Topological Nambu monopole in two Higgs doublet models

DOI10.1016/J.PHYSLETB.2020.135220zbMATH Open1435.81120arXiv1904.09269OpenAlexW2999147737WikidataQ126347110 ScholiaQ126347110MaRDI QIDQ2188724

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Publication date: 11 June 2020

Published in: (Search for Journal in Brave)

Abstract: We show that a topological Nambu monopole exists as a regular solution for a large range of parameters in two Higgs doublet models, contrary to the standard model admitting only non-topological Nambu monopoles. We analyze a Higgs potential with a global $U(1)$ symmetry and a discrete symmetry $mathbb{Z}_2$. The monopole is attached by two topological $Z$ strings ($Z$ flux tubes) from both sides. Despite of a trivial second homotopy group, the discrete symmetry $mathbb{Z}_2$ together with a non-trivial first homotopy group for $Z$ strings topologically ensures the topological stability. After analytically constructing an asymptotic form of such a configuration, we explicitly construct a solution of the equation of motion based on a 3D numerical simulation, in which magnetic fluxes spherically emanating from the monopole at large distances are deformed in the vicinity of the monopole. Since the monopoles are expected to be abundant in the present universe, they might be observed in the current monopole searches.

Full work available at URL: https://arxiv.org/abs/1904.09269

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