Abstract
We study the transition form factors of pseudoscalar mesons by means of anomaly sum rule — an exact relation which is a consequence of dispersive representation of axial anomaly. This sum rule (derived for the octet channel) and combined with the quark-hadron duality allows us to relate the transition form factors of η and η′ mesons. The notion of quark-hadron duality in connection with our approach is discussed and comparison with recent experimental data is done.
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References
J. S. Bell and R. Jackiw, “A PCAC Puzzle: π0 → ΓΓ in the Sigma Model,” Nuovo Cimento A 60, 47–61 (1969); S. L. Adler, “Axial Vector Vertex in Spinor Electrodynamics,” Phys. Rev. 177, 2426–2438 (1969).
A. D. Dolgov and V. I. Zakharov, “On Conservation of the Axial Current in Massless Electrodynamics,” Nucl. Phys. B 27, 525–540 (1971).
J. Horejsi, “On Dispersive Derivation of Triangle Anomaly,” Phys. Rev. D 32, 1029 (1985).
J. Horejsi and O. Teryaev, “Dispersive Approach to the Axial Anomaly, the t’Hooft’s Principle and QCD Sum Rules,” Z. Phys. C 65, 691–696 (1995).
Y. N. Klopot, A. G. Oganesian, and O. V. Teryaev, “Axial Anomaly as a Collective Effect of Meson Spectrum,” Phys. Lett. B 695, 130–135 (2011); Y. N. Klopot, A. G. Oganesian, and O. V. Teryaev, “Axial Anomaly and Mixing: From Real to Highly Virtual Photons,” Phys. Rev. D 84, 051901 (2011).
P. Kroll, “The Form Factors for the Photon to Pseudoscalar Meson Transitions — An Update,” Eur. Phys. J. C 71, 1623 (2011); S. J. Brodsky, F.-G. Cao, and G. F. de Teramond, “Evolved QCD Predictions for the Meson-Photon Transition Form Factors,” Phys. Rev. D 84, 033001 (2011); X.-G. Wu and T. Huang, “Constraints on the Light Pseudoscalar Meson Distribution Amplitudes from Their Meson-Photon Transition Form Factors,” Phys. Rev. D 84, 074011 (2011); A. P. Bakulev, S. V. Mikhailov, A. V. Pimikov, and N. G. Stefanis, “Pion-Photon Transition: The New QCD Frontier,” Phys. Rev. D 84, 034014 (2011); A. E. Dorokhov, “Pseudoscalar Meson Form Factors and Decays,” arXiv:1109.3754 [hep-ph]; I. Balakireva, W. Lucha, and D. Melikhov, “Pion Elastic and (π0, η, η′) → ΓΓ* Transition Form Factors in a Broad Range of Momentum Transfers,” arXiv:1110.6904 [hep-ph]; S. Noguera and S. Scopetta, “The eta-photon Transition Form Factor,” arXiv:1110.6402 [hep-ph].
P. del Amo Sanchez et al. (BABAR Collab.), “Measurement of the ΓΓ* → η and ΓΓ* → η’ Transition Form Factors,” Phys. Rev. D 84, 052001 (2011).
S. L. Adler and W. A. Bardeen, “Absence of Higher Order Corrections in the Anomalous Axial Vector Divergence Equation,” Phys. Rev. 182, 1517–1536 (1969).
G. P. Lepage and S. J. Brodsky, “Exclusive Processes in Quantum Chromodynamics: Evolution Equations for Hadronic Wave Functions and the Form-Factors of Mesons,” Phys. Lett. B 87, 359–365 (1979); A. V. Efremov and A. V. Radyushkin, “Factorization and Asymptotical Behavior of Pion Form-Factor in QCD,” Phys. Lett. B 94, 245–250 (1980).
F. Jegerlehner and O. V. Tarasov, “Explicit Results for the Anomalous Three Point Function and Non-Renormalization Theorems,” Phys. Lett. B 639, 299–306 (2006).
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Klopot, Y.N., Oganesian, A.G. & Teryaev, O.V. Axial anomaly, quark-hadron duality and transition form factors. Phys. Part. Nuclei Lett. 9, 769–771 (2012). https://doi.org/10.1134/S1547477112070096
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DOI: https://doi.org/10.1134/S1547477112070096