Is there evidence for dimension-two corrections in QCD two-point functions?

Details Is there evidence for dimension-two corrections in QCD two-point functions? Is there evidence for dimension-two corrections in QCD two-point functions?

1999-03-25

arxiv.org/abs/hep-ph/9903483v5

Phys.Rev. D61 (2000) 114020

Physics

High Energy Physics

High Energy Physics - Phenomenology

A misprint in Eq. (14) has been corrected. No other changes. Paper to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.114020

The ALEPH data on the (non-strange) vector and axial-vector spectral functions, extracted from tau-lepton decays, is used in order to search for evidence for a dimension-two contribution, $C_{2 V,A}$, to the Operator Product Expansion (other than $d=2$ quark mass terms). This is done by means of a dimension-two Finite Energy Sum Rule, which relates QCD to the experimental hadronic information. The average $C_{2} \equiv (C_{2V} + C_{2A})/2$ is remarkably stable against variations in the continuum threshold, but depends rather strongly on $\Lambda_{QCD}$. Given the current wide spread in the values of $\Lambda_{QCD}$, as extracted from different experiments, we would conservatively conclude from our analysis that $C_{2}$ is consistent with zero.

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