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Parton distribution functions at LO, NLO and NNLO with correlated uncertainties between orders

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arxiv 1404.4234 v2 pith:CTY7FJMY submitted 2014-04-16 hep-ph

classification hep-ph
keywords setsdistributionfunctionsnnlopartonuncertaintiescorrelationsleading
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Sets of parton distribution functions (PDFs) of the proton are reported for the leading (LO), next-to-leading (NLO) and next-to-next-to leading order (NNLO) QCD calculations. The parton distribution functions are determined with the HERAFitter program using the data from the HERA experiments and preserving correlations between uncertainties for the LO, NLO and NNLO PDF sets. The sets are used to study cross-section ratios and their uncertainties when calculated at different orders in QCD. A reduction of the overall theoretical uncertainty is observed if correlations between the PDF sets are taken into account for the ratio of $WW$ di-boson to $Z$ boson production cross sections at the LHC.

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