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Testing Bell inequalities in Higgs boson decays
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abstract
Higgs boson decays produce pairs of $W$ bosons in a maximally entangled state, the spins of which can be expected to violate Bell inequalities. We show that the spin density matrix of the $W^\pm$ pair may be reconstructed experimentally from the directions of the charged lepton decay products, and from it the expectation values of various Bell operators determined. Numerical simulations of $H\rightarrow WW^*$ decays indicate that violation of a generalised CHSH inequality is unlikely to be measurable, however the CGLMP inequality is near-maximally violated. Experimental Bell tests could be performed at a variety of colliders and in different production channels. If reconstruction effects and backgrounds can be controlled then statistically significant violations could be observable even with datasets comparable to those already collected at the LHC.
Forward citations
Cited by 7 Pith papers
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Qubit-qubit-qutrit quantum correlations in $H \to f \bar f V$
In h→τ^-τ^+ Z decays, the spin state is genuinely qubit-qubit-qutrit entangled almost everywhere, violates Bell inequalities throughout, and carries up to 1.95 bits of non-local magic.
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Experimental prospects for quantum decoherence measurements at colliders
Hard final-state radiation measurably destroys the spin entanglement of fermion-antifermion pairs, and the effect should already be visible in LHC ttbar+jet and Belle II tau+tau-gamma data.
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Quantum Tomography and Entanglement in Semi-Leptonic $h\to VV^*$ Decays at Higher Orders
Semi-leptonic h→VV* decays retain an effective two-qutrit quantum description under NLO QCD and electroweak corrections, unlike the fully leptonic h→4ℓ channel.
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Parameter Inference from Final-State Entanglement in Higgs Decays
With a spin/color-weighted entanglement entropy built from Higgs branching ratios, the Standard Model Higgs and W masses sit near the global maximum, and the preferred coupling ratio is SM-like.
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Quantum Tomography in Neutral Meson and Antimeson Systems
The complete flavor density matrix of a neutral meson-antimeson pair can be reconstructed from time-dependent semileptonic decay rates, with B_s^0 and K^0 the most favorable systems.
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Quantum spin correlations in $Z^\prime$-mediated $t\bar{t}$ production at future lepton colliders
Quantum spin observables of t-bar-t pairs at future lepton colliders can distinguish chiral U(1)_X Z′ charge assignments, and polarized e−e+ beams isolate left- vs right-handed lepton couplings.
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Colliders are Testing neither Locality via Bell's Inequality nor Entanglement versus Non-Entanglement
Collider measurements of final-state momenta alone cannot certify Bell nonlocality or entanglement, because the measured angular distribution is itself a local hidden variable model.
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