Collider measurements of final-state momenta alone cannot certify Bell nonlocality or entanglement, because the measured angular distribution is itself a local hidden variable model.
On a possible EPR experiment with $B^{0}_{d}\bar{B^{0}_{d}}$ pairs
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A very general local realistic theory of single $B^{0}_{d}$ mesons and of correlated $B^{0}_{d}\bar{B^{0}_{d}}$ pairs is formulated. If these pairs are produced in the $\Upsilon (4S)$ decay, the local realistic asymmetry for observing pairs with like and unlike flavour at different proper times remarkably differs from the quantum mechanical prediction. Asymmetric B-factories provide a powerful tool for the study of the EPR problem since the relative detection experiments are shown to be capable of a time-dependent measurement precise enough to discriminate between local realism and quantum theory.
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Colliders are Testing neither Locality via Bell's Inequality nor Entanglement versus Non-Entanglement
Collider measurements of final-state momenta alone cannot certify Bell nonlocality or entanglement, because the measured angular distribution is itself a local hidden variable model.