Transition form factors of ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons: What can be learned from anomaly sum rule?

Abstract

We have studied the applications of the anomaly sum rule to the transition form factors of light pseudoscalar mesons: ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$. This nonperturbative QCD approach can be used even if the QCD factorization is broken. The possibility of small non-OPE corrections to the spectral density in view of the recent BaBar and Belle data is explored. The accuracy of the applied method and the role of the quark mass contributions are discussed.

4 pages, 2 figures; v2: typos corrected. Talk given by the first author at the conference "Hadron Structure'13", 30 June - 4 July, 2013, Tatranske Matliare, Slovak Republic

References in corpus (6)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Comparing antithetic trends of data for the pion-photon transition form factor
• Axial anomaly as a collective effect of meson spectrum
• Transition Form Factors and Mixing of Pseudoscalar Mesons from Anomaly Sum Rule
• Universal behaviour of the ${\gamma }^{\ast }\gamma \to ({\pi }^0,\eta ,{\eta }^{\prime })$ transition form factors

Cited by in corpus (2)

• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• Analyticity and higher twists