A determination of parton distributions with faithful uncertainty estimation

Richard D. Ball, Luigi Del Debbio, Stefano Forte, Alberto Guffanti, Jose I. Latorre, Andrea Piccione, Juan Rojo, Maria Ubiali

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We present the determination of a set of parton distributions of the nucleon, at next-to-leading order, from a global set of deep-inelastic scattering data: NNPDF1.0. The determination is based on a Monte Carlo approach, with neural networks used as unbiased interpolants. This method, previously discussed by us and applied to a determination of the nonsinglet quark distribution, is designed to provide a faithful and statistically sound representation of the uncertainty on parton distributions. We discuss our dataset, its statistical features, and its Monte Carlo representation. We summarize the technique used to solve the evolution equations and its benchmarking, and the method used to compute physical observables. We discuss the parametrization and fitting of neural networks, and the algorithm used to determine the optimal fit. We finally present our set of parton distributions. We discuss its statistical properties, test for its stability upon various modifications of the fitting procedure, and compare it to other recent parton sets. We use it to compute the benchmark W and Z cross sections at the LHC. We discuss issues of delivery and interfacing to commonly used packages such as LHAPDF.
Original languageEnglish
Pages (from-to)1-63
JournalNucl.Phys.B
Volume809
Issue number1-2
DOIs
Publication statusPublished - 8 Aug 2008

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partons
delivery
inelastic scattering
quarks
acoustics
cross sections

Bibliographical note

73 pages, 16 figures: final version, to be published in Nucl. Phys. B. Two figures added (fig6 and fig.10); discussion on inconsistent data added (sect 5.5); one reference added; numerous typos corrected and a few clarifications added. Missing factor of r_f supplied in eqs. 132,133,137,138,142,143,149,150,153 and 154

Keywords

  • hep-ph

Cite this

Ball, R. D., Debbio, L. D., Forte, S., Guffanti, A., Latorre, J. I., Piccione, A., ... Ubiali, M. (2008). A determination of parton distributions with faithful uncertainty estimation. Nucl.Phys.B, 809(1-2), 1-63. https://doi.org/10.1016/j.nuclphysb.2008.09.037
Ball, Richard D. ; Debbio, Luigi Del ; Forte, Stefano ; Guffanti, Alberto ; Latorre, Jose I. ; Piccione, Andrea ; Rojo, Juan ; Ubiali, Maria. / A determination of parton distributions with faithful uncertainty estimation. In: Nucl.Phys.B. 2008 ; Vol. 809, No. 1-2. pp. 1-63.
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abstract = "We present the determination of a set of parton distributions of the nucleon, at next-to-leading order, from a global set of deep-inelastic scattering data: NNPDF1.0. The determination is based on a Monte Carlo approach, with neural networks used as unbiased interpolants. This method, previously discussed by us and applied to a determination of the nonsinglet quark distribution, is designed to provide a faithful and statistically sound representation of the uncertainty on parton distributions. We discuss our dataset, its statistical features, and its Monte Carlo representation. We summarize the technique used to solve the evolution equations and its benchmarking, and the method used to compute physical observables. We discuss the parametrization and fitting of neural networks, and the algorithm used to determine the optimal fit. We finally present our set of parton distributions. We discuss its statistical properties, test for its stability upon various modifications of the fitting procedure, and compare it to other recent parton sets. We use it to compute the benchmark W and Z cross sections at the LHC. We discuss issues of delivery and interfacing to commonly used packages such as LHAPDF.",
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Ball, RD, Debbio, LD, Forte, S, Guffanti, A, Latorre, JI, Piccione, A, Rojo, J & Ubiali, M 2008, 'A determination of parton distributions with faithful uncertainty estimation' Nucl.Phys.B, vol. 809, no. 1-2, pp. 1-63. https://doi.org/10.1016/j.nuclphysb.2008.09.037

A determination of parton distributions with faithful uncertainty estimation. / Ball, Richard D.; Debbio, Luigi Del; Forte, Stefano; Guffanti, Alberto; Latorre, Jose I.; Piccione, Andrea; Rojo, Juan; Ubiali, Maria.

In: Nucl.Phys.B, Vol. 809, No. 1-2, 08.08.2008, p. 1-63.

Research output: Contribution to JournalArticleAcademicpeer-review

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AU - Ball, Richard D.

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AU - Rojo, Juan

AU - Ubiali, Maria

N1 - 73 pages, 16 figures: final version, to be published in Nucl. Phys. B. Two figures added (fig6 and fig.10); discussion on inconsistent data added (sect 5.5); one reference added; numerous typos corrected and a few clarifications added. Missing factor of r_f supplied in eqs. 132,133,137,138,142,143,149,150,153 and 154

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N2 - We present the determination of a set of parton distributions of the nucleon, at next-to-leading order, from a global set of deep-inelastic scattering data: NNPDF1.0. The determination is based on a Monte Carlo approach, with neural networks used as unbiased interpolants. This method, previously discussed by us and applied to a determination of the nonsinglet quark distribution, is designed to provide a faithful and statistically sound representation of the uncertainty on parton distributions. We discuss our dataset, its statistical features, and its Monte Carlo representation. We summarize the technique used to solve the evolution equations and its benchmarking, and the method used to compute physical observables. We discuss the parametrization and fitting of neural networks, and the algorithm used to determine the optimal fit. We finally present our set of parton distributions. We discuss its statistical properties, test for its stability upon various modifications of the fitting procedure, and compare it to other recent parton sets. We use it to compute the benchmark W and Z cross sections at the LHC. We discuss issues of delivery and interfacing to commonly used packages such as LHAPDF.

AB - We present the determination of a set of parton distributions of the nucleon, at next-to-leading order, from a global set of deep-inelastic scattering data: NNPDF1.0. The determination is based on a Monte Carlo approach, with neural networks used as unbiased interpolants. This method, previously discussed by us and applied to a determination of the nonsinglet quark distribution, is designed to provide a faithful and statistically sound representation of the uncertainty on parton distributions. We discuss our dataset, its statistical features, and its Monte Carlo representation. We summarize the technique used to solve the evolution equations and its benchmarking, and the method used to compute physical observables. We discuss the parametrization and fitting of neural networks, and the algorithm used to determine the optimal fit. We finally present our set of parton distributions. We discuss its statistical properties, test for its stability upon various modifications of the fitting procedure, and compare it to other recent parton sets. We use it to compute the benchmark W and Z cross sections at the LHC. We discuss issues of delivery and interfacing to commonly used packages such as LHAPDF.

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JF - Nucl.Phys.B

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Ball RD, Debbio LD, Forte S, Guffanti A, Latorre JI, Piccione A et al. A determination of parton distributions with faithful uncertainty estimation. Nucl.Phys.B. 2008 Aug 8;809(1-2):1-63. https://doi.org/10.1016/j.nuclphysb.2008.09.037