Parton distributions: determining probabilities in a space of functions

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We discuss the statistical properties of parton distributions within the framework of the NNPDF methodology. We present various tests of statistical consistency, in particular that the distribution of results does not depend on the underlying parametrization and that it behaves according to Bayes�...

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Autores principales: Ball, Richard D., Bertone, Valerio, Cerutti, Francesco, Del Debbio, Luigi, Forte, Stefano, Guffanti, Alberto, Latorre, Jose I., Rojo, Juan, Ubiali, Maria
Lenguaje:eng
Publicado: 2011
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.5170/CERN-2011-006.121
http://cds.cern.ch/record/1389193
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author Ball, Richard D.
Bertone, Valerio
Cerutti, Francesco
Del Debbio, Luigi
Forte, Stefano
Guffanti, Alberto
Latorre, Jose I.
Rojo, Juan
Ubiali, Maria
author_facet Ball, Richard D.
Bertone, Valerio
Cerutti, Francesco
Del Debbio, Luigi
Forte, Stefano
Guffanti, Alberto
Latorre, Jose I.
Rojo, Juan
Ubiali, Maria
author_sort Ball, Richard D.
collection CERN
description We discuss the statistical properties of parton distributions within the framework of the NNPDF methodology. We present various tests of statistical consistency, in particular that the distribution of results does not depend on the underlying parametrization and that it behaves according to Bayes' theorem upon the addition of new data. We then study the dependence of results on consistent or inconsistent datasets and present tools to assess the consistency of new data. Finally we estimate the relative size of the PDF uncertainty due to data uncertainties, and that due to the need to infer a functional form from a finite set of data.
id cern-1389193
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
record_format invenio
spelling cern-13891932023-03-14T20:52:41Zdoi:10.5170/CERN-2011-006.121http://cds.cern.ch/record/1389193engBall, Richard D.Bertone, ValerioCerutti, FrancescoDel Debbio, LuigiForte, StefanoGuffanti, AlbertoLatorre, Jose I.Rojo, JuanUbiali, MariaParton distributions: determining probabilities in a space of functionsParticle Physics - PhenomenologyWe discuss the statistical properties of parton distributions within the framework of the NNPDF methodology. We present various tests of statistical consistency, in particular that the distribution of results does not depend on the underlying parametrization and that it behaves according to Bayes' theorem upon the addition of new data. We then study the dependence of results on consistent or inconsistent datasets and present tools to assess the consistency of new data. Finally we estimate the relative size of the PDF uncertainty due to data uncertainties, and that due to the need to infer a functional form from a finite set of data.We discuss the statistical properties of parton distributions within the framework of the NNPDF methodology. We present various tests of statistical consistency, in particular that the distribution of results does not depend on the underlying parametrization and that it behaves according to Bayes' theorem upon the addition of new data. We then study the dependence of results on consistent or inconsistent datasets and present tools to assess the consistency of new data. Finally we estimate the relative size of the PDF uncertainty due to data uncertainties, and that due to the need to infer a functional form from a finite set of data.arXiv:1110.1863IFUM-988-FTTTK-11-48IFUM-988-FTTTK-11-48oai:cds.cern.ch:13891932011-10-11
spellingShingle Particle Physics - Phenomenology
Ball, Richard D.
Bertone, Valerio
Cerutti, Francesco
Del Debbio, Luigi
Forte, Stefano
Guffanti, Alberto
Latorre, Jose I.
Rojo, Juan
Ubiali, Maria
Parton distributions: determining probabilities in a space of functions
title Parton distributions: determining probabilities in a space of functions
title_full Parton distributions: determining probabilities in a space of functions
title_fullStr Parton distributions: determining probabilities in a space of functions
title_full_unstemmed Parton distributions: determining probabilities in a space of functions
title_short Parton distributions: determining probabilities in a space of functions
title_sort parton distributions: determining probabilities in a space of functions
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.5170/CERN-2011-006.121
http://cds.cern.ch/record/1389193
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AT rojojuan partondistributionsdeterminingprobabilitiesinaspaceoffunctions
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