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

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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

Bibliographical note

33 pages, 5 figures: published version

Keywords

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

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