The $γγ\toπ^0π^0$ and $η\toπ^0γγ$ Transitions in the Extended NJL Model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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13 pages, LaTeX, uses epsf.sty, 3 postscript figures included, complete postscript file available at http://www.nordita.dk/l

Scientific paper

10.1016/0370-2693(96)00455-8

We calculate within the Extended Nambu--Jona-Lasinio model the leading in $1/N_c$ contribution to $\gamma\gamma\to\pi^0\pi^0$ to all orders in the external momenta and quark masses. This result is then combined with the known two-loop Chiral Perturbation Theory and compared with the data and other calculations. A technical difficulty in the same calculation beyond order $p^6$ for $\eta\to\pi^0\gamma\gamma$ is identified and for this decay results up to order $p^6$ are presented.

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