High Energy Physics - Phenomenology · arXiv:hep-ph/0410187 v1 · submitted 13 Oct 2004
A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
The paper says
“Within the framework of quenched lattice QCD and using O(a) improved Wilson fermions and non-perturbative renormalisation, a high statistics computation of low moments of the unpolarised nucleon structure functions is given.”
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Abstract
Within the framework of quenched lattice QCD and using O(a) improved Wilson fermions and non-perturbative renormalisation, a high statistics computation of low moments of the unpolarised nucleon structure functions is given. Particular attention is paid to the chiral and continuum extrapolations.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
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This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| Within the framework of quenched lattice QCD and using O(a) improved Wilson fermions and non-perturbative renormalisation, a high statistics computation of low moments of the unpolarised nucleon structure functions is given. | contribution 0.90 | 0.95 | 0.36 | asserted 1.00 |
| Particular attention is paid to the chiral and continuum extrapolations. | method 0.77 | 0.74 | 0.05 | asserted 0.78 |
What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,291 input tokens, $0.0001 reported.
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Cited by 15 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- The structure of the pion at large $N_c$ hep-lat · Nov 2026
- Extracting Parton Distribution Functions from Lattice QCD Calculations hep-ph · Apr 2014
- Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD hep-lat · Jun 2017
- Nucleon Helicity and Transversity Parton Distributions from Lattice QCD hep-ph · Mar 2016
- Restoration of Rotational Symmetry in the Continuum Limit of Lattice Field Theories hep-lat · Apr 2012
- New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC hep-ph · Dec 2019
- Parton distributions and lattice QCD calculations: a community white paper hep-ph · Nov 2017
- Practical quasi parton distribution functions hep-lat · Sep 2016
- A Lattice Study of the Glue in the Nucleon hep-lat · May 2012
- Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks hep-lat · Feb 2011
- Perturbative and Nonperturbative Renormalization in Lattice QCD hep-lat · Mar 2010
- The infrared behavior of lattice QCD Green's functions hep-lat · Sep 2006
- Moments of pseudoscalar meson distribution amplitudes from the lattice hep-lat · Jun 2006
- Determining the strange quark mass for 2-flavour QCD hep-lat · Feb 2006
- A Determination of the Lambda Parameter from Full Lattice QCD hep-ph · Feb 2005
How the literature uses it
16 arXiv papers cite this in 24 sentences
Papers citing it · 12 sentences without a confident label
Builds on it 1 paper
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Later on, these studies have been extended to improved Wilson fermions, based on quenched simulations at three values of the lattice spacing [ref] .
Perturbative and Nonperturbative Renormalization in Lattice QCD · Introduction · 0.83
Uses its method or tool 1 paper
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The operators (or interpolators) used to determine the hadron masses are uniformly taken to be Jacobi smeared ( [ref] and [ref] (Appendix C)) and to be non-relativistic, NR, ( [ref] , [ref] and [ref] (Appendix C)).
Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks · Hadron `sources' and `sinks' · 0.98
Uses its data or values 2 papers
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For the unpolarized, polarized, and transversity moment, the lattice calculations are taken from Refs. [ref] , [ref] , and [ref] , respectively.
Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD · Results · 0.98
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To estimate $Z_q$ we use the results for $⟨x ⟩_g^$ from Table [ref] together with those for $⟨x ⟩_u^$, $⟨x ⟩_d^$ from [ref] (i.e. $v_2b$) together with eqs.
A Lattice Study of the Glue in the Nucleon · Renormalisation · 0.99
Compares with it 1 paper
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In this figure we see excellent agreement between the older quenched [ref] and $N_f=2+1$ DWF runs and the $N_f=2$ clover results, with the possible exception of the lightest clover mass.
Investigations of hadron structure on the lattice · Nucleon Momentum Fraction, $⟨x⟩$ · 0.98
Cites it as background 5 papers
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A few more details on the mixing issue can be found in Ref. [ref] , in particular in Appendix B.
Perturbative and Nonperturbative Renormalization in Lattice QCD · The operators · 0.85
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In Euclidean lattice simulations, using the operator product expansion the lowest moments of the meson and nucleon structure functions have been evaluated [ref] .
A New Approach to the Gluon Structure Function · Introduction · 0.99
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Early lattice studies of PDFs used the operator product expansion (OPE) to calculate their moments, which are matrix elements of local gauge-invariant operators [ref] .
Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD · Introduction · 0.93
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