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Bell-type inequalities for systems of relativistic vector bosons

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arxiv 2204.11063 v2 pith:HLOU564D submitted 2022-04-23 quant-ph hep-phhep-th

Alan J. Barr , Pawel Caban , Jakub Rembieliński This is my paper
classification quant-phhep-phhep-th
keywords inequalitiesscalarstatesviolatedbell-typecasecglmpchsh
verification ladder T0 review T1 audit T2 compute T3 formal
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We perform a detailed analysis of the possible violation of various Bell-type inequalities for systems of vector boson-antiboson pairs. Considering the general case of an overall scalar state of the bipartite system, we identify two distinct classes of such states, and determine the joint probabilities of spin measurement outcomes for each them. We calculate the expectation values of the CHSH, Mermin and CGLMP inequalities and find that while the generalised CHSH inequality is not expected to be violated for any of the scalar states, in the case of the Mermin and CGLMP inequalities the situation is different -- these inequalities can be violated in certain scalar states while they cannot be violated in others. Moreover, the degree of violation depends on the relative speed of the two particles.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Extracting a Toponium Signal at the LHC with Spin and Quantum Information Tools

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  3. Quantum spin correlations in $Z^\prime$-mediated $t\bar{t}$ production at future lepton colliders

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Quantum spin observables of t-bar-t pairs at future lepton colliders can distinguish chiral U(1)_X Z′ charge assignments, and polarized e−e+ beams isolate left- vs right-handed lepton couplings.

  4. Colliders are Testing neither Locality via Bell's Inequality nor Entanglement versus Non-Entanglement

    hep-ph 2025-07 conditional novelty 4.0 of 10

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