2024/06/21 by J. A. Aguilar-Saavedra, J. A. Aguilar–Saavedra · 3 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Dark Matter and Cosmic Phenomena
paper · pdf · doi:10.1103/physrevd.109.113004
The decays of the Higgs boson produce a state in which the spins of the decay products and the orbital angular momentum (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>L</a:mi></a:math>) are highly entangled. We obtain the tripartite density operator, as well as reduced operators, for the decay into two weak bosons. For <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>H</c:mi><c:mo stretchy="false">→</c:mo><c:mi>Z</c:mi><c:mi>Z</c:mi></c:math> in the four-lepton final state we also estimate the statistical sensitivity at the Large Hadron Collider and future upgrades, using a binned method to reconstruct the density operators from distributions. With the expected Run 3 data, establishing genuine tripartite entanglement would be possible beyond the <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mn>5</f:mn><f:mi>σ</f:mi></f:math> level. The violation of Bell inequalities involving the spins of the two weak bosons could also be established beyond the <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mn>5</h:mn><h:mi>σ</h:mi></h:math> level. Published by the American Physical Society 2024