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We report the measurement of the branching fraction and $CP$ asymmetry forthe $\bar{B}^{0}(B^{0})\to K^{0}_{S}K^{\mp}\pi^{\pm}$ decay. The analysis isperformed on a data sample of 711 $\rm{fb}^{-1}$ collected at the$\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy$e^{+}e^{-}$ collider. We obtain a branching fraction of$(3.60\pm0.33\pm0.15)\times10^{-6}$ and an $\mathcal{A}_{CP}$ of$(-8.5\pm8.9\pm0.2)\%$, where the first uncertainties are statistical and thesecond are systematic. Hints of peaking structures are also observed in thedifferential branching fraction as functions of Dalitz variables.

Measurements of branching fraction and $CP$ asymmetry of the $\bar{B}^{0}(B^{0})\to K^{0}_{S}K^{\mp}\pi^{\pm}$ decay at Belle