Three-Body Non-Locality in Particle Decays

• URL: http://arxiv.org/abs/2502.19470v1
• Date: Wed, 26 Feb 2025 19:00:00 GMT
• Title: Three-Body Non-Locality in Particle Decays
• Authors: Paweł Horodecki, Kazuki Sakurai, Abhyoudai S. Shaleena, Michael Spannowsky,
• Abstract summary: We examine non-local correlations among three massless spin-1/2 particles generated from the three-body decay of a massive particle.<n>By analyzing several inequalities, we address the detection of deviations from quantum mechanics as well as violations of two key hidden variable theories.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The exploration of entanglement and Bell non-locality among multi-particle quantum systems offers a profound avenue for testing and understanding the limits of quantum mechanics and local real hidden variable theories. In this work, we examine non-local correlations among three massless spin-1/2 particles generated from the three-body decay of a massive particle, utilizing a framework based on general four-fermion interactions. By analyzing several inequalities, we address the detection of deviations from quantum mechanics as well as violations of two key hidden variable theories: fully local-real and bipartite local-real theories. Our approach encompasses the standard Mermin inequality and the tight $4 \times 4 \times 2$ inequality introduced by Laskowski et al., providing a comprehensive framework for probing three-partite non-local correlations. Our findings provide deeper insights into the boundaries of classical and quantum theories in three-particle systems, advancing the understanding of non-locality in particle decays and its relevance to particle physics and quantum foundations.

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