Abstract
We study information-theoretic properties of scalar models containing two Higgs doublets φa, where a=1, 2 is the flavor quantum number. Considering the 2-to-2 scattering φaφb→φcφd 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.
| Original language | English (US) |
|---|---|
| Article number | L051901 |
| Journal | Physical Review D |
| Volume | 109 |
| Issue number | 5 |
| DOIs | |
| State | Published - Mar 1 2024 |
Funding
We thank R. Aoude and M. Savage for comments on the manuscript. Fermilab is operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy. C. W. is supported in part by the U.S. Department of Energy Grant No. DE-SC0013642. Work at Argonne is supported in part by the U.S. Department of Energy under Contract No. DE-AC02-06CH11357. I. L. is supported in part by the U.S. Department of Energy Grant No. DE-SC0023522. M.-L. X. is supported in part by the Jay Jones Fund in the Department of Physics and Astronomy at Northwestern University.
ASJC Scopus subject areas
- Nuclear and High Energy Physics