Entanglement suppression, enhanced symmetry, and a standard-model-like Higgs boson

Journal Article · 13 March 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.109.l051901 · OSTI ID:2000992

Carena, Marcela ^[1]; Low, Ian ^[2]; Wagner, Carlos E. M. ^[3]; Xiao, Ming-Lei  ^[4]

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1. Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); University of Chicago, IL (United States). Enrico Fermi Institute; University of Chicago, IL (United States). Kavli Institute for Cosmological Physics (KICP)
2. Argonne National Laboratory (ANL), Argonne, IL (United States). High Energy Physics Division
3. University of Chicago, IL (United States). Enrico Fermi Institute; University of Chicago, IL (United States). Kavli Institute for Cosmological Physics (KICP); Argonne National Laboratory (ANL), Argonne, IL (United States). High Energy Physics Division
4. Sun Yat-Sen University, Guangzhou (China); Argonne National Laboratory (ANL), Argonne, IL (United States). High Energy Physics Division; Northwestern University, Evanston, IL (United States)

We study information-theoretic properties of scalar models containing two Higgs doublets Φ_a, where a = 1, 2 is the flavor quantum number. Considering the 2-to-2 scattering Φ_aΦ_b→ Φ_cΦ_d as a two-qubit system in the flavor subspace and the S-matrix as a quantum logic gate, we analyze the entanglement power of the S-matrix at the tree level, in the limit the gauge coupling is turned off. Demanding the suppression of flavor entanglement during the scattering, the perturbative S-matrix in the broken phase can only be in the equivalent class of the Identity gate and the scalar potential exhibits a maximally enhanced SO(8) symmetry acting on the eight real components of the two doublets. The SO(8) symmetry leads to the alignment limit naturally, giving rise to a Standard-Model-like Higgs boson as a consequence of entanglement suppression.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); Jay Jones Fund
• Grant/Contract Number: AC02-07CH11359; SC0013642; AC02-06CH11357; SC0023522
• OSTI ID: 2000992
• Alternate ID(s): OSTI ID: 2323937; OSTI ID: 2481448
• Report Number(s): FERMILAB-PUB--23-269-T; arXiv:2307.08112; oai:inspirehep.net:2677657
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 109; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English