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VOLUME 92 | ISSUE 10 | PAGE 777

Photon-pion transition form factor at high photon virtualities within the nonlocal chiral quark model
A. E. Dorokhov
Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, 141980 Dubna, Moscow region, Russia
Institute for Theoretical Problems of Microphysics, Moscow State University, RU-119899 Moscow, Russia

Recently, the BABAR collaboration reported the measurments of the photon-pion transition form factor F_{\pi\gamma\gamma^{\ast}}\left(Q^{2}\right) , which are in strong contradiction to the predictions of the standard factorization approach to perturbative QCD. In the present work, based on a nonperturbative approach to the QCD vacuum and on rather universal assumptions, we show that there exists two asymptotic regimes for the pion transition form factor. One regime with asymptotics F_{\pi\gamma^{\ast}\gamma}\left(Q^{2}\right) \sim1/Q^{2} corresponds to the result of the standard QCD factorization approach, while other violates the standard factorization and leads to asymptotic behavior as F_{\pi\gamma^{\ast}\gamma}\left(Q^{2}\right) \sim\ln\left(Q^{2}\right)
/Q^{2}. Furthermore, considering specific nonlocal chiral quark models, we find the region of parameters, where the existing CELLO, CLEO and BABAR data for the pion transition form factor are successfully described.

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