English

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

High Energy Physics - Phenomenology 2009-10-31 v5

Abstract

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, C2V,AC_{2 V,A}, to the Operator Product Expansion (other than d=2d=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 C2(C2V+C2A)/2C_{2} \equiv (C_{2V} + C_{2A})/2 is remarkably stable against variations in the continuum threshold, but depends rather strongly on ΛQCD\Lambda_{QCD}. Given the current wide spread in the values of ΛQCD\Lambda_{QCD}, as extracted from different experiments, we would conservatively conclude from our analysis that C2C_{2} is consistent with zero.

Cite

@article{arxiv.hep-ph/9903483,
  title  = {Is there evidence for dimension-two corrections in QCD two-point functions?},
  author = {C. A. Dominguez and K. Schilcher},
  journal= {arXiv preprint arXiv:hep-ph/9903483},
  year   = {2009}
}

Comments

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

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