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

TL;DR

This paper explores how suppressing flavor entanglement in two-Higgs-doublet models naturally leads to an enhanced SO(8) symmetry and results in a Standard-Model-like Higgs boson, linking quantum information concepts with particle physics.

Contribution

It demonstrates that entanglement suppression constrains the scalar potential to an SO(8) symmetric form, naturally producing a Higgs boson similar to that in the Standard Model.

Findings

Suppression of flavor entanglement restricts the S-matrix to the identity class.

Enhanced SO(8) symmetry emerges in the scalar potential.

The model naturally achieves the Higgs alignment limit.

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.