Scattering Entanglement Entropy and Its Implications for Electroweak Phase Transitions

Kavli Affiliate: Jia Liu

| First 5 Authors: Jia Liu, Masanori Tanaka, Xiao-Ping Wang, Jing-Jun Zhang, Zifan Zheng

| Summary:

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.

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