Axial anomaly and vector meson dominance model

Abstract

The dispersive representation of axial anomaly leads to the anomaly sum rules (ASRs), exact nonperturbative relations in QCD. The analytical continuation of the ASRs to the time-like region is performed. The transition form factors of ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons in this region are calculated. A good agreement with the available experimental data is found. Based on the ASRs, we have provided the foundations for the vector meson dominance model in these processes.

13 pages, 4 figures

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Cited by in corpus (13)

• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Hadronic and partonic sources of direct photons in relativistic heavy-ion collisions
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• The eta transition form factor from space- and time-like experimental data
• Axial anomaly and energy dependence of hyperon polarization in Heavy-Ion Collisions
• A data-driven approach to ${\pi }^0,\eta$ and ${\eta }^{\prime }$ single and double Dalitz decays
• Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor
• Two-photon decays and transition form factors of ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$ in large-$N_c$ chiral perturbation theory
• Scouring meson decays for true muonium
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• Analysis of the $e^{+}{e}^{-}\to {\pi }^0\gamma$ process using anomaly sum rules approach
• Dispersive approach to non-Abelian axial anomaly