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.
Laplace Sum Rules in Quantum ChromoDynamics
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abstract
We shortly review some applications of the (inverse) Laplace (LSR) transform sum rules in Quantum ChromoDynamics (QCD) for extracting the fundamental QCD parameters (coupling constant $\alpha_s$, quark and gluon condensates) and the hadron properties (masses and decay constants). Links of LSR to some other forms of QCD spectral sum rules are also discussed. As prototype examples, we discuss in detail the $\rho$ and $\pi$ meson sum rules.
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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.