Measuring the QCD Gell Mann-Low $\Psi$-function
High Energy Physics - Phenomenology
2009-09-11 v1
Abstract
We present a general method for extracting the Gell Mann-Low logarithmic derivative of an effective charge of an observable directly from data as a mean for empirically verifying the universal terms of the QCD -function. Our method avoids the biases implicit in fitting to QCD-motivated forms as well as the interpolation errors introduced by constructing derivatives from discrete data. We also derive relations between moments of effective charges as new tests of perturbative QCD.
Cite
@article{arxiv.hep-ph/9906382,
title = {Measuring the QCD Gell Mann-Low $\Psi$-function},
author = {S. J. Brodsky and C. Merino and J. R. Pelaez},
journal= {arXiv preprint arXiv:hep-ph/9906382},
year = {2009}
}
Comments
15 pages, 1 figure (uses psfig)