Is there evidence for dimension-two corrections in QCD two-point functions?
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, , to the Operator Product Expansion (other than 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 is remarkably stable against variations in the continuum threshold, but depends rather strongly on . Given the current wide spread in the values of , as extracted from different experiments, we would conservatively conclude from our analysis that 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