V-A hadronic tau decays:: a QCD laboratory

ALEPH/OPAL data on the V-A spectral functions from hadronic tau decays are used for fixing the QCD continuum threshold at which the first and second Weinberg sum rules should be satisfied in the chiral limit, and for predicting the values of the low-energy constants f(pi), m(pi+) - m(pio) and L-10. Some DMO-like sum rules and the tau -total hadronic widths R-tau ,R-V-A are also used for extracting the values of the D = 6, 8 QCD vacuum condensates and the corresponding tin the chiral limit) electroweak kaon penguin matrix elements <Q(8,7)(3/2)> (2 pi), where a deviation from the vacuum saturation estimate has been obtained. Combining these results with the one of the QCD penguin matrix element <Q(6)(1/2)> (2 pi) obtained from a (maximal) (q) over barq-gluonium mixing scheme from the scalar meson sum rules, vie deduce, in the Electroweak Standard Model (ESM), the conservative upper bound for the CP-violating ratio: epsilon '/epsilon less than or equal to (22 +/- 9)10(-4), in agreement with the present measurements.