Asymptotic structure of perturbative series for $\tau$ lepton decay observables: $m_s^2$ corrections

J.G. Körner1; F. Krajewski; A.A. Pivovarov

doi:doi:10.1007/s100520000341

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2018 Impact factor 4.843

Particles and Fields

Eur. Phys. J. C 14, 123-132
DOI 10.1007/s100520000341

Asymptotic structure of perturbative series for $\tau$ lepton decay observables: m_s² corrections

J.G. Körner¹ - F. Krajewski¹ - A.A. Pivovarov^1,2

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

Abstract
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 m_s² corrections to the theoretical formulas. The properties of the asymptotic behavior of the finite order perturbation theory series for the coefficient functions of the m_s² corrections are studied.