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Improved Approximations for the Three-Loop Splitting Functions in QCD

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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W.L. van Neerven, A. Vogt (Leiden University)

High Energy Physics - Phenomenology · Submitted 31 Jul 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The inclusion of these constraints reduces the uncertainties of our approximations considerably and extends their region of applicability by about one order of magnitude to lower momentum fractions x .

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-ph/0007362 (version 1)
Pith ID7NZNKKST, Pith's permanent record of this paper and its review
CitationA. Vogt (Leiden University), W.L. van Neerven. "Improved Approximations for the Three-Loop Splitting Functions in QCD." arXiv:hep-ph/0007362 (2000). https://pith.science/paper/7NZNKKST
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,937 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.30 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.77 · compares with prior results 0.72 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We update our approximate parametrizations of the three-loop splitting functions for the evolution of unpolarized parton densities in perturbative QCD. The new information taken into account is given by the additional Mellin moments recently calculated by Retey and Vermaseren. The inclusion of these constraints reduces the uncertainties of our approximations considerably and extends their region of applicability by about one order of magnitude to lower momentum fractions x .

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We update our approximate parametrizations of the three-loop splitting functions for the evolution of unpolarized parton densities in perturbative QCD. contribution 1.00 0.92 0.14 asserted 0.98
s1 The new information taken into account is given by the additional Mellin moments recently calculated by Retey and Vermaseren. method 0.89 0.08 0.05 asserted 1.00
s2 The inclusion of these constraints reduces the uncertainties of our approximations considerably and extends their region of applicability by about one order of magnitude to lower momentum fractions x . result 0.95 0.88 0.77 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.78 · evidence from literature 0.43.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We update our approximate parametrizations of the three-loop splitting functions for the evolution of unpolarized parton densities in perturbative QCD. The new information taken into account is given by the additional Mellin moments recently calculated by Retey and Vermaseren. The inclusion of these constraints reduces the uncertainties of our approximations considerably and extends their region of applicability by about one order of magnitude to lower momentum fractions x .

Human review

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References
How the literature uses it

7 arXiv papers cite this in 8 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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