Model analysis of the world data on the pion transition form factor

Abstract

We discuss the impact of recent Belle data on our description of the pion transition form factor based on the assumption that a perturbative formalism and a nonperturbative one can be matched in a physically acceptable manner at a certain hadronic scale $Q_0$. We discuss the implications of the different parameters of the model in comparing with world data and conclude that within experimental errors our description remains valid. Thus we can assert that the low $Q^2$ nonperturbative description together with an additional $1/Q^2$ term at the matching scale have a strong influence on the $Q^2$ behavior up to very high values of $Q^2$ .

6 pages and 3 figures. Contains a comparison with other models and additional references

References in corpus (3)

• On the Pion Distribution Amplitude Shape
• Comparing antithetic trends of data for the pion-photon transition form factor
• The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model

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• Determination of the pion distribution amplitude
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above
• Heavy and light meson wavefunctions
• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
• $\eta$-$\gamma$ and ${\eta }^{\prime }$-$\gamma$ transition form factors in a nonlocal NJL model
• Theoretical description and measurement of the pion-photon transition form factor
• Electromagnetic decays of the neutral pion investigated in the Dyson-Schwinger formalism
• Sub-leading power corrections to transition form factors of $\eta$ and ${\eta }^{\prime }$ mesons from twist-six contributions