Axial anomaly and mixing: from real to highly virtual photons

Abstract

The relation for transition form factors of eta and eta' mesons is obtained by combining the exact nonperturbative QCD sum rule, following from the dispersive representation of axial anomaly, and quark-hadron duality. It is valid at all virtual photon momenta and allows one to express the transition form factors entirely in terms of meson decay constants. This relation is in a good agreement with experimental data.

10 pages, 4 figures. Minor corrections, references added and updated; to appear in Phys.Rev.D

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• Two-photon form factors of the pi0, eta and eta-prime mesons in the chiral theory with resonances
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Transition Form Factors and Mixing of Pseudoscalar Mesons from Anomaly Sum Rule
• The eta (eta') gamma transition form factor and the gluon-gluon distribution amplitude
• Universal behaviour of the ${\gamma }^{\ast }\gamma \to ({\pi }^0,\eta ,{\eta }^{\prime })$ transition form factors
• The eta-photon transition form factor
• On the ${\gamma }^{\ast }\gamma \to \pi (\eta ,{\eta }^{\prime })$ transition form factors
• Axial anomaly and vector meson dominance model
• Hadronic Form Factor Models and Spectroscopy Within the Gauge/Gravity Correspondence
• The ${\gamma }^{\ast }{\gamma }^{\ast }\to {\eta }_c$ transition form factor
• Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor
• The photon to pseudoscalar meson transition form factors
• Study of pesudoscalar transition form factors within light front quark model
• Quark-hadron duality, axial anomaly and mixing
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• Dispersive approach to non-Abelian axial anomaly
• Pion-Photon Transition Form Factor and Pion Distribution Amplitude in QCD: Facing the Enigmatic Behavior of the BaBar Data
• Transition form factors of ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons: What can be learned from anomaly sum rule?
• EKHARA - new gamma gamma generator
• Advances in QCD sum rule calculations
• Sub-leading power corrections to transition form factors of $\eta$ and ${\eta }^{\prime }$ mesons from twist-six contributions