Pith. sign in

REVIEW 6 cited by

Four-loop splitting functions in QCD -- The gluon-gluon case --

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 2410.08089 v1 pith:4QMHX3VL submitted 2024-10-10 hep-ph

G. Falcioni (Zurich U.) , F. Herzog (U. Edinburgh , Higgs Ctr. Theor. Phys.) , S. Moch (Hamburg U. , Inst. Theor. Phys. II) , A. Pelloni (Zurich , ETH) , A. Vogt (Liverpool U.
show 1 more author
Dept. Math.)
This is my paper · ORCID
classification hep-ph
keywords functionsmomentssplittingfour-loopfunctiongluon-gluonobtainedresults
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We have computed the even-N moments N =< 20 of the gluon-gluon splitting function P_{gg} at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. Our results, derived analytically for a general compact simple gauge group, agree with all results obtained for this function so far, in particular with the lowest five moments obtained via structure functions in deep-inelastic scattering. Using our new moments and all available endpoint constraints, we construct improved approximations for the four-loop P_{gg}(x) that should be sufficient for a wide range of collider-physics applications. The N^3LO contributions to the scale derivative of the gluon distribution, resulting from these and the corresponding quark-to-gluon splitting functions, amount to 1% or less at x >~ 10^{-4} at a standard reference scale with alpha_s = 0.2.

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. 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. A Determination of the Top Mass from a Global PDF Analysis

    hep-ph 2026-03 unverdicted novelty 6.0 of 10

    The top-quark pole mass is determined to be 172.80 ± 0.26 GeV from a global NNPDF analysis at approximate N³LO QCD including NLO QED, EW, and toponium corrections.

  3. A Determination of ${\alpha}_s(m_Z)$ at ${\bf aN^3LO_{QCD}}\otimes {\bf {NLO}_{QED}}$ Accuracy from a Global PDF Analysis

    hep-ph 2025-06 conditional novelty 6.0 of 10

    From a global QCD-QED parton fit with NNPDF4.0 methodology, the authors determine alpha_s(m_Z)=0.1194^{+0.0007}_{-0.0014}, consistent with the PDG average and recent lattice results.

  4. Anomalous dimensions at small spins

    hep-th 2025-06 accept novelty 6.0 of 10

    The quadratic mass-correction combination of twist-two anomalous dimensions stays finite at small spin in the O(N) phi^4, phi^3, and Gross-Neveu-Yukawa models at the computed loop orders, enabling explicit resummations.

  5. Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Candia-v2 implements (approximate) N3LO x-space DGLAP evolution — exact four-loop non-singlet splitting functions, envelope-approximated singlet inputs, three-loop heavy-quark matching — as a public C++ package with G...

  6. Alien operators for PDF evolution

    hep-ph 2025-09 unverdicted novelty 2.0 of 10

    This proceedings paper summarizes earlier results on all-spin couplings and Feynman rules for gauge-variant alien operators needed for four-loop QCD splitting functions.

Pith tools