Parametrization of the QCD coupling in the Evolution Equations
High Energy Physics - Phenomenology
2010-05-12 v1
Abstract
We examine the parametrization of the QCD coupling in the Evolution Equations, including DGLAP. Our conclusion is that the well-known parametrization, where the argument of the coupling is k^2_{\perp}/\beta or just k^2_{\perp}, stands only if the lowest integration limit in the transverse momentum space (the starting point mu^2 of the Q^2 -evolution) obeys the relation mu >> Lambda_{QCD} \exp {(\pi/2)}, otherwise the coupling should be replaced by the more complicated expression presented in Eq. (37).
Keywords
Cite
@article{arxiv.0805.2278,
title = {Parametrization of the QCD coupling in the Evolution Equations},
author = {B. I. Ermolaev and S. I. Troyan},
journal= {arXiv preprint arXiv:0805.2278},
year = {2010}
}
Comments
8 pages, 4 figures