Quark-hadron duality: pinched kernel approach

DOI10.1142/S0217732316300263zbMATH Open1347.81005arXiv1607.01701OpenAlexW3098725971MaRDI QIDQ2826514

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Publication date: 17 October 2016

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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.

Full work available at URL: https://arxiv.org/abs/1607.01701

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