Entanglement and Bell nonlocality in $\textit{τ}$
Tao Han (PITT PACC, Department of Physics and Astronomy, University of Pittsburgh, 3941 O’Hara St., Pittsburgh, PA, 15260, USA)
; Matthew Low (PITT PACC, Department of Physics and Astronomy, University of Pittsburgh, 3941 O’Hara St., Pittsburgh, PA, 15260, USA); Youle Su (Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai, 200438, China)
Quantum entanglement and Bell nonlocality are two phenomena that occur only in quantum systems. In both cases, these are correlations between two subsystems that are classically absent. Traditionally, these phenomena have been measured in low-energy photon and electron experiments, but more recently they have also been measured in high-energy particle collider environments. In this work, we propose measuring the entanglement and Bell nonlocality in the $\textit{τ}$ $\textit{τ}$ state near and above its kinematic threshold at the Beijing Electron Positron Collider (BEPC). We find that in the existing dataset, entanglement is observable if systematic uncertainties are kept to 1%. In the upcoming run between 4.0 and 5.6 GeV, the entanglement is predicted to be measurable with a precision better than 4% and Bell nonlocality can be established at 5$\textit{σ}$ as long as systematic uncertainty can be controlled at level of 0$\textit{.}$5%–2$\textit{.}$0%, depending on the center-of-mass energy.
