Asymptotic structure of perturbative series for tau lepton observables
Abstract
We analyze tau lepton decay observables, namely moments of the hadronic spectral density in the finite energy interval (0,Mτ), within finite order perturbation theory including αs4 corrections. The start of asymptotic growth of perturbation theory series is found at this order in a scheme invariant manner. We establish the ultimate accuracy of finite order perturbation theory predictions and discuss the construction of optimal observables.
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