Search for $CP$ violation with kinematic asymmetries in the $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ decay

We search for $CP$ violation in the singly-Cabibbo-suppressed decay $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ using data corresponding to an integrated luminosity of $988{\mathrm{f}\mathrm{b}}^{-1}$ collected by the Belle detector at the KEKB $e^{+}{e}^{-}$ collider. We measure a set of five kinematically dependent $CP$ asymmetries, of which four asymmetries are measured for the first time. The set of asymmetry measurements can be sensitive to $CP$ violation via interference between the different partial-wave contributions to the decay and performed on other pseudoscalar decays. We find no evidence of $CP$ violation.