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arXiv · 1607.01701

Quark-hadron duality: pinched kernel approch

C. A. Dominguez·L. A. Hernandez·K. Schilcher·H. Spiesberger
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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 $s = 10\; {\mbox{GeV}^2}$ 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 $e^+ e^-$ 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.

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C. A. Dominguez, L. A. Hernandez, K. Schilcher, H. Spiesberger. 2016-07-06. Quark-hadron duality: pinched kernel approch. https://doi.org/10.1142/s0217732316300263

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