The asymptotic behaviour of the $π^0$ $γ^\ast$ $γ^\ast$ vertex

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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10 pages, latex, no figures

Scientific paper

10.1016/0370-2693(95)00811-X

The Bjorken-Johnson-Low theorem applied to the $\gamma^\ast \to \gamma^\ast \pi^0$ process provides us with a rather remarkable asymptotic behaviour for the $\pi^0 \gamma^\ast \gamma^\ast$ vertex. We compare our result with previous QCD- inspired estimates and argue that the predicted behaviour is quite consistent with the present data on hadronic $J/\Psi$ decays and ensures the matching of long- and short-distance radiative corrections to $\pi^+ \to e^+ \nu_e$.

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