Applying Optimized Perturbation Theory to QCD at Low Energies

A. C. Mattingly; P. M. Stevenson

Applying Optimized Perturbation Theory to QCD at Low Energies

High Energy Physics - Phenomenology 2007-05-23 v1

Authors: A. C. Mattingly , P. M. Stevenson

Abstract

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.

Keywords

optimized perturbation theory QCD Principle of Minimal Sensitivity R_e+e- effective coupling constant

Cite

@article{arxiv.hep-ph/9212231,
  title  = {Applying Optimized Perturbation Theory to QCD at Low Energies},
  author = {A. C. Mattingly and P. M. Stevenson},
  journal= {arXiv preprint arXiv:hep-ph/9212231},
  year   = {2007}
}

Comments

Talk presented at DPF 92 Meeting, Fermilab, Nov. 1992. 3 pages Latex and dpf92 math macros, uufile encoded ps files (name fig3.psf). DE-FG05-92ER40717-1

Applying Optimized Perturbation Theory to QCD at Low Energies

Abstract

Keywords

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