New observables for testing Bell inequalities in $W$ boson pair production

Abstract

We show that testing Bell inequalities in $W^{\pm }$ pair systems by measuring their angular correlation suffers from the ambiguity in kinetical reconstruction of the di-lepton decay mode. We further propose a new set of Bell observables based on the measurement of the linear polarization of the $W$ bosons, providing a realistic observable to test Bell inequalities in $W^{\pm }$ pair systems for the first time.

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• Spin correlations and Bell nonlocality in $\Lambda \bar{\Lambda }$ pair production from $e^{+}{e}^{-}$ collisions with a thrust cut
• Higher-Order Corrections to Quantum Observables in $h\to W{W}^{\ast }$
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• Particle Collisions & Quantum Entanglement in High-Energy Collisions
• Colliders are not Testing Locality via Bell's Inequality nor Providing an Unconditional Proof of Entanglement