https://doi.org/10.1140/epjc/s10052-024-13584-x
Regular Article
Can Bell inequalities be tested via scattering cross-section at colliders ?
1
School of Physics, Henan Normal University, 453007, Xinxiang, People’s Republic of China
2
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
3
School of Physics, University of Chinese Academy of Sciences, 100049, Beijing, China
a
chunglee@htu.edu.cn
b
shenwei@itp.ac.cn
Received:
4
July
2024
Accepted:
6
November
2024
Published online:
21
November
2024
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.
© The Author(s) 2024
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