Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties

The NNPDF Collaboration, Richard D. Ball, Luigi Del Debbio, Stefano Forte, Alberto Guffanti, Jose I. Latorre, Juan Rojo, Maria Ubiali

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We consider the generic problem of performing a global fit to many independent data sets each with a different overall multiplicative normalization uncertainty. We show that the methods in common use to treat multiplicative uncertainties lead to systematic biases. We develop a method which is unbiased, based on a self--consistent iterative procedure. We demonstrate the use of this method by applying it to the determination of parton distribution functions with the NNPDF methodology, which uses a Monte Carlo method for uncertainty estimation.
Original languageEnglish
JournalJournal of High Energy Physics
Volume75
DOIs
Publication statusPublished - 11 Dec 2009

Fingerprint

partons
Monte Carlo method
distribution functions
methodology

Bibliographical note

33 pages, 5 figures: published version

Keywords

  • hep-ph
  • hep-ex
  • physics.data-an

Cite this

Collaboration, T. NNPDF., Ball, R. D., Debbio, L. D., Forte, S., Guffanti, A., Latorre, J. I., ... Ubiali, M. (2009). Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties. Journal of High Energy Physics, 75. https://doi.org/10.1007/JHEP05(2010)075
Collaboration, The NNPDF ; Ball, Richard D. ; Debbio, Luigi Del ; Forte, Stefano ; Guffanti, Alberto ; Latorre, Jose I. ; Rojo, Juan ; Ubiali, Maria. / Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties. In: Journal of High Energy Physics. 2009 ; Vol. 75.
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Collaboration, TNNPDF, Ball, RD, Debbio, LD, Forte, S, Guffanti, A, Latorre, JI, Rojo, J & Ubiali, M 2009, 'Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties' Journal of High Energy Physics, vol. 75. https://doi.org/10.1007/JHEP05(2010)075

Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties. / Collaboration, The NNPDF; Ball, Richard D.; Debbio, Luigi Del; Forte, Stefano; Guffanti, Alberto; Latorre, Jose I.; Rojo, Juan; Ubiali, Maria.

In: Journal of High Energy Physics, Vol. 75, 11.12.2009.

Research output: Contribution to JournalArticleAcademicpeer-review

TY - JOUR

T1 - Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties

AU - Collaboration, The NNPDF

AU - Ball, Richard D.

AU - Debbio, Luigi Del

AU - Forte, Stefano

AU - Guffanti, Alberto

AU - Latorre, Jose I.

AU - Rojo, Juan

AU - Ubiali, Maria

N1 - 33 pages, 5 figures: published version

PY - 2009/12/11

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N2 - We consider the generic problem of performing a global fit to many independent data sets each with a different overall multiplicative normalization uncertainty. We show that the methods in common use to treat multiplicative uncertainties lead to systematic biases. We develop a method which is unbiased, based on a self--consistent iterative procedure. We demonstrate the use of this method by applying it to the determination of parton distribution functions with the NNPDF methodology, which uses a Monte Carlo method for uncertainty estimation.

AB - We consider the generic problem of performing a global fit to many independent data sets each with a different overall multiplicative normalization uncertainty. We show that the methods in common use to treat multiplicative uncertainties lead to systematic biases. We develop a method which is unbiased, based on a self--consistent iterative procedure. We demonstrate the use of this method by applying it to the determination of parton distribution functions with the NNPDF methodology, which uses a Monte Carlo method for uncertainty estimation.

KW - hep-ph

KW - hep-ex

KW - physics.data-an

U2 - 10.1007/JHEP05(2010)075

DO - 10.1007/JHEP05(2010)075

M3 - Article

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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Collaboration TNNPDF, Ball RD, Debbio LD, Forte S, Guffanti A, Latorre JI et al. Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties. Journal of High Energy Physics. 2009 Dec 11;75. https://doi.org/10.1007/JHEP05(2010)075