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Effect of changes of variable flavor number scheme on parton distribution functions and predicted cross sections

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arxiv 1201.6180 v2 pith:E7K2G6BY submitted 2012-01-30 hep-ph

R. S. Thorne This is my paper · ORCID
classification hep-ph
keywords partonflavourfunctionsgm-vfnsnumberpdfsschemevariation
verification ladder T0 review T1 audit T2 compute T3 formal
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I consider variations in the definitions, at next-to-leading order (NLO) and at next-to-next-to leading order (NNLO), of a General-Mass Variable Flavour Number Scheme (GM-VFNS) for heavy flavour structure functions. I also define a new "optimal" scheme choice improving the smoothness of the transition from one flavour number to the next. I investigate the variation of the structure function for a fixed set of parton distribution functions (PDFs) and also the change in the PDFs when a new MSTW2008-type global fit to data is performed for each GM-VFNS. At NLO the parton distributions, and predictions using them at hadron colliders, can vary by 2-3% from the mean value. At NNLO there is far more stability with varying GM-VFNS definition, and changes in PDFs and predictions are less than 1%, with most variation at very small x values. Hence, mass-scheme variation is an additional and significant source of uncertainty when considering parton distributions, but as with all perturbative uncertainties, it diminishes quickly as higher orders are included.

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Cited by 4 Pith papers

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