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NRQCD Factorization and Universality of NRQCD Matrix Elements

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J.P. Ma, Z.G. Si

High Energy Physics - Phenomenology · Submitted 8 Jun 2005

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

The authors' main claim Therefore the universality holds at least at one-loop level.

how it is stated · hedged possibility 0.52 read the record →

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arXiv IDhep-ph/0506078 (version 3)
Pith IDYJ4J7U6B, Pith's permanent record of this paper and its review
CitationJ.P. Ma, Z.G. Si. "NRQCD Factorization and Universality of NRQCD Matrix Elements." arXiv:hep-ph/0506078 (2005). https://pith.science/paper/YJ4J7U6B
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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, 6,863 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.67 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.92 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

The approach of nonrelativistic QCD(NRQCD) factorization was proposed to study inclusive production of a quarkonium. It is widely used and successful. However, a recent study of gluon fragmentation into a quarkonium at two-loop level shows that the factorization is broken. It is suggested that the color-octet NRQCD matrix elements should be modified by adding a gauge link to restore the factorization. The modified matrix elements may have extra soft-divergences at one-loop level which the unmodified can not have, and this can lead to a violation of the universality of these matrix elements. In this letter, we examine in detail the NRQCD factorization for inclusive quarkonium production in $e^+ e^-$ annihilation at one-loop level. Our results show that the factorization can be made without the modification of NRQCD matrix elements and it can also be made for relativistic corrections. It turns out that the suggested gauge link will not lead to nonzero contributions to color-octet NRQCD matrix elements at one-loop level and at any order of $v$. Therefore the universality holds at least at one-loop level.

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 The approach of nonrelativistic QCD(NRQCD) factorization was proposed to study inclusive production of a quarkonium. background 1.00 0.04 0.02 asserted 1.00
s1 It is widely used and successful. background 1.00 0.04 0.01 asserted 1.00
s2 However, a recent study of gluon fragmentation into a quarkonium at two-loop level shows that the factorization is broken. background 0.85 0.06 0.03 asserted 1.00
s3 It is suggested that the color-octet NRQCD matrix elements should be modified by adding a gauge link to restore the factorization. background 0.98 0.05 0.05 hedged possibility 0.97
s4 The modified matrix elements may have extra soft-divergences at one-loop level which the unmodified can not have, and this can lead to a violation of the universality of these matrix elements. background 0.81 0.12 0.04 hedged possibility 1.00
s5 In this letter, we examine in detail the NRQCD factorization for inclusive quarkonium production in $e^+ e^-$ annihilation at one-loop level. contribution 0.97 0.85 0.04 asserted 0.86
s6 Our results show that the factorization can be made without the modification of NRQCD matrix elements and it can also be made for relativistic corrections. result 1.00 0.95 0.72 asserted 1.00
s7 It turns out that the suggested gauge link will not lead to nonzero contributions to color-octet NRQCD matrix elements at one-loop level and at any order of $v$. result 0.99 0.89 0.30 asserted 1.00
s8 Therefore the universality holds at least at one-loop level. interpretation 0.58 0.86 0.59 hedged possibility 0.52

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.96.

What was examined, and what was not

sources read
  • arXiv listing abstract v3
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

The approach of nonrelativistic QCD(NRQCD) factorization was proposed to study inclusive production of a quarkonium. It is widely used and successful. However, a recent study of gluon fragmentation into a quarkonium at two-loop level shows that the factorization is broken. It is suggested that the color-octet NRQCD matrix elements should be modified by adding a gauge link to restore the factorization. The modified matrix elements may have extra soft-divergences at one-loop level which the unmodified can not have, and this can lead to a violation of the universality of these matrix elements. In this letter, we examine in detail the NRQCD factorization for inclusive quarkonium production in $e^+ e^-$ annihilation at one-loop level. Our results show that the factorization can be made without the modification of NRQCD matrix elements and it can also be made for relativistic corrections. It turns out that the suggested gauge link will not lead to nonzero contributions to color-octet NRQCD matrix elements at one-loop level and at any order of $v$. Therefore the universality holds at least at one-loop level.

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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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