Finite energy chiral sum rules in QCD

The saturation of QCD chiral sum rules of the Weinberg-type is analyzed using ALEPH and OPAL experimental data on the difference between vector and axial-vector correlators (V–A). The sum rules exhibit poor saturation up to current energies below the tau-lepton mass. A remarkable improvement is achi...

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Bibliographic Details
Published in:Physics letters. B 2004-02, Vol.581 (3-4), p.193-198
Main Authors: Dominguez, C.A., Schilcher, K.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
Quantum chromodynamics
Specific theories and interaction models
particle systematics
Summation of perturbation theory
The physics of elementary particles and fields
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Summary:The saturation of QCD chiral sum rules of the Weinberg-type is analyzed using ALEPH and OPAL experimental data on the difference between vector and axial-vector correlators (V–A). The sum rules exhibit poor saturation up to current energies below the tau-lepton mass. A remarkable improvement is achieved by introducing integral kernels that vanish at the upper limit of integration. The method is used to determine the value of the finite remainder of the V–A correlator, and its first derivative, at zero momentum: Π̄(0)=−4L̄10=0.0257±0.0003, and Π̄′(0)=0.065±0.007 GeV−2. The dimension d=6 and d=8 vacuum condensates in the operator product expansion are also determined: 〈O6〉=−(0.004±0.001) GeV6, and 〈O8〉=−(0.001±0.006) GeV8.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2003.11.009