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arXiv · 2401.01162

Can Bell inequalities be tested via scattering cross-section at colliders ?

Song Li·Wei Shen·Jin Min Yang
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Abstract

In current studies for testing Bell inequalities at colliders, the reconstruction of spin correlations from scattering cross-sections relies on the bilinear form of the spin correlations, but not all local hidden variable models (LHVMs) have such a property. To demonstrate that a general LHVM cannot be rule out via scattering cross-section data, we propose a specific LHVM, which can exactly duplicate the same scattering cross-section for particle production and decay as the standard quantum theory, making it indistinguishable at colliders in principle. Despite of this, we find that reconstructing spin correlations through scattering cross-sections can still exclude a broad class of LHVMs, e.g., those models employing classical spin correlations as a surrogate for quantum spin correlations.

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Song Li, Wei Shen, Jin Min Yang. 2024-01-02. Can Bell inequalities be tested via scattering cross-section at colliders ?. https://arxiv.org/abs/2401.01162

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