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

Abstract

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.

Title page revised with deep regret following the untimely death of our friend and collaborator Mark Samuel; 25 pages, harvmac (b), including 3 figures; requires epsf.tex and tables.tex

References in corpus (8)

• The four-loop beta-function in Quantum Chromodynamics
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• Quark Mass Anomalous Dimension to alpha_s**4
• Power Corrections to Event Shape Distributions
• Pade Approximants, Optimal Renormalization Scales, and Momentum Flow in Feynman Diagrams
• Why Padé Approximants reduce the Renormalization-Scale dependence in QFT?
• Asymptotic Padé Approximants and the SQCD $\beta$-function
• $\beta$-functions in large-$N_f$ supersymmetric gauge theories

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• Renormalization-Scale Invariance, Minimal Sensitivity, and the Inclusive Hadronic Decays of a 115 GeV Higgs Particle
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• Renormalization-group improved Higgs to two gluons decay rate
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