Prospects of $CP$ violation in $\mathrm{\Lambda }$ decay with polarized electron beam at STCF

Based on $1.89\times {10}^8$ $J\mathrm{/}\psi \to \mathrm{\Lambda }\bar{\mathrm{\Lambda }}$ Monte Carlo (MC) events produced from a longitudinally-polarized electron beam, the sensitivity of $CP$ violation of $\mathrm{\Lambda }$ decay is studied with fast simulation software. In addition, the $J\mathrm{/}\psi \to \mathrm{\Lambda }\bar{\mathrm{\Lambda }}$ decay can also be used as a process to optimize the detector response using the interface provided by the fast simulation software. In the future, STCF is expected to obtain 3.4 trillion $J\mathrm{/}\psi$ events, and the statistical sensitivity of $CP$ violation of $\mathrm{\Lambda }$ decay via $J\mathrm{/}\psi \to \mathrm{\Lambda }\bar{\mathrm{\Lambda }}$ process is expected to reach $\mathcal{O}$~$({10}^{-5})$ when the electron beam polarization is 80%.