Asymptotic structure of perturbative series
J.G. Körner1 - F. Krajewski1 - A.A. Pivovarov1,2
1 Institut für Physik,
Staudinger Weg 7, D-55099 Mainz, Germany
2 Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 117312, Russia
Received: 6 September 1999 / Published online: 21 December 1999
We analyze lepton decay observables, namely the moments of the hadronic spectral density in the finite energy interval , within finite order perturbation theory including corrections. The start of the asymptotic growth of the 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.
Copyright Springer-Verlag 2000