Global monopoles in the two-Higgs-doublet-model

We discuss monopoles formed due to the spontaneous breakdown of a global SO (3)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, RA = (R0, Ra, R4, R5) for a = 1, 2, 3, with 5 independent components describing the Higgs family symmetry and another, na, 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 spherically symmetric solution which is an approximately uniform, unit winding of the sphere in both the Ra and na 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.& COPY; 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

We discuss monopoles formed due to the spontaneous breakdown of a global SO (3)HF symmetry within the global two-Higgs doublet model. The Higgs sector dynamics is described by two vectors, one describing the Higgs family symmetry and the other related to the would-be Goldstone bosons. These monopoles have a charged vacuum in the center and exhibit spherically symmetric solutions. They are closely related to Nambu monopoles and their density scaling is not affected by their complexity.