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η(′)→π+π−γ(*)in large-Ncchiral perturbation theory
Physical Review D  (IF5.296),  Pub Date : 2021-10-21, DOI: 10.1103/physrevd.104.074021
P. Bickert, S. Scherer

We present a calculation of the decays ${\eta }^{{\left(}^{\prime }\right)}\to {\pi }^{+}{\pi }^{-}{\gamma }^{\left(*\right)}$ at the one-loop level up to and including next-to-next-to-leading order (NNLO) in large-${N}_{c}$ chiral perturbation theory. The numerical evaluation of the results is performed successively at LO, NLO, and NNLO, fitting the relevant low-energy constants to the available experimental data. We discuss the widths and decay spectra of ${\eta }^{{\left(}^{\prime }\right)}\to {\pi }^{+}{\pi }^{-}\gamma$ as well as ${\eta }^{{\left(}^{\prime }\right)}\to {\pi }^{+}{\pi }^{-}{l}^{+}{l}^{-}$, with $l=e$, $\mu$.