Scattering Entanglement Entropy and Its Implications for Electroweak Phase Transitions

Abstract

We investigate the connection between the entanglement entropy in scattering processes and the dynamics of electroweak phase transitions. Recent work has shown that the scattering entanglement entropy can provide new insight into Standard Model parameters. In this study, we propose that the maximum of the entanglement entropy in scattering amplitudes may serve as a diagnostic for first-order electroweak phase transitions in the early universe. We analyze a simplified extension of the Standard Model consisting of the Higgs boson $h$ coupled to $O(N)$ real singlet scalars $S$ via the Higgs portal coupling ${\lambda }_{hS}$. By explicitly calculating the maximum entanglement entropy, we demonstrate that it grows with increasing ${\lambda }_{hS}$, and that both first-order and strong first-order electroweak phase transitions are favored in regions of parameter space with large maximum entropy. Our results suggest that entanglement-based observables may encode meaningful information about the underlying dynamics of electroweak symmetry breaking and provide a novel perspective on phase transition phenomena.

26 pages, 6 figures, minor corrections, acknowledgement and references added

References in corpus (25)

• Entanglement as a Probe of Confinement
• First Dark Matter Search with Nuclear Recoils from the XENONnT Experiment
• The Sphaleron Rate in the Minimal Standard Model
• Dark Matter Search Results from 4.2 Tonne-Years of Exposure of the LUX-ZEPLIN (LZ) Experiment
• What is the Criterion for a Strong First Order Electroweak Phase Transition in Singlet Models?
• Dark Matter Search Results from 1.54 Tonne$\cdot$Year Exposure of PandaX-4T
• Improved sphaleron decoupling condition and the Higgs coupling constants in the real singlet-extended SM
• Electroweak phase transition, critical bubbles and sphaleron decoupling condition in the MSSM
• Electroweak Baryogenesis with Lepton Flavor Violation
• Yukawa and Tri-scalar Processes in Electroweak Baryogenesis
• Variation of Entanglement Entropy in Scattering Process
• Minimal Entanglement and Emergent Symmetries in Low-energy QCD
• Tree-level entanglement in Quantum Electrodynamics
• Entanglement generation in few-nucleon scattering
• Entanglement in flavored scalar scattering
• New benchmark scenarios of electroweak baryogenesis in aligned two Higgs double models
• Hints of Entanglement Suppression in Hyperon-Nucleon Scattering
• Electroweak phase transition in the nearly aligned Higgs effective field theory
• Sphalerons and the Electroweak Phase Transition in Models with Higher Scalar Representations
• Entanglement Entropy in Scalar Quantum Electrodynamics
• Entanglement suppression and low-energy scattering of heavy mesons
• Consequences of Minimal Entanglement in Bosonic Field Theories
• Entanglement Entropy and Thermal Phase Transitions from Curvature Singularities
• Electroweak baryogenesis between broken phases in multi-step phase transition
• Electroweak baryogenesis in the three-loop neutrino mass model with dark matter

Cited by in corpus (1)

• Parameter Inference from Final-State Entanglement in Higgs Decays