Asymptotic Pade Approximant Predictions [electronic resource] : Up to Five Loops in QCD and SQCD

Published: Washington, D.C. : United States. Dept. of Energy, 2003.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description: 27 pages : digital, PDF file
Additional Creators: Stanford Linear Accelerator Center, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information

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Summary

We use Asymptotic Pade Approximants (APAP's) to predict the four- and five-loop β functions in QCD and N = 1 supersymmetric QCD (SQCD), 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 flavours (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.

Report Numbers

E 1.99:slac-pub-9833
slac-pub-9833

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Note

Published through SciTech Connect.
05/16/2003.
"slac-pub-9833"
Samuel, Mark A.

Type of Report and Period Covered Note

Topical;

Funding Information

AC03-76SF00515

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