https://doi.org/10.1140/epjc/s10052-023-12216-0
Regular Article - Theoretical Physics
Entanglement and Bell inequalities violation in 
with anomalous coupling
1
Instituto de Física Teórica, IFT-UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain
2
Department of Theoretical Physics, University of Łódź, Pomorska 149/153, 90-236, Lodz, Poland
Received:
4
September
2023
Accepted:
2
November
2023
Published online:
17
November
2023
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.
© The Author(s) 2023
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