TTP98-18 Determining the Strange Quark Mass in Cabibbo Suppressed Tau Lepton Decays

TTP98-18 Determining the Strange Quark Mass in Cabibbo Suppressed Tau Lepton Decays

TTP98-18 Determining the Strange Quark Mass in Cabibbo Suppressed Tau Lepton Decays

In this work radiative corrections in the total hadronic decay rate of the tau-lepton and some moments of its differential distributions are studied employing perturbative QCD and the operator product expansion. We calculate quadratic quark mass corrections in the strange mass to the decay rate ratio R_{\tau} to the order O(\alpha_s^3 m^2) and find that they contribute appreciably to the Cabibbo suppressed decay modes of the $\tau$-lepton. Using the results of a recent experimental analysis, we obtain m_s(1 GeV ) = 200 \pm 40_{exp} \pm 30_{th} MeV.

K. G. Chetyrkin, J.H. K\“uhn and A.A. Pivovarov
Nucl.Phys. B533 473-493 1998
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