Rare Kaon Decays in the $1/N_c$-Expansion

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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18 pages, LaTeX, CPT-92/P.2795

Scientific paper

10.1007/BF01561477

We study the unknown coupling constants that appear at order $p^4$ in the Chiral Perturbation Theory analysis of $K \to \pi \gamma^* \to \pi l^+ l^-$, $K^{+-} \to \pi^{+-} \gamma \gamma$ and $K \to \pi \pi \gamma$ decays. To that end, we compute the chiral realization of the $\Delta S \, = \, 1$ Hamiltonian in the framework of the $1/N_c$-expansion of the low-energy action. The phenomenological implications are also discussed.

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