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Application of Pade Approximants to Determination of alphas(M2Z) from Hadronic Event Shape Observables in e+e- Annihilation


We have applied Pade approximants to perturbative QCD calculations of event shape observables in $e^+e^- \to$ hadrons. We used the exact O($\alpha_s^{2}$) prediction and the [0/1] Pade approximant to estimate the O($\alpha_s^{3}$) term for 15 observables, and in each case determined $\alpha_s(M_Z^{2}$) from comparison with hadronic $Z^0$ decay data from the SLD experiment. We found the scatter among the $\alpha_s(M_Z^{2}$) values to be significantly reduced compared with the standard O($\alpha_s^{2}$) determination, implying that the Pade method provides at least a partial approximation of higher-order perturbative contributions to event shape observables.

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