The number of colors in the decays pi^0, eta, eta-prime -> gamma gamma

Details The number of colors in the decays pi^0, eta, eta-prime -> gamma gamma The number of colors in the decays pi^0, eta, eta-prime -> gamma gamma

2004-02-27

arxiv.org/abs/hep-ph/0402294v1

Eur.Phys.J. C34 (2004) 317-326

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 1 figure

Scientific paper

10.1140/epjc/s2004-01713-9

The decays pi^0, eta, eta-prime -> gamma gamma 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 pi^0 and eta 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 eta decay. Both the eta and eta-prime decay are suited to confirm the number of colors to be N_c=3.

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