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We use asymptotic Pad\'e approximants to predict the four- and five-loop {β} functions in QCD and $N=1$ supersymmetric QCD, as well as the quark mass anomalous dimensions in Abelian and non-Abelian gauge theories. We show how the accuracy of our previous {β}-function predictions at the four-loop level may be further improved by using estimators weighted over negative numbers of flavors (WAPAP's). The accuracy of the improved four-loop results encourages confidence in the new five-loop {β}-function predictions that we present. However, the WAPAP approach does not provide improved results for the anomalous mass dimension, or for Abelian theories.
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Ellis et al. (1998) studied this question.
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