On the Charged and CPviolating Kink Solutions in the Two Higgs Doublet Model
Abstract
Minimal extensions of the Standard Model (SM), such as the socalled 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 CPviolating kink solutions in the $Z_{2}$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 wouldbe 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 $G^{2}$ at spatial infinities, i.e. as ${x\to \pm \infty}$. If asymmetric boundary conditions are selected at ${x\to \pm \infty}$ for the Goldstone mode $G^{3}$ or the longitudinal mode $\theta$ corresponding to a wouldbe massive photon, the derived kink solutions are then shown to exhibit CP violation. Possible cosmological implications of the electrically charged and CPviolating domain walls in the 2HDM are discussed.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.12550
 Bibcode:
 2021arXiv211012550L
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 23 pages, 4 figures