The preliminary study of RICH detector usage in K$^0_L$ $\rightarrow$ $\mu^\pm$$e^\mp$ decay with the NA62 experiment at CERN

During my work I performed statistical analysis data received from the NA62 simulations of K$^+$$\rightarrow$ e$^+$$\nu$ and K$^+$$\rightarrow$$\mu^+$$\nu$ processes. The goal was to measure NA62 RICH detector efficiency and its capability to distinguish between muons and electrons in specific momentum bins. The separation between electrons and muons would be useful in future to study of rare lepton flavor violating process K$^0_L$ $\rightarrow$ $\mu^\pm$$e^\mp$.