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arXiv · 2307.08112

Entanglement Suppression, Enhanced Symmetry and a Standard-Model-like Higgs Boson

Marcela Carena·Ian Low·Carlos E. M. Wagner·Ming-Lei Xiao
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Abstract

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.

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Marcela Carena, Ian Low, Carlos E. M. Wagner, Ming-Lei Xiao. 2023-07-16. Entanglement Suppression, Enhanced Symmetry and a Standard-Model-like Higgs Boson. https://arxiv.org/abs/2307.08112

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