Axial Anomaly and Transition Formfactors

Details Axial Anomaly and Transition Formfactors Axial Anomaly and Transition Formfactors

2010-12-14

arxiv.org/abs/1012.3016v1

PoS (ICHEP 2010) 174

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 1 figure, to appear in the proceedings of 35th International Conference on High Energy Physics (ICHEP 2010), Paris, F

Scientific paper

We study photon-meson transition formfactors of light mesons in the kinematics, where one photon is real and other is virtual. Dispersive approach to axial anomaly leads to the anomaly sum rule. The absence of corrections to it allows us to get the relation between possible corrections to continuum and to lower states within QCD method which does not rely on factorization hypothesis. We show, relying on the recent data of the BaBar Collaboration, that the relative correction to continuum is quite small, and small correction to continuum can dramatically change the pion formfactor. The same effect for {\eta} meson is shown to be less pronounced.

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