Asymptotic Pade Approximant Predictions: Up to Five Loops in QCD and SQCD

Technical Report · Fri May 16 00:00:00 EDT 2003

DOI:https://doi.org/10.2172/813121· OSTI ID:813121

Samuel, Mark A

We use Asymptotic Pade Approximants (APAP's) to predict the four- and five-loop {beta} 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 {beta}-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 {beta}-function predictions that we present. However, the WAPAP approach does not provide improved results for the anomalous mass dimension, or for Abelian theories.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 813121
• Report Number(s): SLAC-PUB-9833; TRN: US0303693
• Resource Relation: Other Information: PBD: 16 May 2003
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCURACY
ANOMALOUS DIMENSION
QUANTUM CHROMODYNAMICS
QUARKS