy correlator observable. We then calculate the anomalous terms to three loops by computing the three-loop fully differential soft function to $\mathcal{O}(\epsilon)$. Combined with recent perturbative data from the study of on-shell form factors and splitting functions, this allows us to derive the four loop rapidity anomalous dimension in QCD.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

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

  1. First constraints on the nonperturbative gluon Collins-Soper kernel

    hep-lat 2026-07 conditional novelty 7.0 of 10

    First lattice-QCD constraints on the nonperturbative gluon Collins-Soper kernel are obtained at near-physical pion mass with uNNLL LaMET matching on a single a=0.15 fm ensemble.

  2. High precision heavy-boson-jet substructure with energy correlators

    hep-ph 2026-01 conditional novelty 7.0 of 10

    The EEC peak in boosted Z jets is the Sudakov back-to-back region of the Z-pole EEC seen through a Lorentz boost, determined by one Lorentz-invariant shape function and computable at N3LL'.

  3. Multivariable Painleve'-II equation: connection formulas for asymptotic solutions

    math-ph 2026-03 unverdicted novelty 6.0 of 10

    Asymptotically exact WKB connection formulas for a multivariable Painlevé-II system are obtained via the Demkov–Osherov model and used to scale excitations in vacuum decay.

  4. Exploring nuclear modification using one-point energy correlator at the electron-ion collider

    hep-ph 2025-12 conditional novelty 6.0 of 10

    OPEC in e+A collisions factorizes in TMD QCD and predicts ~0.3–0.4 nuclear suppression at small angles, growing with angle, as a probe of cold-nuclear-matter broadening.

  5. Assessing the sensitivity of Energy-Energy Correlations in $e^+e^-$ annihilation to TMD dynamics

    hep-ph 2025-07 conditional novelty 6.0 of 10

    At N4LL accuracy, a global fit to all available e+e- energy-energy correlation data shows the data are insensitive to the Collins-Soper kernel and alpha_s, contradicting a recent extraction claim.

Pith tools