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

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  • 24 January 2005
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= (115.6+- 16.8) MeV to order \alpha_s^3, which leads to the running mass m_s(2 GeV)= (103.1+-15.1) MeV. The case \lambda^2 = 0 leads to a lower value m_s(2 GeV)= (70.1+- 18.4) MeV, in the boarderline of the lower bound 90 MeV derived from different sum rules, and lower than most of the existing determinations of m_s. We also obtain an interesting though less competitive estimate of the CKM angle: |V_{us}|=0.2185+- 0.036.

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