Efficiency corrections for mutually inclusive variables and particle identification effect for mixed-cumulants in heavy-ion collisions

Mix-cumulants of conserved charge distributions are sensitive observables for probing properties the QCD medium and phase transition in heavy-ion collisions. To perform precise measurements, efficiency correction is one most important step. In this study, using binomial model, we derive formulas mutually exclusive inclusive variables. The UrQMD model applied to verify validity these different types correlations. Furthermore, investigate effect multiplicity loss contamination emerging from particle identifications. This study provides an step toward future measurements mixed-cumulants relativistic