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

• URL: http://arxiv.org/abs/2401.01162v3
• Date: Thu, 4 Jul 2024 15:06:55 GMT
• Title: Can Bell inequalities be tested via scattering cross-section at colliders ?
• Authors: Song Li, Wei Shen, Jin Min Yang,
• Abstract summary: We propose a specific LHVM that can duplicate the same scattering cross-section for particle production and decay as the standard quantum theory. We find that reconstructing spin correlations through scattering cross-sections can still exclude a broad class of LHVMs.
• Score: 10.45521301509479
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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