Chiral Anomaly Effects and the BaBar Measurements of the $γγ^{*}\to π^{0}$ Transition Form Factor

Details Chiral Anomaly Effects and the BaBar Measurements of the $γγ^{*}\to π^{0}$ Transition Form Factor Chiral Anomaly Effects and the BaBar Measurements of the $γγ^{*}\to π^{0}$ Transition Form Factor

2011-01-17

arxiv.org/abs/1101.3177v4

Int.J.Mod.Phys.A26:4125-4131,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

v4, LaTeX, 8 pages, one figure, minor changes(references), to appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X11054140

The recent BaBar measurements of the $\gamma\gamma^{*}\to \pi^{0}$ transition form factor show spectacular deviation from perturbative QCD prediction for large space-like $Q^{2}$ up to $34\,\rm GeV^{2}$. When plotted against $Q^{2}$, $Q^{2}F(Q^{2})$ shows steady increase with $Q^{2}$ in contrast with the flat $Q^{2}$ behavior predicted by perturbative QCD, and at $34\,\rm GeV^{2}$ is more than 50% larger than the QCD prediction. Stimulated by the BaBar measurements, we revisit our previous paper on the cancellation of anomaly effects in high energy processes $Z^{0}\to \pi^{0}\gamma$, $e^{+}e^{-}\to \pi^{0}\gamma$ and apply our results to the $\gamma^{*}\gamma\to \pi^{0}$ transition form factor measured in the $e^{+}e^{-}\to e^{+}e^{-}\pi^{0}$ process with one highly virtual photon. We find that, the transition form factor $F(Q^{2})$ behaves as $(\frac{m^{2}}{Q^{2}})\times (\ln(Q^{2}/m^{2}))^{2}$ and produces a striking agreement with the BaBar data for $Q^{2}F(Q^{2})$ with $m=132\,\rm MeV$ which also reproduces very well the CLEO data at lower $Q^{2}$.

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