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Measuring the QCD Gell Mann-Low Psi-Function

Technical Report ·
DOI:https://doi.org/10.2172/9986· OSTI ID:9986
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.
Research Organization:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Organization:
USDOE Office of Energy Research (ER) (US)
DOE Contract Number:
AC03-76SF00515
OSTI ID:
9986
Report Number(s):
SLAC-PUB-8033
Country of Publication:
United States
Language:
English

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