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Applications of Optimized Perturbation Theory to Determination of as form Hadronic Event Shapes at the Z0 Resonance


We have applied so-called `optimised' perturbation theory to resolve the renormalisation-scale (mu) ambiguity of exact O(alpha2s) QCD calculations of event shape observables in e+ e- hadrons. We fitted the optimised predictions for 15 observables to hadronic Z0 decay data from the SLD experiment to determine alphas(M2Z). Comparing with results using the physical scale mu = MZ we found no reduction in the scatter among alphas(M2Z) values from the 15 observables, implying that the O(alpha2s) predictions with optimised scales are numerically no closer to the exact all-orders results than those with the physical scale.

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