Strange Quark, Tachyonic Gluon Masses and V_{us} from Hadronic Tau Decays

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Abstract
We apply, to the new OPAL data on V+A strange spectral functions, a suitable combination of QCD spectral sum rules directly sensitive to the combination of strange quark (m_s) and tachyonic gluon (\lambda^2) masses . Using the mean value of \lambda^2 from a sum rule analysis of different channels, we deduce the invariant strange quark mass m_s= (102 +26 -30) MeV to order \alpha_s^3, which leads to the running mass m_s(2 GeV)= (89.4 +23 -26) MeV. The case \lambda^2 = 0 leads to a value of m_s exluded by the lower bounds derived from the positivity of spectral functions. We also obtain an interesting though less competitive estimate of the CKM angle: |V_{us}|=0.217\pm 0.019.

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