Collapsing domain walls in the two-Higgs-doublet model and deep insights from the EDM

Abstract

We study the domain wall solutions in the general two-Higgs-doublet model (2HDM) with a CP-violating phase. The 2HDM with the spontaneouse CP violation is found to have domain wall solutions whose tensions are $$ \mathcal{O} $$ O (106) GeV3, which are excluded by the Zel’dovich-Kobzarev-Okun bound. With the explicit CP-violating (CPV) terms as the so-called biased term in the scalar potential, domain walls can collapse in the early Universe. The sizes of the explicit CP violation can be constrained from the Big Bang nucleosynthesis. This constraint is converted to the CPV mixing of αc, and is mostly sensitive to the mass splittings between two heavy neutral Higgs bosons. We estimate the possible gravitational wave signals and the electric dipole moment (EDM) predictions due to the domain wall collapsing. It turns out that the peak spectrum of the GW from the domain wall collapsing cannot be probed in any future program. In contrast, the untenable regions with very tiny explicit CPV parameter in the Higgs potential has been partially excluded by the latest electron EDM measurements at the ACME-II and will be further confirmed or excluded by the future ACME-III projection.

Domain walls and CP violation with left right supersymmetry: implications for leptogenesis and electron EDM

“…The two loop computation follows along the lines of the seminal work of Barr and Zee [24] on the electron EDM in multi Higgs doublet models. A similar calculation of electron EDM arising as a residual effect of domain wall collapse in two Higgs doublet models was done in [25]. It turns out that successful leptogenesis in LRSUSY requires α 0.1.…”

“…Gravitational waves are indeed produced by the annhilation of the domain walls that were originally formed by the breaking of the discrete parity symmetry. Previous works have studied gravitational waves arising from the breaking of bubble walls in general first order phase transitions above electroweak scale [50,51], breaking of bubble walls in electroweak baryogenesis in the non-SUSY LRSM model [52,53], or from the breaking of domain walls in the non-SUSY two Higgs doublet model [25]. In this section, we do a quick study of gravitational waves arising from the breaking of domain walls in LRSUSY.…”

Stable Z-strings with topological polarization in two Higgs doublet model

“…While the topological Z-string is topologically stable, the U(1) a symmetry should be explicitly broken to give masses to additional Higgs fields, attaching domain walls to the topological Z string [62,63] as axion strings. There are also other studies in the literature on (non-)topological solitons in the 2HDM; domain walls and sine-Gordon solitons [57,[65][66][67][68][69][70], sphaleron(-like) solution [71][72][73][74], global monopoles [57] and the Nambu monopoles [75][76][77].…”

Dynamics of Nambu monopole in two Higgs doublet models. Cosmological Monopole Collider

“…[26][27][28][29][30] and references therein. One of the most remarkable aspects of 2HDMs distinguishable from the SM may be that it has a much richer vacuum structure than the SM, thereby allowing a variety of topologically stable solitons, in addition to non-topological solitons [31][32][33][34][35][36][37][38][39] analogous to the SM; domain walls [40][41][42][43][44][45], membranes [46,47], and cosmic strings such as topological Z strings [42,43,48,49] (see also ref. [50]).…”