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arXiv · 2309.04400

Global monopoles in the two-Higgs-doublet-model

Richard A. Battye·Steven J. Cotterill·Dominic G. Viatic
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Abstract

We discuss monopoles formed due to the spontaneous breakdown of a global $SO(3)_{\rm HF}$ symmetry within the global two-Higgs doublet model. We explain that the Higgs sector dynamics can be described in terms of two vectors one of which is null, $R^A=(R^0,R^a,R^4,R^5)$ for $a=1,2,3$, with 5 independent components describing the Higgs family symmetry and another, $n^a$, with 3 independent components related to the ``would-be'' Goldstone bosons. When formed from random initial conditions we find that monopoles are formed with a charged vacuum in the centre which couples the two fields together. We find a spherical symmetric solution which is an approximately uniform, unit winding of the sphere in both the $R^a$ and $n^a$ vectors. These global monopoles are closely related to the Nambu monopole. The additional complexity and structure contained in these monopoles does not appear to prevent the scaling of their density.

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Richard A. Battye, Steven J. Cotterill, Dominic G. Viatic. 2023-09-08. Global monopoles in the two-Higgs-doublet-model. https://doi.org/10.1016/j.physletb.2023.138091

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