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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | https://arxiv.org/abs/2605.19754 |
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| _version_ | 1866914580410662912 |
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| author | Croft, Vincent Alexander Voelz, Lennart Vak, Andrii Sopczak, Andre Burgard, Carsten |
| author_facet | Croft, Vincent Alexander Voelz, Lennart Vak, Andrii Sopczak, Andre Burgard, Carsten |
| contents | We present a novel experimental strategy for testing quantum entanglement in Higgs boson decays to $W$ boson pairs at the Large Hadron Collider. Unlike theoretical approaches that rely on expectation values of Bell operators, which are highly sensitive to outliers and detector effects, we introduce a continuous formulation of the CGLMP inequality that enables standard hypothesis testing between entangled and separable states. To overcome the fundamental challenge of reconstructing invisible neutrino momenta in the $H \rightarrow WW^* \rightarrow \ellν\ellν$ channel, we employ conditional denoising diffusion probabilistic models (cDDPM), which provide unbiased, multidimensional unfolding applicable to the full measured dataset, including backgrounds. We evaluate the diffusion-based reconstruction against analytical methods through profile likelihood hypothesis tests implemented in RooFit, with systematic uncertainties from background normalisation and unfolding shape fully propagated. Our results demonstrate that the diffusion-based approach enables robust hypothesis testing of quantum entanglement in a realistic collider environment, with 3$σ$ evidence of quantum entanglement projected at approximately 555~fb$^{-1}$ and exceeding 5$σ$ at 1600~fb$^{-1}$ to be well within the expected limits of the HL-LHC luminosity targets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19754 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hypothesis Tests for Observing Quantum Entanglement in HWW at the LHC Croft, Vincent Alexander Voelz, Lennart Vak, Andrii Sopczak, Andre Burgard, Carsten High Energy Physics - Experiment We present a novel experimental strategy for testing quantum entanglement in Higgs boson decays to $W$ boson pairs at the Large Hadron Collider. Unlike theoretical approaches that rely on expectation values of Bell operators, which are highly sensitive to outliers and detector effects, we introduce a continuous formulation of the CGLMP inequality that enables standard hypothesis testing between entangled and separable states. To overcome the fundamental challenge of reconstructing invisible neutrino momenta in the $H \rightarrow WW^* \rightarrow \ellν\ellν$ channel, we employ conditional denoising diffusion probabilistic models (cDDPM), which provide unbiased, multidimensional unfolding applicable to the full measured dataset, including backgrounds. We evaluate the diffusion-based reconstruction against analytical methods through profile likelihood hypothesis tests implemented in RooFit, with systematic uncertainties from background normalisation and unfolding shape fully propagated. Our results demonstrate that the diffusion-based approach enables robust hypothesis testing of quantum entanglement in a realistic collider environment, with 3$σ$ evidence of quantum entanglement projected at approximately 555~fb$^{-1}$ and exceeding 5$σ$ at 1600~fb$^{-1}$ to be well within the expected limits of the HL-LHC luminosity targets. |
| title | Hypothesis Tests for Observing Quantum Entanglement in HWW at the LHC |
| topic | High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2605.19754 |