Measuring the QCD Gell Mann-Low $Ψ$-function

Details Measuring the QCD Gell Mann-Low $Ψ$-function Measuring the QCD Gell Mann-Low $Ψ$-function

1999-06-16

arxiv.org/abs/hep-ph/9906382v1

Phys.Rev.D60:114007,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 1 figure (uses psfig)

Scientific paper

10.1103/PhysRevD.60.114007

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 $\beta$-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.

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