Higgs Scattering and Entanglement in SMEFT
Abstract
We regard the weak isospin of the Higgs doublet as a qubit and classify the entanglement measures for the Higgs scattering in the Standard Model Effective Field Theories (SMEFT) and their Ultra-Violet complete models. We consider Higgs scattering in the unbroken phase for electroweak symmetry. Treating the final state as a momentum-isospin bipartite system, we obtain von Neumann and linear entropies to quantify momentum-isospin correlation. From the momentum reduced state, we calculate the concurrence, which measures the entanglement between the two isospins. Both quantities are set by the isospin singlet and triplet scattering amplitudes, and hence by the Wilson coefficients of the dimension-6 and dimension-8 Higgs operators. We find that the von Neumann entropy grows as a function of the total energy in SMEFT as compared to the SM case, but it undergoes a cancellation in the medium energy below the cut-off scale due to the interference effects between the dimension-4 and dimension-8 operators, in particular, when the effective interactions stem dominantly from a massive graviton. Assuming the dominance of dimension-8 operators, we find the conditions for entanglement suppression in the forward or backward scatterings or across all the kinematics. We also show the correlations between the entanglement suppression and the positivity bounds in the forward limit.
Related
- SMEFT Constraints via Quantum Entanglement in Portal-Mediated Scattering
- Higgs boson pair production in SMEFT: shape and truncation studies
- Impact of NLO EW and QCD corrections to dimension-6 SMEFT coefficients constraints in Higgs decays
- SMEFT Constraints on Top Electroweak Couplings and a Composite Higgs Interpretation
- Three-loop QCD corrections to scattering amplitudes of a Higgs boson and three partons
BibTeX
@misc{lee2026higgs,
title = {{Higgs Scattering and Entanglement in SMEFT}},
author = {Hyun Min Lee and Rojalin Padhan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.25233},
eprint = {2606.25233},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.25233},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Higgs Scattering and Entanglement in SMEFT
AU - Hyun Min Lee
AU - Rojalin Padhan
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2606.25233
UR - https://arxiv.org/abs/2606.25233
AB - We regard the weak isospin of the Higgs doublet as a qubit and classify the entanglement measures for the Higgs scattering in the Standard Model Effective Field Theories (SMEFT) and their Ultra-Violet complete models. We consider Higgs scattering in the unbroken phase for electroweak symmetry. Treating the final state as a momentum-isospin bipartite system, we obtain von Neumann and linear entropies to quantify momentum-isospin correlation. From the momentum reduced state, we calculate the concurrence, which measures the entanglement between the two isospins. Both quantities are set by the isospin singlet and triplet scattering amplitudes, and hence by the Wilson coefficients of the dimension-6 and dimension-8 Higgs operators. We find that the von Neumann entropy grows as a function of the total energy in SMEFT as compared to the SM case, but it undergoes a cancellation in the medium energy below the cut-off scale due to the interference effects between the dimension-4 and dimension-8 operators, in particular, when the effective interactions stem dominantly from a massive graviton. Assuming the dominance of dimension-8 operators, we find the conditions for entanglement suppression in the forward or backward scatterings or across all the kinematics. We also show the correlations between the entanglement suppression and the positivity bounds in the forward limit.
ER -