Scalar resonances in the $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay

Abstract

We study theoretically the resonant structure of the double Cabibbo suppressed $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay. We start from an elementary production diagram, considered subleading in previous approaches, which cannot produce a final $K^{-}{K}^{+}$ pair at the tree level but which we show to be able to provide the strength of the decay through final meson-meson state interaction. The different meson-meson elementary productions are related through SU(3) and the final rescattering is implemented from a suitable implementation of unitary extensions of ChPT which generate dynamically the scalar resonances $f_0(980)$ and $a_0(980)$. We obtain a good agreement with recent experimental data from the LHCb collaboration with a minimal freedom in the fit and show the dominance of the $a_0(980)$ contribution close to the threshold of the $K^{-}{K}^{+}$ spectrum.

Comments: 8 pages, 7 figures