Applying Optimized Perturbation Theory to QCD at Low Energies

Abstract

We discuss the use of the optimization procedure based on the Principle of Minimal Sensitivity to the third-order calculation of Re+e-. The effective coupling constant remains finite allowing us to apply the Poggio-Quinn-Weinberg smearing method down to energies below 1 GeV, where we find good agreement between theory and experiment. The couplant freezes to a value of αs/π = 0.26 at zero energy which is in remarkable concordance with values obtained phenomenologically.

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