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Nuclear parton distribution functions and their uncertainties
High Energy Physics - Phenomenology · Submitted 9 Apr 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Gluon distributions cannot be fixed by the present data and they have large uncertainties in the whole x region.
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The abstract, sentence by sentence
We analyze experimental data of nuclear structure-function ratios F_2^A/F_2^{A'} and Drell-Yan cross section ratios for obtaining optimum parton distribution functions (PDFs) in nuclei. Then, uncertainties of the nuclear PDFs are estimated by the Hessian method. Valence-quark distributions are determined by the F_2 data at large x; however, the small-x part is not obvious from the data. On the other hand, the antiquark distributions are determined well at x~0.01 from the F_2 data and at x~0.1 by the Drell-Yan data; however, the large-x behavior is not clear. Gluon distributions cannot be fixed by the present data and they have large uncertainties in the whole x region. Parametrization results are shown in comparison with the data. We provide a useful code for calculating nuclear PDFs at given x and Q^2.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze experimental data of nuclear structure-function ratios F_2^A/F_2^{A'} and Drell-Yan cross section ratios for obtaining optimum parton distribution functions (PDFs) in nuclei. | contribution 0.75 | 0.94 | 0.09 | asserted 0.96 |
| s1 | Then, uncertainties of the nuclear PDFs are estimated by the Hessian method. | method 0.99 | 0.92 | 0.05 | asserted 1.00 |
| s2 | Valence-quark distributions are determined by the F_2 data at large x; however, the small-x part is not obvious from the data. | result 0.63 | 0.77 | 0.11 | asserted 0.99 |
| s3 | On the other hand, the antiquark distributions are determined well at x~0.01 from the F_2 data and at x~0.1 by the Drell-Yan data; however, the large-x behavior is not clear. | result 0.77 | 0.81 | 0.10 | asserted 1.00 |
| s4 | Gluon distributions cannot be fixed by the present data and they have large uncertainties in the whole x region. | result 0.62 | 0.85 | 0.29 | asserted 1.00 |
| s5 | Parametrization results are shown in comparison with the data. | result 0.50 | 0.83 | 0.04 | asserted 0.98 |
| s6 | We provide a useful code for calculating nuclear PDFs at given x and Q^2. | contribution 0.99 | 0.92 | 0.06 | asserted 1.00 |
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The paper
Original abstract
We analyze experimental data of nuclear structure-function ratios F_2^A/F_2^{A'} and Drell-Yan cross section ratios for obtaining optimum parton distribution functions (PDFs) in nuclei. Then, uncertainties of the nuclear PDFs are estimated by the Hessian method. Valence-quark distributions are determined by the F_2 data at large x; however, the small-x part is not obvious from the data. On the other hand, the antiquark distributions are determined well at x~0.01 from the F_2 data and at x~0.1 by the Drell-Yan data; however, the large-x behavior is not clear. Gluon distributions cannot be fixed by the present data and they have large uncertainties in the whole x region. Parametrization results are shown in comparison with the data. We provide a useful code for calculating nuclear PDFs at given x and Q^2.
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References
How the literature uses it
16 arXiv papers cite this in 20 sentences
Papers citing it · 12 sentences without a confident label
Uses its method or tool 1 paper
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We use several parameterizations of the nuclear modifications in the parton densities to probe the possible range of gluon shadowing effects: EKS98 [ref] , nDSg [ref] , HKN [ref] , EPS08 [ref] and EPS09 [ref] .
Cold Nuclear Matter Effects on J/psi and Upsilon Production at the LHC · Shadowing parameterizations · 0.84
Compares with it 1 paper
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We compare in this subsections results obtained with the nuclear parton distribution functions as determined by NPDF04 [ref] with those that were employed so far in this work, namely EKS98.
Radiative jet energy loss in a three-dimensional hydrodynamical medium and high $p_T$ azimuthal asymmetry of $\pi_0$ suppression at mid and forward rapidity at RHIC · Dependence on Nuclear Parton Distribution Functions · 0.85
Cites it as background 5 papers
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* HKM [ref] and HKN [ref] were the first nPDF global analyses with $χ^2$ minimization automated and also uncertainties estimated.
Global reanalysis of nPDFs · Introduction · 0.92
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The fit was done only by eye. * HKM [ref] & HKN [ref] which are LO QCD analyses as well, were the first ones to exploit the automated $χ^2$-minimization procedure and to estimate nPDF uncertainties. * nDS [ref] brought the global analysis of nPDFs to the next-to-leading order level in pQCD.
A global DGLAP analysis of nuclear PDFs · Introduction · 0.90
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Since the first of the nPDF sets, EKS98 [ref] , the procedure has been improved by performing the analysis at next-to-leading order (NLO) [ref] and by making uncertainty estimates [ref] in analogy with the free proton case.
An improved global analysis of nuclear parton distribution functions including RHIC data · Introduction · 0.82
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