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Particles and Fields

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, 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 $\tau$-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 $\tau$-system is described by the $\beta$-function of the effective coupling constant and by two $\gamma$-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 $\overline{\mathrm {{MS}}}$ scheme is extracted: $m_s(M_\tau)=130\pm 27_{\mathrm {{exp}}}\pm
9_{\mathrm {{th}}} {\mathrm { MeV}}$. After running to the scale 1 GeV this translates into $m_s(1 {\mathrm { GeV}})=176 \pm 37_{\mathrm {{exp}}}\pm
13_{\mathrm {{th}}} {\mathrm { MeV}}$.

© Società Italiana di Fisica, Springer-Verlag 2001