Studies of the resonance structure in $D^0\to K_S^0{K}^{\pm }{\pi }^{\mp }$ decays

Abstract

Amplitude models are applied to studies of resonance structure in $D^0\to K_S^0{K}^{-}{\pi }^{+}$ and $D^0\to K_S^0{K}^{+}{\pi }^{-}$ decays using $pp$ collision data corresponding to an integrated luminosity of $3.0{\mathrm{fb}}^{-1}$ collected by the LHCb experiment. Relative magnitude and phase information is determined, and coherence factors and related observables are computed for both the whole phase space and a restricted region of $100MeV/c^2$ around the $K^{\ast }(892{)}^{\pm }$ resonance. Two formulations for the $K\pi$ $S$-wave are used, both of which give a good description of the data. The ratio of branching fractions $\mathcal{B}(D^0\to K_S^0{K}^{+}{\pi }^{-})/\mathcal{B}(D^0\to K_S^0{K}^{-}{\pi }^{+})$ is measured to be $0.655\pm 0.004(\text{stat})\pm 0.006(\text{syst})$ over the full phase space and $0.370\pm 0.003(\text{stat})\pm 0.012(\text{syst})$ in the restricted region. A search for $CP$ violation is performed using the amplitude models and no significant effect is found. Predictions from $SU(3)$ flavor symmetry for $K^{\ast }(892)K$ amplitudes of different charges are compared with the amplitude model results.

56 pages, 27 tables, 12 figures. Updated to published version

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