Test of Bell Locality Violation in Flavor Entangled Neutral Meson Pair

TL;DR

This paper systematically studies Bell inequality violations in flavor entangled neutral meson pairs, deriving explicit expressions and confirming violations in multiple meson systems, aiding future high-energy experiments in testing quantum nonlocality and CP violation.

Contribution

It provides the first systematic derivation of Bell inequalities for flavor entangled mesons considering CP violation and demonstrates their violation with experimental data.

Findings

Bell inequality violation observed in B, D, and K meson oscillations.

Derived explicit Bell inequality expressions for neutral meson systems.

Experimental data supports quantum nonlocality in flavor entangled mesons.

Abstract

The quasi-spin entanglement of neutral mesons to test the Bell nonlocality is systematically studied. In the case of CP violation, the concrete expression of the Bell inequality for entangled neutral meson pairs is derived. The violation of Bell inequality in the oscillations of $B_d^0-\bar{B}_d^0$, $B_s^0-\bar{B}_s^0$, $D^0-\bar{D}^0$ and $K^0-\bar{K}^0$ meson pair systems are found at certain evolution time including the latest experimental data. Our study is helpful for studying CP-violating involved flavor entanglement and testing Bell inequality violation in the current and future high energy experiment facilities.