Charged and CP-violating Kink Solutions in the Two Higgs Doublet Model

2021/10/31 by Kai Hong Law, Apostolos Pilaftsis · 10 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Cosmology and Gravitation Theories #Domain (mathematical analysis) #Geometry #Higgs boson #Homogeneous space #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #hep-ph #hep-th

paper · pdf · open access · doi:10.1103/physrevd.105.056007

published in Physical review. D/Physical review. D. 105(5) (American Physical Society) · 23 pages, 4 figures, references added, to appear in Physical Review D

openalex created_date 2021/11/08 · arxiv created 2022/02/25 · openalex publication_date 2022/03/08 · arxiv updated 2022/03/23 · openalex updated_date 2026/08/05

Abstract

Minimal extensions of the Standard Model (SM), such as the so-called Two Higgs Doublet Model (2HDM), can possess several accidental discrete symmetries whose spontaneous breakdown in the early universe usually lead to the formation of domain walls. We extend an earlier work [arXiv:2006.13273] on this topic by studying in more detail the analytic properties of electrically charged and CP-violating kink solutions in the Z₂-symmetric 2HDM. We derive the complete set of equations of motion that describe the 1D spatial profile of both the 2HDM vacuum parameters and the would-be Goldstone bosons G^1,2,3 of the SM. These equations are then solved numerically using the gradient flow technique, and the results of our analysis are presented in different parametrizations of the Higgs doublets. In particular, we show analytically how an electrically charged profile should arise in 1D kink solutions when asymmetric boundary conditions are imposed on the Goldstone mode G² at spatial infinities, i.e. as x→ ± ∞. If asymmetric boundary conditions are selected at x→ ± ∞ for the Goldstone mode G³ or the longitudinal mode θ corresponding to a would-be massive photon, the derived kink solutions are then shown to exhibit CP violation. Possible cosmological implications of the electrically charged and CP-violating domain walls in the 2HDM are discussed.

Citations

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