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Photon-pion transition form factor at high photon virtualities within the nonlocal chiral quark model

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Abstract

Recently, the BABAR collaboration reported the measurements of the photon-pion transition form factor F πγγ*(Q 2), 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 exist two asymptotic regimes for the pion transition form factor. One regime with the asymptotic behavior F πγ*γ(Q 2) ∼ 1/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 πγ*γ(Q 2) ∼ ln(Q 2)/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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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, 141980, Russia

    A. E. Dorokhov

  2. Institute for Theoretical Problems of Microphysics, Moscow State University, Moscow, 119899, Russia

    A. E. Dorokhov

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  1. A. E. Dorokhov
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Dorokhov, A.E. Photon-pion transition form factor at high photon virtualities within the nonlocal chiral quark model. Jetp Lett. 92, 707–719 (2010). https://doi.org/10.1134/S0021364010220145

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