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Generalizing the DGLAP Evolution of Fragmentation Functions to the Smallest x Values

High Energy Physics - Phenomenology · Submitted 17 Mar 2005

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

The authors' main claim We find that data from the largest x values to the peak region can be better fitted than with other approaches.

how it is stated · asserted 0.99 read the record →

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arXiv IDhep-ph/0503170 (version 1)
Pith IDDNZVUK7O, Pith's permanent record of this paper and its review
CitationB. A. Kniehl, G. Kramer, S. Albino, W. Ochs. "Generalizing the DGLAP Evolution of Fragmentation Functions to the Smallest x Values." arXiv:hep-ph/0503170 (2005). https://pith.science/paper/DNZVUK7O
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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,957 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.12 · human participants 0.02 · controlled comparison 0.21 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

An approach which unifies the Double Logarithmic Approximation at small x and the leading order DGLAP evolution of fragmentation functions at large x is presented. This approach reproduces exactly the Modified Leading Logarithm Approximation, but is more complete due to the degrees of freedom given to the quark sector and the inclusion of the fixed order terms. We find that data from the largest x values to the peak region can be better fitted than with other approaches.

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 An approach which unifies the Double Logarithmic Approximation at small x and the leading order DGLAP evolution of fragmentation functions at large x is presented. contribution 0.97 0.89 0.29 asserted 1.00
s1 This approach reproduces exactly the Modified Leading Logarithm Approximation, but is more complete due to the degrees of freedom given to the quark sector and the inclusion of the fixed order terms. result 0.43 0.66 0.19 asserted 1.00
s2 We find that data from the largest x values to the peak region can be better fitted than with other approaches. result 1.00 0.94 0.41 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.55 · evidence from analysis of existing data 0.50.

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

An approach which unifies the Double Logarithmic Approximation at small x and the leading order DGLAP evolution of fragmentation functions at large x is presented. This approach reproduces exactly the Modified Leading Logarithm Approximation, but is more complete due to the degrees of freedom given to the quark sector and the inclusion of the fixed order terms. We find that data from the largest x values to the peak region can be better fitted than with other approaches.

Human review
References
How the literature uses it

3 arXiv papers cite this in 5 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

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

Papers citing it · 4 sentences without a confident label

Uses its method or tool 1 paper
  • An alternative approach [ref] which is appropriate for numerical work is to use eq.

    The hadronization of partons · The double logarithmic approximation · 0.98

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