Determination of the strange quark mass from Cabibbo-suppressed tau decays with resummed perturbation theory in an effective scheme

We present an analysis of the -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 th...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2001-04, Vol.20 (2), p.259-269
Main Authors: Körner, J.G., Krajewski, F., Pivovarov, A.A.
Format: Article
Language:English
Subjects:
Leptons
Perturbation theory
Quarks
Stability analysis
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Summary:We present an analysis of the -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: $m_s(M_\tau)=130\pm 27_{\mathrm{{exp}}}\pm 9_{\mathrm{{th}}}{\mathrm{ MeV}}$. After running to the scale this translates into .
ISSN:1434-6044
1434-6052
DOI:10.1007/s100520100662