QCD vacuum condensates from tau-lepton decay data

Details QCD vacuum condensates from tau-lepton decay data QCD vacuum condensates from tau-lepton decay data

2006-11-28

arxiv.org/abs/hep-ph/0611347v2

JHEP 0701:093,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revised version: minor explanatory sentences added. No change in results nor figures

Scientific paper

10.1088/1126-6708/2007/01/093

The QCD vacuum condensates in the Operator Product Expansion are extracted from the final ALEPH data on vector and axial-vector spectral functions from $\tau$-decay. Weighted Finite Energy Sum Rules are employed in the framework of both Fixed Order and Contour Improved Perturbation Theory. An overall consistent picture satisfying chirality constraints can be achieved only for values of the QCD scale below some critical value $\Lambda\simeq350 {MeV}$. For larger values of $\Lambda$, perturbation theory overwhelms the power corrections. A strong correlation is then found between $\Lambda$ and the resulting values of the condensates. Reasonable accuracy is obtained up to dimension $d=8$, beyond which no meaningful extraction is possible.

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