Entanglement Suppression, Enhanced Symmetry and a Standard-Model-like Higgs Boson
Autor: | Carena, Marcela, Low, Ian, Wagner, Carlos E. M., Xiao, Ming-Lei |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We study information-theoretic properties of scalar models containing two Higgs doublets $\Phi_a$, where $a=1,2$ is the flavor quantum number. Considering the 2-to-2 scattering $\Phi_a \Phi_b \to \Phi_c \Phi_d$ 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 8 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. Comment: 8 pages, 1 figure |
Databáze: | arXiv |
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