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Tripartite entanglement in H → Z Z , W W decays

2024/06/21 by J. A. Aguilar-Saavedra, J. A. Aguilar–Saavedra · 21 citations
Mathematics · Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Mathematics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.1103/physrevd.109.113004

published in Physical review. D/Physical review. D. 109(11) (American Physical Society)

openalex publication_date 2024/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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

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