Eur. Phys. J. C 20, 259-269
Determination of the strange quark mass from Cabibbo-suppressed tau decays with resummed perturbation theory in an effective schemeJ.G. Körner1, F. Krajewski1 and 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: 1 October 2000 / Revised version: 22 February 2001 / Published online: 18 May 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
We present an analysis of the ms2-corrections to Cabibbo-suppressed -lepton decays employing contour improved resummation within an effective scheme which is an essential new feature as compared to previous analyses. The whole perturbative QCD dynamics of the -system is described by the -function of the effective coupling constant and by two -functions for the effective mass parameters of the strange quark in different spin channels. We analyze the stability of our results with regard to high-order terms in the perturbative expansion of the renormalization group functions. A numerical value for the strange quark mass in the scheme is extracted: . After running to the scale 1 GeV this translates into .
© Società Italiana di Fisica, Springer-Verlag 2001