Dalitz plot analysis of the $D^{+}\to K^{-}{K}^{+}{K}^{+}$ decay

Abstract

The resonant structure of the doubly Cabibbo-suppressed decay $D^{+}\to K^{-}{K}^{+}{K}^{+}$ is studied for the first time. The measurement is based on a sample of pp-collision data, collected at a centre-of-mass energy of 8 TeV with the LHCb detector and corresponding to an integrated luminosity of 2 fb${}^{-}1$. The amplitude analysis of this decay is performed with the isobar model and a phenomenological model based on an effective chiral Lagrangian. In both models the S-wave component in the $K^{-}{K}^{+}$ system is dominant, with a small contribution of the $\varphi (1020)$ meson and a negligible contribution from tensor resonances. The $K^{-}{K}^{+}$ scattering amplitudes for the considered combinations of spin (0,1) and isospin (0,1) of the two-body system are obtained from the Dalitz plot fit with the phenomenological decay amplitude.

arXiv comment37 pages, 14 figures. All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2018-039.html

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• Measurement of branching fractions for $D$ meson decaying into $\varphi$ meson and a pseudoscalar meson
• Study of the resonance contributions in the ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ decay
• Multibody decay analyses -- a new phenomenological model for meson-meson subamplitudes
• Phenomenological description of the ${\pi }^{-}{\pi }^{+}$ $S$-waves in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ and $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decays: The problem of phases
• The theoretical study of $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$