Uncertainties of Parton Distribution Functions and Their Implications on Physical Predictions

Details Uncertainties of Parton Distribution Functions and Their Implications on Physical Predictions Uncertainties of Parton Distribution Functions and Their Implications on Physical Predictions

2000-06-14

arxiv.org/abs/hep-ph/0006148v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Contribution to Proceedings of Fermilab Workshop on QCD and Weak Boson Physics at the Tevatron: Run II and Beyond, Fermilab, 1

Scientific paper

We describe preliminary results from an effort to quantify the uncertainties in parton distribution functions and the resulting uncertainties in predicted physical quantities. The production cross section of the $W$ boson is given as a first example. Constraints due to the full data sets of the CTEQ global analysis are used in this study. Two complementary approaches, based on the Hessian and the Lagrange multiplier method respectively, are outlined. We discuss issues on obtaining meaningful uncertainty estimates that include the effect of correlated experimental systematic uncertainties and illustrate them with detailed calculations using one set of precision DIS data.

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