Chiral sum rules and vacuum condensates from tau-lepton decay data
Abstract
QCD finite energy sum rules, together with the latest updated ALEPH data on hadronic decays of the tau-lepton are used in order to determine the vacuum condensates of dimension and . These data are also used to check the validity of the Weinberg sum rules, and to determine the chiral condensates of dimension and , as well as the chiral correlator at zero momentum, proportional to the counter term of the Lagrangian of chiral perturbation theory, . Suitable (pinched) integration kernels are introduced in the sum rules in order to suppress potential quark-hadron duality violations. We find no compelling indications of duality violations in the kinematic region above GeV after using pinched integration kernels.
Cite
@article{arxiv.1410.3779,
title = {Chiral sum rules and vacuum condensates from tau-lepton decay data},
author = {C. A. Dominguez and L. A. Hernandez and K. Schilcher and H. Spiesberger},
journal= {arXiv preprint arXiv:1410.3779},
year = {2015}
}
Comments
Revised version with additional discussions/comments