Sensitivity of $CP$ Violation of $\Lambda$ decay in $J/\psi \to \Lambda \bar{\Lambda}$ at STCF

TL;DR

This study assesses the potential to detect $CP$ violation in $\Lambda$ decay from $J/\psi$ decays at STCF, using large-scale Monte Carlo simulations to estimate sensitivity and optimize detector performance.

Contribution

It provides a detailed sensitivity estimate for $CP$ violation detection in $\Lambda$ decay at STCF and demonstrates the use of this process as a benchmark for detector optimization.

Findings

Sensitivity for $CP$ violation detection is around $10^{-4}$.

The process serves as an effective benchmark for detector response optimization.

Large-scale Monte Carlo simulations support future experimental planning.

Abstract

The process of $J/\psi \to \Lambda \bar{\Lambda}$ is studied using $1.0\times10^{12}$ $J/\psi$ Monte Carlo (MC) events at $\sqrt{s}$=3.097 GeV with a fast simulation software at future Super Tau Charm Facility (STCF). The statistical sensitivity for $CP$ violation is determined to be the order of $\mathcal{O} (10^{-4})$ by measuring the asymmetric parameters of the $\Lambda$ decay. Furthermore, the decay of $J/\psi \to \Lambda \bar{\Lambda}$ also serves as a benchmark process to optimize the detector responses using the interface provided by the fast simulation software.