2020 Impact factor 4.590
Particles and Fields
Eur. Phys. J. C 14, 123-132
DOI 10.1007/s100520000341

Asymptotic structure of perturbative series for $\tau$ lepton decay observables: ms2 corrections

J.G. Körner1 - F. Krajewski1 - A.A. Pivovarov1,2

1 Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, 55099 Mainz, Germany
2 Institute for Nuclear Research of the Russian Academy of Sciences, Moscow 117312, Russia

Received: 18 November 1999 / Revised version: 20 January 2000 /
Published online: 17 March 2000 - © Springer-Verlag 2000

In a previous paper [1] we performed an analysis of the asymptotic structure of the perturbation theory series for semileptonic $\tau$ lepton decays in the massless limit. We extend our analysis to the Cabibbo suppressed $\Delta S=1$decay modes of the $\tau$ lepton. In particular we address the problem of ms2 corrections to the theoretical formulas. The properties of the asymptotic behavior of the finite order perturbation theory series for the coefficient functions of the ms2 corrections are studied.

Copyright Società Italiana di Fisica, Springer-Verlag 2000