SMEFT Constraints via Quantum Entanglement in Portal-Mediated Scattering

We study Standard Model Effective Field Theory (SMEFT) extensions in portal-mediated scattering processes from the perspective of quantum entanglement. Quantum information metrics maintain phase-sensitive spin and momentum correlations, whereas conventional collider and direct detection observables mainly depend on unpolarized cross-sections and event rates, which often suppress dimension-six interference terms or average over internal degrees of freedom. We assess linear and Von Neumann entropy fluctuations induced by higher-dimensional operator insertions by building final-state density matrices using helicity amplitudes. By avoiding conventional kinematic degeneracies, our formulation shows that entanglement measures capture interference contributions linearly in $1\mathrm{/}{\mathrm{\Lambda }}^2$, offering improved sensitivity to new physics scales. A theoretical framework for SMEFT Wilson coefficients is established by this information-theoretic method, creating new opportunities for accurate tests of fundamental interactions in high-energy and astroparticle physics.