Accuracy of the interpolation

A look at the following plot of the actual parton distribution and the fitted parton distribution for the gluon using a scale of 100 GeV and the cteq3m data set reveals that the interpolation is indeed very good and can hardly be distinguished from the actual distribution.

Similar graphs for the other distributions are: dbar , ubar , u , s , c , b , t .

If one magnifies a specific region of the above graph, as is done below around x=0.1, one notices that there do exist slight deviations of the fitted distribution from the actual distribution.

Another magnification around x=0.98, this time of the u distribution and in the region where extrapolation rather than interpolation is done, follows:


Davison E. Soper and Parvez Anandam
Institute of Theoretical Science, University of Oregon, Eugene OR 97403 USA
soper@bovine.uoregon.edu
email: anandam@darkwing.uoregon.edu