The number of colors in the decays
Physik Department, Technische Universität München, 85747, Garching, Germany
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The decays are investigated up to next-to-next-to-leading order in the framework of the combined 1/N c and chiral expansions. Without mixing of the pseudoscalar mesons the N c independence of the and decay amplitudes is shown to persist at the one-loop level, although the contribution of the Wess-Zumino-Witten term to the pertinent vertices is not canceled by the N c dependent part of a Goldstone-Wilczek term. The decay amplitude of the singlet field, on the other hand, depends strongly on N c and yields under the inclusion of mixing also a strong N c dependence for the decay. Both the and decay are suited to confirm the number of colors to be N c = 3.
© Springer-Verlag, 2004