Transition Form Factors and Mixing of Pseudoscalar Mesons from Anomaly Sum Rule

Abstract

Transition form factors of pi^0, eta, eta' mesons are investigated by means of the anomaly sum rule -- an exact nonperturbative relation which follows from the dispersive representation of the axial anomaly. Considering the problem of contributions of operators originated from a non-(local) operator product expansion, we found that they are required by the available set of experimental data, including the most recent data from the Belle Collaboration (which, if taken alone, can be described without such contributions, although are compatible with them). In this approach we analyzed the experimental data on eta and eta' meson transition form factors and obtained the constraints on the decay constants and mixing parameters.

22 pages, 8 figures; v4: typos in Eqs. (52), (53) are corrected, no result is affected

References in corpus (20)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Abelian anomaly and neutral pion production
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• On the Pion Distribution Amplitude Shape
• γ*γ\rightarrow π^0 transition form factor at low-energies from a model-independent approach
• Comparing antithetic trends of data for the pion-photon transition form factor
• BELLE Data on the ${\pi }^0\gamma \ast \gamma$ Form Factor: A Game Changer?
• Axial anomaly as a collective effect of meson spectrum
• Axial anomaly: the modern status
• Renormalisation of quark propagators from twisted-mass lattice QCD at $N_f$=2
• Universal behaviour of the ${\gamma }^{\ast }\gamma \to ({\pi }^0,\eta ,{\eta }^{\prime })$ transition form factors
• Vector meson dominance and the pi^0 transition form factor
• On the ${\gamma }^{\ast }\gamma \to \pi (\eta ,{\eta }^{\prime })$ transition form factors
• The VVA correlator at three loops in perturbative QCD
• Model analysis of the world data on the pion transition form factor
• Gluonic components of the pion and the transition form factor ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$
• A model of a transition neutral pion formfactor measured in annihilation and scattering channels
• Study of pesudoscalar transition form factors within light front quark model
• Pion-photon transition form factor in light-cone sum rules
• Meson-Photon Transition Form Factors

Cited by in corpus (22)

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• The eta transition form factor from space- and time-like experimental data
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Modeling interactions of photons with pseudoscalar and vector mesons
• Pion-photon transition form factor in LCSR and tests of asymptotics
• A data-driven approach to ${\pi }^0,\eta$ and ${\eta }^{\prime }$ single and double Dalitz decays
• Axial anomaly and vector meson dominance model
• Pion transition form factor in the constituent quark model
• Influence of confining gluon configurations on the $P\to {\gamma }^{\ast }\gamma$ transition form factors
• Matching lightcone- and anomaly-sum-rule predictions for the pion-photon transition form factor
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• Dispersive approach to non-Abelian axial anomaly
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model
• Limit on the pion distribution amplitude
• $1/N_c$ Nambu -- Jona-Lasinio model: ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons
• Gravitational form factors in the perturbative limit
• Transition form factors of ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons: What can be learned from anomaly sum rule?
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• A puzzle of the pion-photon transition form factor - resolved?
• Sub-leading power corrections to transition form factors of $\eta$ and ${\eta }^{\prime }$ mesons from twist-six contributions