From hadronic tau decays to the chiral couplings L10 and C87

Abstract

A sum rule analysis of the hadronic tau-decay data can be used to determine the low-energy constants L10(mu) and C87(mu). These constants are QCD chiral-order parameters, which appear at order p4 and p6, respectively, in the chiral perturbation theory expansion of the V-A correlator. At order p4 we obtain L10(Mrho) = -(5.22 0.06)10-3. Including in the analysis the order p6 contributions, we get L10(Mrho) = -(4.06 0.39)10-3 and C87(Mrho) = (4.89 0.19)10-3 GeV-2.

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