English

Chiral sum rules and vacuum condensates from tau-lepton decay data

High Energy Physics - Phenomenology 2015-06-23 v5 High Energy Physics - Lattice

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 d=2d=2 and d=4d=4. These data are also used to check the validity of the Weinberg sum rules, and to determine the chiral condensates of dimension d=6d=6 and d=8d=8, as well as the chiral correlator at zero momentum, proportional to the counter term of the O(p4){\cal{O}}(p^4) Lagrangian of chiral perturbation theory, Lˉ10\bar{L}_{10}. 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 s2.2s \simeq 2.2 GeV2^2 after using pinched integration kernels.

Keywords

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

R2 v1 2026-06-22T06:23:18.698Z