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The violation of the Bell inequality is one of the hallmarks of quantummechanics and can be used to rule out local deterministic alternativedescriptions. We utilize the data analysis published by the LHCb collaborationon the helicity amplitudes for the decay $B^0\to J/\psi \, K^{*}(892)^0$ tocompute the entanglement among the polarizations of the final vector mesons andthe violation of Bell inequality that it entails. We find that the violationhas a significance of 36$\sigma$ -- thereby firmly establishing thisdistinguishing feature of quantum mechanics at high energies in a collidersetting and in the presence of strong and weak interactions. The Bellinequality is also violated in other decays of the $B$ mesons into vectormesons, but with lesser significance.

Bell inequality is violated in $B^0\to J/\psi \, K^{\star}(892)^0$ decays