Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ H → Z Z with anomalous coupling

Abstract We discuss entanglement and violation of Bell-type inequalities for a system of two Z bosons produced in Higgs decays. We take into account beyond the Standard Model (anomalous) coupling between H and daughter bosons but we limit ourselves to an overall scalar ZZ state (we exclude the possi...

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Main Authors: Alexander Bernal, Paweł Caban, Jakub Rembieliński
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12216-0
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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 violation of Bell-type inequalities for a system of two Z bosons produced in Higgs decays. We take into account beyond the Standard Model (anomalous) coupling between H and daughter bosons but we limit ourselves to an overall scalar ZZ state (we exclude the possibility that H contains a pseudo-scalar component). In particular we consider the case when each Z decays further into fermion-antifermion pair. We find that the ZZ state is entangled and violates the CGLMP inequality for all values of the (anomalous) coupling constant. We also discuss the impact of a background on these results. The methods we develop are completely general, since they can be extrapolated to any scalar particle decaying into two spin-1 particles of different masses. Moreover, the violation of the CGLMP inequality in the final state is theoretically ensured for any value of the couplings.
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spelling doaj.art-b0a32e958ff9446dbbdb977c0203eeb62024-03-31T11:29:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-11-01831111110.1140/epjc/s10052-023-12216-0Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ H → Z Z with anomalous couplingAlexander 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 violation of Bell-type inequalities for a system of two Z bosons produced in Higgs decays. We take into account beyond the Standard Model (anomalous) coupling between H and daughter bosons but we limit ourselves to an overall scalar ZZ state (we exclude the possibility that H contains a pseudo-scalar component). In particular we consider the case when each Z decays further into fermion-antifermion pair. We find that the ZZ state is entangled and violates the CGLMP inequality for all values of the (anomalous) coupling constant. We also discuss the impact of a background on these results. The methods we develop are completely general, since they can be extrapolated to any scalar particle decaying into two spin-1 particles of different masses. Moreover, the violation of the CGLMP inequality in the final state is theoretically ensured for any value of the couplings.https://doi.org/10.1140/epjc/s10052-023-12216-0
spellingShingle Alexander Bernal
Paweł Caban
Jakub Rembieliński
Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ H → Z Z with anomalous coupling
European Physical Journal C: Particles and Fields
title Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ H → Z Z with anomalous coupling
title_full Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ H → Z Z with anomalous coupling
title_fullStr Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ H → Z Z with anomalous coupling
title_full_unstemmed Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ H → Z Z with anomalous coupling
title_short Entanglement and Bell inequalities violation in $$H\rightarrow ZZ$$ H → Z Z with anomalous coupling
title_sort entanglement and bell inequalities violation in h rightarrow zz h z z with anomalous coupling
url https://doi.org/10.1140/epjc/s10052-023-12216-0
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