Complete Classification of Domain Wall Solutions in the $\mathbb{Z}_2$-symmetric 2HDM

Fuente: arXiv
Enregistré dans:
Détails bibliographiques
Auteurs principaux: Battye, Richard A., Cotterill, Steven J., Thomasson, Adam K.
Format: Preprint
Publié: 2025
Sujets:
Accès en ligne:
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
_version_ 1866917126846021632
author Battye, Richard A.
Cotterill, Steven J.
Thomasson, Adam K.
author_facet Battye, Richard A.
Cotterill, Steven J.
Thomasson, Adam K.
contents We present a complete classification of domain wall solutions in the two-Higgs Doublet Model (2HDM) with a global $\mathbb{Z}_2$ symmetry, categorised as superconducting, CP-violating, or neither, depending on the scalar particle masses and the ratio of the two Higgs doublets' vacuum expectation values. We demonstrate that any domain wall solution can be reduced to depend on only six of the eight general field components, with further field reductions possible within different regions of the parameter space. Furthermore, we show that the superconducting solutions can be used to construct stable, current-carrying domain walls in two spatial dimensions. Similarly, the CP-violating solutions allow for two-dimensional configurations where CP symmetry is locally broken on the $\mathbb{Z}_2$-symmetric wall, which could provide an out-of-equilibrium environment for CP-violating processes to occur.
format Preprint
id arxiv_https___arxiv_org_abs_2509_23332
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Complete Classification of Domain Wall Solutions in the $\mathbb{Z}_2$-symmetric 2HDM
Battye, Richard A.
Cotterill, Steven J.
Thomasson, Adam K.
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
We present a complete classification of domain wall solutions in the two-Higgs Doublet Model (2HDM) with a global $\mathbb{Z}_2$ symmetry, categorised as superconducting, CP-violating, or neither, depending on the scalar particle masses and the ratio of the two Higgs doublets' vacuum expectation values. We demonstrate that any domain wall solution can be reduced to depend on only six of the eight general field components, with further field reductions possible within different regions of the parameter space. Furthermore, we show that the superconducting solutions can be used to construct stable, current-carrying domain walls in two spatial dimensions. Similarly, the CP-violating solutions allow for two-dimensional configurations where CP symmetry is locally broken on the $\mathbb{Z}_2$-symmetric wall, which could provide an out-of-equilibrium environment for CP-violating processes to occur.
title Complete Classification of Domain Wall Solutions in the $\mathbb{Z}_2$-symmetric 2HDM
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
url https://arxiv.org/abs/2509.23332