A new analytical method for testing quantum entanglement in P→VV decay

As the basic criterion of the validity of quantum mechanics, Bell's inequality has aroused wide theoretical and experimental interest. With the accumulation of an increasing number of events in high-energy physics, it is tempting to test Bell's inequality directly in particle physics. In this paper, we choose the P→VV decay to reveal entanglement between daughter particles. On the basis of quantum mechanics predictions in the literature, we present a statistical method that can fully utilize the data available. A Monte Carlo simulation was carried to study the effects of detector geometry, detector efficiency and momentum resolution. - Highlights: ► Choose the P→VV to measure the magnitude of the decay plane correlation. ► Introduce K–S test in comparing correlations for fully utilizing data. ► Effects of detector geometry and momentum resolution weaken the correlations.