Parametrization of the QCD coupling in the Evolution Equations

preprint2008arXivOpen access

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}/βor 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 {(π/2)}, otherwise the coupling should be replaced by the more complicated expression presented in Eq. (37).

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