Testing entanglement and Bell inequalities in $H \to ZZ$
Abstract
We discuss quantum entanglement and violation of Bell inequalities in the decay, in particular when the two 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 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 entanglement can be probed at level. For (HL-LHC) entanglement can be probed beyond the level, while the sensitivity to a violation of the Bell inequalities is at the level
Keywords
Cite
@article{arxiv.2209.13441,
title = {Testing entanglement and Bell inequalities in $H \to ZZ$},
author = {J. A. Aguilar-Saavedra and A. Bernal and J. A. Casas and J. M. Moreno},
journal= {arXiv preprint arXiv:2209.13441},
year = {2023}
}