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PreprintarXiv licencearXiv

Limitations of quantum tomography in Higgs-boson decays to four leptons

Abstract

We investigate the limitations of the two-qutrit quantum tomography in Higgs-boson decays to four charged leptons. At next-to-leading order, the standard reconstruction can yield an operator that is not positive semidefinite, even when radiatively improved spin-analysing powers are used. We trace this failure to the coherent combination of photon- and Z-mediated contributions to the off-shell dilepton system, whose distinct production and decay structures invalidate the assumed universal decay analysers. Nevertheless, the rank-two angular sector remains accessible and perturbatively stable, enabling a robust lower bound on the squared concurrence, and hence a reliable assessment of entanglement beyond leading order.

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BibTeX
@misc{gratta2026limitations,
  title = {{Limitations of quantum tomography in Higgs-boson decays to four leptons}},
  author = {Morgan Del Gratta and Fabio Maltoni and Davide Pagani and Giovanni Pelliccioli},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25217},
  eprint = {2609.25217},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25217},
}
RIS
TY  - UNPB
TI  - Limitations of quantum tomography in Higgs-boson decays to four leptons
AU  - Morgan Del Gratta
AU  - Fabio Maltoni
AU  - Davide Pagani
AU  - Giovanni Pelliccioli
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25217
UR  - https://arxiv.org/abs/2609.25217
AB  - We investigate the limitations of the two-qutrit quantum tomography in Higgs-boson decays to four charged leptons. At next-to-leading order, the standard reconstruction can yield an operator that is not positive semidefinite, even when radiatively improved spin-analysing powers are used. We trace this failure to the coherent combination of photon- and Z-mediated contributions to the off-shell dilepton system, whose distinct production and decay structures invalidate the assumed universal decay analysers. Nevertheless, the rank-two angular sector remains accessible and perturbatively stable, enabling a robust lower bound on the squared concurrence, and hence a reliable assessment of entanglement beyond leading order.
ER  -