$τ$ Decay and the QCD infrared fixed point

Details $τ$ Decay and the QCD infrared fixed point $τ$ Decay and the QCD infrared fixed point

1994-02-04

arxiv.org/abs/hep-ph/9402230v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 uuencoded figures, also available on request in postscript

Scientific paper

We apply the optimization procedure based on the Principle of Minimal Sensitivity to the third-order calculation of $R_{\tau}$. Since the effective couplant remains finite, freezing to a value $\alpha_s/\pi = 0.26$ at low energies, we can actually evaluate the defining integral of $R_{\tau}$ and compare the optimized perturbation theory result to that of the optimized result obtained after the integral has been evaluated using contour techniques. The good agreement shows that the optimization procedure is consistent and suggests that the infrared fixed point is meaningful.

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