https://doi.org/10.1140/epjp/s13360-023-04784-7
Regular Article
Exploring Bell inequalities and quantum entanglement in vector boson scattering
IFLP, CONICET - Dpto. de Física, Universidad Nacional de La Plata, C.C. 67, 1900, La Plata, Argentina
a
roberto.morales@fisica.unlp.edu.ar
Received:
1
September
2023
Accepted:
11
December
2023
Published online:
29
December
2023
Quantum properties of vector boson scattering 
, related to entanglement and violation of Bell inequalities, are explored in this paper. The analysis is based on the construction of the polarization density matrix associated with the final state 
by means of the computation of the corresponding tree level amplitudes within the Standard model. The aim of this work is to determine the regions of the phase space where the final vector bosons after the scattering result entangled and if is it possible to test the Bell inequalities in those regions. We found that in all cases the entanglement is present. The amount of it depends on the process and the maximally entangled state is reached in some particular channels. Concerning the Bell inequality, it could be also tested in certain kinematical regions for some of these processes. This work is a first step in the analysis of these quantum properties for this kind of processes, and it is postponed for future studies the reconstruction of the polarization density matrix and the related quantum parameters from experimental data through Monte Carlo simulations using quantum tomography techniques.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
