From electron-positron and tau decays, sum-rule analyses yield alpha_s(MZ)=0.1176 (fixed-order) or 0.1201 (contour-improved), confirm a roughly six-fold violation of four-quark condensate factorization, and see no evidence for duality violation.
Phys.A 1046 (2024)122873, Nucl
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QCD condensates and $\alpha_s$ from $e^+e^-$ and $\tau$-decays
From electron-positron and tau decays, sum-rule analyses yield alpha_s(MZ)=0.1176 (fixed-order) or 0.1201 (contour-improved), confirm a roughly six-fold violation of four-quark condensate factorization, and see no evidence for duality violation.