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Electroweak skyrmions in the HEFT

Criado, Juan Carlos; Khoze, Valentin V.; Spannowsky, Michael

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Juan Carlos Criado


We study the existence of skyrmions in the presence of all the electroweak degrees of freedom, including a dynamical Higgs boson, with the electroweak symmetry being non-linearly realized in the scalar sector. For this, we use the formulation of the Higgs Effective Field Theory (HEFT). In contrast with the linear realization, a well-defined winding number exists in HEFT for all scalar field configurations. We classify the effective operators that can potentially stabilize the skyrmions and numerically find the region in parameter spaces that support them. We do so by minimizing the static energy functional using neural networks. This method allows us to obtain the minimal-energy path connecting the vacuum to the skyrmion configuration and calculate its mass and radius. Since skyrmions are not expected to be produced at colliders, we explore the experimental and theoretical bounds on the operators that generate them. Finally, we briefly consider the possibility of skyrmions being dark matter candidates.


Criado, J. C., Khoze, V. V., & Spannowsky, M. (2021). Electroweak skyrmions in the HEFT. Journal of High Energy Physics, 2021(12), Article 26.

Journal Article Type Article
Acceptance Date Nov 23, 2021
Online Publication Date Dec 6, 2021
Publication Date 2021-12
Deposit Date Jan 26, 2022
Publicly Available Date Jan 27, 2022
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2021
Issue 12
Article Number 26


Published Journal Article (495 Kb)

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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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