Correlation and combination of sets of parton distributions

Abstract We study the correlation between different sets of parton distributions (PDFs). Specifically, viewing different PDF sets as distinct determinations, generally correlated, of the same underlying physical quantity, we examine the extent to which the correlation between them is due to the unde...

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Autores principales: Richard D. Ball, Stefano Forte, Roy Stegeman
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Lenguaje:EN
Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/447743d2e2614e9cb103778b077ac897
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spelling oai:doaj.org-article:447743d2e2614e9cb103778b077ac8972021-12-05T12:09:01ZCorrelation and combination of sets of parton distributions10.1140/epjc/s10052-021-09863-61434-60441434-6052https://doaj.org/article/447743d2e2614e9cb103778b077ac8972021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09863-6https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract We study the correlation between different sets of parton distributions (PDFs). Specifically, viewing different PDF sets as distinct determinations, generally correlated, of the same underlying physical quantity, we examine the extent to which the correlation between them is due to the underlying data. We do this both for pairs of PDF sets determined using a given fixed methodology, and between sets determined using different methodologies. We show that correlations have a sizable component that is not due to the underlying data, because the data do not determine the PDFs uniquely. We show that the data-driven correlations can be used to assess the efficiency of methodologies used for PDF determination. We also show that the use of data-driven correlations for the combination of different PDFs into a joint set can lead to inconsistent results, and thus that the statistical combination used in constructing the widely used PDF4LHC15 PDF set remains the most reliable method.Richard D. BallStefano ForteRoy StegemanSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-18 (2021)
institution DOAJ
collection DOAJ
language EN
topic Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Richard D. Ball
Stefano Forte
Roy Stegeman
Correlation and combination of sets of parton distributions
description Abstract We study the correlation between different sets of parton distributions (PDFs). Specifically, viewing different PDF sets as distinct determinations, generally correlated, of the same underlying physical quantity, we examine the extent to which the correlation between them is due to the underlying data. We do this both for pairs of PDF sets determined using a given fixed methodology, and between sets determined using different methodologies. We show that correlations have a sizable component that is not due to the underlying data, because the data do not determine the PDFs uniquely. We show that the data-driven correlations can be used to assess the efficiency of methodologies used for PDF determination. We also show that the use of data-driven correlations for the combination of different PDFs into a joint set can lead to inconsistent results, and thus that the statistical combination used in constructing the widely used PDF4LHC15 PDF set remains the most reliable method.
format article
author Richard D. Ball
Stefano Forte
Roy Stegeman
author_facet Richard D. Ball
Stefano Forte
Roy Stegeman
author_sort Richard D. Ball
title Correlation and combination of sets of parton distributions
title_short Correlation and combination of sets of parton distributions
title_full Correlation and combination of sets of parton distributions
title_fullStr Correlation and combination of sets of parton distributions
title_full_unstemmed Correlation and combination of sets of parton distributions
title_sort correlation and combination of sets of parton distributions
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/447743d2e2614e9cb103778b077ac897
work_keys_str_mv AT richarddball correlationandcombinationofsetsofpartondistributions
AT stefanoforte correlationandcombinationofsetsofpartondistributions
AT roystegeman correlationandcombinationofsetsofpartondistributions
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