Pade-Improved Extraction of αs(Mτ) from Rτ
T. G. Steele, V. Elias
Abstract
The perturbative series used to extract αs(Mτ) from the τ hadronic width exhibits slow convergence. Asymptotic Pade-approximant and Pade summation techniques provide an estimate of these unknown higher-order effects, leading to values for αs(Mτ) that are about 10% smaller than current estimates. Such a reduction improves the agreement of αs(Mτ) with the QCD evolution of the strong coupling constant from αs(Mz).
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