DOI 10.1007/s100520000370
Renormalization scheme and higher loop stability
in hadronic 
decay within analytic perturbation theory
K.A. Milton1 - I.L. Solovtsov1,2 - O.P. Solovtsova1,2 - V.I. Yasnov2,3
1 Department of Physics and Astronomy, University of
Oklahoma, Norman, OK 73019 USA
2 Bogoliubov Laboratory of Theoretical Physics, Joint
Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia
3 Department of Physics and Astronomy, University of Southern
California, Los Angeles, CA 90089-0484, USA
s
Received: 17 September 1999 / Revised version: 13 January 2000
/
Published online: 6 April 2000
- © Springer-Verlag 2000
Abstract
We apply an analytic description to the inclusive
decay of the
lepton. We argue that this method gives not only a
self-consistent description of the process both in the timelike region by
using the initial expression for 
and in the spacelike domain by
using the analytic properties of the hadronic correlator, but also leads to
the fact that theoretical uncertainties associated with unknown higher-loop
contributions and renormalization scheme dependence can be reduced
dramatically.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
