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arXiv · 1110.0474

Quark-hadron duality, axial anomaly and mixing

Yaroslav Klopot·Armen Oganesian·Oleg Teryaev
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Abstract

Interplay between axial anomaly and quark-hadron duality in the presence of strong mixing is considered. The anomaly sum rule for meson transition form factors based on the dispersive representation of axial anomaly and quark-hadron duality in octet channel is analyzed. The comparison of this sum rule to the experimental data on $\eta$ and $\eta'$ mesons transition form factors shows that the interval of duality in this channel is rather small, contradicting the usual understanding of quark-hadron duality. The same values of interval of duality are supported by considering the two-point correlator in the local duality limit. This contradiction may be resolved by introducing of some nonperturbative non-OPE correction to the relevant spectral density. The form and value of this correction are discussed.

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Yaroslav Klopot, Armen Oganesian, Oleg Teryaev. 2011-10-03. Quark-hadron duality, axial anomaly and mixing. https://doi.org/10.1134/s0021364011220061

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