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The Nucleon Anapole Form Factor in Chiral Perturbation Theory to Sub-leading Order

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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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C. M. Maekawa, J. S. Veiga, U. van Kolck (Kellogg Radiation Laboratory of California Institute of Technology)

High Energy Physics - Phenomenology · Submitted 15 Jun 2000

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

The authors' main claim If these parameters are assumed to have natural size, the sub-leading corrections do not exceed ~ 30% at momentum Q ~ 300 MeV.

how it is stated · hedged possibility 0.74 read the record →

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arXiv IDhep-ph/0006181 (version 2)
Pith IDPOVMPBLX, Pith's permanent record of this paper and its review
CitationC. M. Maekawa, J. S. Veiga, U. van Kolck (Kellogg Radiation Laboratory of California Institute of Technology). "The Nucleon Anapole Form Factor in Chiral Perturbation Theory to Sub-leading Order." arXiv:hep-ph/0006181 (2000). https://pith.science/paper/POVMPBLX
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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, 3,600 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.80 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.95 · compares with prior results 0.11 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

The anapole form factor of the nucleon is calculated in chiral perturbation theory to sub-leading order. This is the lowest order in which the isovector anapole form factor does not vanish. The anapole moment depends on counterterms that reflect short-range dynamics, but the momentum dependence or the form factor is determined by pion loops in terms of parameters that could in principle be fixed from other processes. If these parameters are assumed to have natural size, the sub-leading corrections do not exceed ~ 30% at momentum Q ~ 300 MeV.

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 anapole form factor of the nucleon is calculated in chiral perturbation theory to sub-leading order. contribution 1.00 0.93 0.22 asserted 1.00
s1 This is the lowest order in which the isovector anapole form factor does not vanish. interpretation 0.42 0.45 0.15 asserted 1.00
s2 The anapole moment depends on counterterms that reflect short-range dynamics, but the momentum dependence or the form factor is determined by pion loops in terms of parameters that could in principle be fixed from other processes. interpretation 0.53 0.62 0.21 asserted 0.59
s3 If these parameters are assumed to have natural size, the sub-leading corrections do not exceed ~ 30% at momentum Q ~ 300 MeV. result 0.74 0.69 0.27 hedged possibility 0.74

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.92.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
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 anapole form factor of the nucleon is calculated in chiral perturbation theory to sub-leading order. This is the lowest order in which the isovector anapole form factor does not vanish. The anapole moment depends on counterterms that reflect short-range dynamics, but the momentum dependence or the form factor is determined by pion loops in terms of parameters that could in principle be fixed from other processes. If these parameters are assumed to have natural size, the sub-leading corrections do not exceed ~ 30% at momentum Q ~ 300 MeV.

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How the literature uses it

1 arXiv paper cite this in 3 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 citing it · 2 sentences without a confident label

Uses its data or values 1 paper
  • The isovector anapole moment receives its first nonzero contribution at this order [ref] , a_1^NLO = e M^2 6 (4 πF)^2 [ 2 h_A^2 + g_A(h_V^0+43 h_V^2)] [ln ( μ^2 m_π^2 ) + 1 ϵ + 1 -γ-2 3 + ln 4 π] + ã_1 , where the second bracket contains the usual dimensional regularization terms.

    The Theory of Parity Violation in Few-Nucleon Systems · Anapole Form Factor · 0.84

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