Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-01-03
Phys.Rev.D65:014013,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages, Latex. Reference added. Normalization of Hessian matrix changed to HEP standard
Scientific paper
10.1103/PhysRevD.65.014013
We develop a general method to quantify the uncertainties of parton distribution functions and their physical predictions, with emphasis on incorporating all relevant experimental constraints. The method uses the Hessian formalism to study an effective chi-squared function that quantifies the fit between theory and experiment. Key ingredients are a recently developed iterative procedure to calculate the Hessian matrix in the difficult global analysis environment, and the use of parameters defined as components along appropriately normalized eigenvectors. The result is a set of 2d Eigenvector Basis parton distributions (where d=16 is the number of parton parameters) from which the uncertainty on any physical quantity due to the uncertainty in parton distributions can be calculated. We illustrate the method by applying it to calculate uncertainties of gluon and quark distribution functions, W boson rapidity distributions, and the correlation between W and Z production cross sections.
Brock Raymond
Casey D.
Huston Joey
Kalk Joshua
Lai Hung-Liang
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