Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles

Abstract We discuss entanglement and the violation of the Collins–Gisin–Linden–Massar–Popescu (CGLMP) inequality in a system of two vector bosons produced in the decay of a spin-0 particle. We assume the most general CPT conserving, Lorentz- invariant coupling of the spin-0 particle with the daughte...

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Main Authors: Alexander Bernal, Paweł Caban, Jakub Rembieliński
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-07747-3
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author Alexander Bernal
Paweł Caban
Jakub Rembieliński
author_facet Alexander Bernal
Paweł Caban
Jakub Rembieliński
author_sort Alexander Bernal
collection DOAJ
description Abstract We discuss entanglement and the violation of the Collins–Gisin–Linden–Massar–Popescu (CGLMP) inequality in a system of two vector bosons produced in the decay of a spin-0 particle. We assume the most general CPT conserving, Lorentz- invariant coupling of the spin-0 particle with the daughter bosons. We compute the most general two-boson density matrix obtained by averaging over kinematical configurations with an appropriate probability distribution (which can be obtained when both bosons subsequently decay into fermion–antifermion). We show that the two-boson state is entangled and violates the CGLMP inequality for all values of the (anomalous) coupling constants and that in this case the state is entangled iff it can violate the CGLMP inequality. As an exemplary process of this kind we use the decay $$H\rightarrow ZZ$$ with anomalous coupling.
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spelling doaj-art-6a57b3b60a854bef9da4618f27313c8b2025-08-20T04:01:35ZengNature PortfolioScientific Reports2045-23222025-07-0115111310.1038/s41598-025-07747-3Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particlesAlexander Bernal0Paweł Caban1Jakub Rembieliński2Instituto de Física Teórica, IFT-UAM/CSIC, Universidad Autónoma de MadridDepartment of Theoretical Physics, University of ŁódźDepartment of Theoretical Physics, University of ŁódźAbstract We discuss entanglement and the violation of the Collins–Gisin–Linden–Massar–Popescu (CGLMP) inequality in a system of two vector bosons produced in the decay of a spin-0 particle. We assume the most general CPT conserving, Lorentz- invariant coupling of the spin-0 particle with the daughter bosons. We compute the most general two-boson density matrix obtained by averaging over kinematical configurations with an appropriate probability distribution (which can be obtained when both bosons subsequently decay into fermion–antifermion). We show that the two-boson state is entangled and violates the CGLMP inequality for all values of the (anomalous) coupling constants and that in this case the state is entangled iff it can violate the CGLMP inequality. As an exemplary process of this kind we use the decay $$H\rightarrow ZZ$$ with anomalous coupling.https://doi.org/10.1038/s41598-025-07747-3
spellingShingle Alexander Bernal
Paweł Caban
Jakub Rembieliński
Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
Scientific Reports
title Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
title_full Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
title_fullStr Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
title_full_unstemmed Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
title_short Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles
title_sort entanglement and bell inequality violation in vector diboson systems produced in decays of spin 0 particles
url https://doi.org/10.1038/s41598-025-07747-3
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