Emergent symmetry in a two-Higgs-doublet model from quantum information and nonstabilizerness

dc.contributor.authorBusoni, G.
dc.contributor.authorGargalionis, J.
dc.contributor.authorWallace, E.N.V.
dc.contributor.authorWhite, M.J.
dc.date.issued2025
dc.description.abstractStudies of scattering processes in scalar models with two Higgs doublets have recently hinted at a connection between the absence of flavor-space entanglement in Φ⁺Φ⁰ scattering and an emergent SO(8) symmetry in the scalar potential. We extend the analysis to all scattering channels with two particles in the external states by treating the process as a four-qubit system in the weak isospin and flavor subspaces of the two-particle state. We work with a generic quantum-information-theoretic principle encoded by the commutativity of the initial-state density matrix with the transition matrix (at leading order in perturbation theory). This yields a special case of the entanglement minimization conditions previously derived in the literature, and we interpret the principle in terms of the conservation of nonstabilizerness (or “magic”). Working at leading order in the quartic couplings, we find a consistent set of conditions that implies an SO(8) symmetry on the quartic part of the potential for scattering an arbitrary initial state but a smaller SU(2)(R) symmetry when the initial state is chosen to have definite isospin. This follows by accounting for Bose symmetry in the initial state, which introduces entanglement between the isospin and flavor subspaces.
dc.description.statementofresponsibilityGiorgio Busoni, John Gargalionis, Ewan N. V. Wallace, and Martin J. White
dc.identifier.citationPhysical Review D, 2025; 112(3):035022-1-035022-9
dc.identifier.doi10.1103/r5ps-pmh3
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029
dc.identifier.orcidBusoni, G. [0000-0002-8527-0768]
dc.identifier.orcidWallace, E.N.V. [0009-0000-9092-8029]
dc.identifier.orcidWhite, M.J. [0000-0001-5474-4580]
dc.identifier.urihttps://hdl.handle.net/2440/148084
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.granthttp://purl.org/au-research/grants/arc/CE200100008
dc.relation.granthttp://purl.org/au-research/grants/arc/DP220100007
dc.rightsPublished by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3
dc.source.urihttps://doi.org/10.1103/r5ps-pmh3
dc.subjectExtensions of Higgs sector; Extensions of scalar sector; Quantum information theory
dc.titleEmergent symmetry in a two-Higgs-doublet model from quantum information and nonstabilizerness
dc.typeJournal article
pubs.publication-statusPublished online

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