Quark-hadron duality: pinched kernel approch
Abstract
Hadronic spectral functions measured by the ALEPH collaboration in the vector and axial-vector channels are used to study potential quark-hadron duality violations (DV). This is done entirely in the framework of pinched kernel finite energy sum rules (FESR), i.e. in a model independent fashion. The kinematical range of the ALEPH data is effectively extended up to by using an appropriate kernel, and assuming that in this region the spectral functions are given by perturbative QCD. Support for this assumption is obtained by using annihilation data in the vector channel. Results in both channels show a good saturation of the pinched FESR, without further need of explicit models of DV.
Cite
@article{arxiv.1607.01701,
title = {Quark-hadron duality: pinched kernel approch},
author = {C. A. Dominguez and L. A. Hernandez and K. Schilcher and H. Spiesberger},
journal= {arXiv preprint arXiv:1607.01701},
year = {2016}
}
Comments
Invited talk given by K. Schilcher at the International Workshop on Determination of the Fundamental Parameters in QCD. Mainz Institute of Theoretical Physics, Johannes Gutenberg University of Mainz, Mainz, Germany