Eur. Phys. J. C 20, 259-269
DOI: 10.1007/s100520100662
Determination of the strange quark mass from Cabibbo-suppressed tau decays with resummed perturbation theory in an effective scheme
J.G. Körner1, F. Krajewski1 and A.A. Pivovarov1, 21 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)
Abstract
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