Consequences of Minimal Entanglement in Bosonic Field Theories

Abstract

In this paper, we study a recently discovered connection between scattering that minimally entangles and emergent symmetries. In a perturbative expansion, we have generalized the constraints of minimal entanglement scattering, beyond qubits, to general qudits of dimension $d.$ Interestingly, projecting on any qubit subspaces, the constraints factorize, so that it is consistent to analyze minimal entanglement by looking at all such subspaces. We start by looking at toy models with two scalar fields, finding that minimal entanglement only allows quartic couplings which have instabilities at large field values and no symmetries. For the two Higgs doublet model, by considering $H^{+}{H}^{-}\to H^{+}{H}^{-}$ scattering, we show that minimal entanglement in this channel does not allow an interacting parameter point with enhanced symmetries. These results show that the connection between minimal entanglement and symmetries depends strongly on the scattering channels analyzed and we speculate on the potential resolutions.

arXiv commentv3, 19 pages. Published in PRD, corrected formulas for integrated "partial-wave" amplitudes, conclusions unchanged

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Cited by in corpus (5)

• Emergent symmetry in a two-Higgs-doublet model from quantum information and nonstabiliserness
• Three-Body Non-Locality in Particle Decays
• Qubit entanglement from forward scattering
• Scattering Entanglement Entropy and Its Implications for Electroweak Phase Transitions
• Parameter Inference from Final-State Entanglement in Higgs Decays