2023/01/20 by J. A. Aguilar-Saavedra, J. A. Aguilar–Saavedra, A. Bernal +5 · 10 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Mechanics and Applications #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.1103/physrevd.107.016012
We discuss quantum entanglement and violation of Bell inequalities in the H\ensuremath→ZZ decay, in particular when the two Z-bosons decay into light leptons. Although such process implies an important suppression of the statistics, this is traded by clean signals from a ``quasi maximally entangled'' system, which makes it very promising to check these crucial phenomena at high energy. In this paper we devise a novel framework to extract from H\ensuremath→ZZ data all significant information related to this goal, in particular spin correlation observables. In this context we derive sufficient and necessary conditions for entanglement in terms of only two parameters. Likewise, we obtain a sufficient and improved condition for the violation of Bell-type inequalities. The numerical analysis shows that with a luminosity of L=300 fb^\ensuremath-1 entanglement can be probed at >3\ensuremathσ level. For L=3 ab^\ensuremath-1 (HL-LHC) entanglement can be probed beyond the 5\ensuremathσ level, while the sensitivity to a violation of the Bell inequalities is at the 4.5\ensuremathσ level.