Quark-hadron duality, axial anomaly and mixing

Details Quark-hadron duality, axial anomaly and mixing Quark-hadron duality, axial anomaly and mixing

2011-10-03

arxiv.org/abs/1110.0474v2

JETP Lett. 94 (2011) 729-733

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 1 figure, reference added

Scientific paper

10.1134/S0021364011220061

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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