Abstract

The Lattice results for the pion and kaon decay constants are analyzed within the Resonance Chiral Theory framework in the large ${N}_{C}$ limit. The approximately linear behavior of the observable at large light-quark mass is explained through the interaction with the lightest multiplet of scalar resonances. The analysis of the Lattice results allows to obtain the resonance mass ${M}_{S}=1049\ifmmode\pm\else\textpm\fi{}25\text{ }\text{ }\mathrm{M}\mathrm{e}\mathrm{V}$ and some of the Chiral Perturbation Theory parameters at leading order in $1/{N}_{C}$.

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