Meson radiative decays and anomaly physics, a test of QCD

We discuss in a wider context the connection of the results previously obtained on the decay processes ?/?'?p+p-? with respect to the ? test of QCD proposed by Chanowitz. We show that one can add consistently to the four Chanowitz equations an equation obtained by Novikovet al. Akhoury and Frère which involvesJ/? decays. We show that the formerly defined model M2 of the ? mass distribution accommodates easily this new constraint, while model M1 indicates an inconsistency with ? data. We study the consequences of both M1 and M2 in the description of ?/?'?µ+µ-? and ?/?'?e+e-? decays and we find a good agrement with the existing measurements. Consistency of the procedure we propose is illustrated by deriving from ?/?'?p+p-? and ?/?'?µ+µ-? decays the branching fractions ?/?'???. We finally examine the consistency of the results obtained using the equations on box and triangle anomalies with the decaysV?P? andP?V?, whereP andV are the usual pseudoscalar and vector mesons. Using standard SU(3) relations among coupling constants, we find consistency of our previous results with most of these radiative decay modes. The set of meson radiative decays thus addressed consists of 21 processes. As a result of all these checks, we improve the picture provided by these two models, one (M1) in agreement with QCD, one (M2) in basic disagreement with it. Ways to go beyond this confirmed ambiguity are proposed.