Optimization of R(e+e-) and "Freezing" of the QCD Couplant at Low Energies

Details Optimization of R(e+e-) and "Freezing" of the QCD Couplant at Low Energies Optimization of R(e+e-) and "Freezing" of the QCD Couplant at Low Energies

1993-07-13

arxiv.org/abs/hep-ph/9307266v1

Phys.Rev. D49 (1994) 437-450

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, LaTeX, 8 uuencoded figures, DE-FG05-92ER40717-7

Scientific paper

10.1103/PhysRevD.49.437

The new result for the third-order QCD corrections to R_{e^+e^-}, unlike the old, incorrect result, is nicely compatible with the principle-of-minimal-sensitivity optimization method. Moreover, it leads to infrared fixed-point behaviour: the optimized couplant, alpha_s/pi, for R(e+e-) does not diverge at low energies, but "freezes" to a value 0.26 below about 300 MeV. This provides some direct theoretical evidence, purely from perturbation theory, for the "freezing" of the couplant -- an idea that has long been a popular and successful phenomenological hypothesis. We use the "smearing" method of Poggio, Quinn, and Weinberg to compare the resulting theoretical prediction for R(e+e-) with experimental data down to the lowest energies, and find excellent agreement.

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