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SLAC-PUB-7055
Applications of Optimized Perturbation Theory to Determination of as form Hadronic Event Shapes at the Z⁰ Resonance

Abstract

We have applied so-called `optimised' perturbation theory to resolve the renormalisation-scale (mu) ambiguity of exact O(alpha²_s) 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 alpha_s(M²_Z). Comparing with results using the physical scale mu = M_Z we found no reduction in the scatter among alpha_s(M²_Z) values from the 15 observables, implying that the O(alpha²_s) predictions with optimised scales are numerically no closer to the exact all-orders results than those with the physical scale.

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