γ*γ→π([eta], [eta]) transition form factors

The surprising results by the BABAR Collaboration on the πγ transition form factor require new thoughts about the high-Q2 dependence of the form factors with virtual photons. We make use of the anomaly sum rule [J. Horejsi and O. Teryaev, Z. Phys. C 65, 691 (1995).] which relates the hadron spectral...

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Hauptverfasser: Melikhov, Dmitri (VerfasserIn) , Stech, Berthold (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 30 March 2012
In: Physical review. D, Particles, fields, gravitation, and cosmology
Year: 2012, Jahrgang: 85, Heft: 5, Pages: 051901
ISSN:1550-2368
DOI:10.1103/PhysRevD.85.051901
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevD.85.051901
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.85.051901
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Verfasserangaben:Dmitri Melikhov and Berthold Stech

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520 |a The surprising results by the BABAR Collaboration on the πγ transition form factor require new thoughts about the high-Q2 dependence of the form factors with virtual photons. We make use of the anomaly sum rule [J. Horejsi and O. Teryaev, Z. Phys. C 65, 691 (1995).] which relates the hadron spectral density to the axial anomaly [S. Adler, Phys. Rev. 177, 2426 (1969); J. S. Bell and R. Jackiw, Nuovo Cimento A 60, 47 (1969).]. We study the quark-hadron duality relation for this sum rule and find out that the increase of the rescaled form factor Q2Fπγ(Q2)∼log (Q2) suggested by the BABAR data requires the presence of a 1/s-correction term in the relation between the one-loop spectral density and the hadron-continuum spectral density. 
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