### 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 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 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.

Original language | English |
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Article number | 135220 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 802 |

DOIs | |

Publication status | Published - 2020 Mar 10 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*802*, [135220]. https://doi.org/10.1016/j.physletb.2020.135220