2023 Impact factor 4.2
Particles and Fields
Eur. Phys. J. C 14, 495-501
DOI 10.1007/s100520000370

Renormalization scheme and higher loop stability
in hadronic $\tau$ 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

Received: 17 September 1999 / Revised version: 13 January 2000 /
Published online: 6 April 2000 - © Springer-Verlag 2000

We apply an analytic description to the inclusive decay of the $\tau$ 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 $R_\tau$ 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