Application of Pade Approximants to Determination of alphas(MZ2) from Hadronic Event Shape Observables in e+e- Annihilation
Abstract
We have applied Pade approximants to perturbative QCD calculations of event shape observables in e+e- --> hadrons. We used the exact O(alphas2) prediction and the [0/1] Pade approximant to estimate the O(alphas3) term for 15 observables, and in each case determined alphas(MZ2) from comparison with hadronic Z0 decay data from the SLD experiment. We found the scatter among the alphas(MZ2) values to be significantly reduced compared with the standard O(alphas2) 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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