Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-03-20
Phys.Rev.D80:054014,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
Additional remarks have been added. There is no change in the results, conclusions, etc
Scientific paper
10.1103/PhysRevD.80.054014
The (non-strange) vector and axial-vector spectral functions extracted from $\tau $-decay by the ALEPH collaboration are confronted with QCD in the framework of a Finite Energy QCD sum rule (FESR) involving a polynomial kernel tuned to suppress the region beyond the kinematical end point where there is no longer data. This effectively allows for a QCD FESR analysis to be performed beyond the region of the existing data. Results show excellent agreement between data and perturbative QCD in the remarkably wide energy range $s = 3 - 10 {GeV}^2$, leaving room for a dimension $d$ =4 vacuum condensate consistent with values in the literature. A hypothetical dimension $d$=2 term in the Operator Product Expansion is found to be extremely small, consistent with zero. Fixed Order and Contour Improved perturbation theory are used, with both leading to similar results within errors. Full consistency is found between vector and axial-vector channel results.
Dominguez Cesareo A.
Nasrallah Nasrallah F.
Schilcher Karl
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