Pade-Improved Extraction of $α_s(M_τ)$ from $R_τ$

Details Pade-Improved Extraction of $α_s(M_τ)$ from $R_τ$ Pade-Improved Extraction of $α_s(M_τ)$ from $R_τ$

1999-02-01

arxiv.org/abs/hep-ph/9902217v1

Mod.Phys.Lett.A13:3151-3159,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

latex2e, 9 pages, 2 figures

Scientific paper

10.1142/S0217732398003351

The perturbative series used to extract $\alpha_s(M_\tau)$ from the $\tau$ 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 $\alpha_s(M_\tau)$ that are about 10% smaller than current estimates. Such a reduction improves the agreement of $\alpha_s(M_\tau)$ with the QCD evolution of the strong coupling constant from $\alpha_s(M_z)$.

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