Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties

Details Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties

2009-12-11

arxiv.org/abs/0912.2276v2

JHEP 1005:075,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 5 figures: published version

Scientific paper

10.1007/JHEP05(2010)075

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.

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