Applying Optimized Perturbation Theory to QCD at Low Energies

Details Applying Optimized Perturbation Theory to QCD at Low Energies Applying Optimized Perturbation Theory to QCD at Low Energies

1992-12-07

arxiv.org/abs/hep-ph/9212231v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk presented at DPF 92 Meeting, Fermilab, Nov. 1992. 3 pages Latex and dpf92 math macros, uufile encoded ps files (name fig3

Scientific paper

We discuss the use of the optimization procedure based on the Principle of Minimal Sensitivity to the third-order calculation of {\mbox{${R_{e^+e^-}}$}}. 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 $\alpha_s/\pi = 0.26$ at zero energy which is in remarkable concordance with values obtained phenomenologically.

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