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 $\mathcal{O}(10^6){\mathrm{GeV}}^3$, 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 ${\alpha }_c$, 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.

33 pages, 8 figures, matches the published version

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• Classification of Abelian domain walls
• CP violating effects in ${}^{210}$Fr and prospects for new physics beyond the Standard Model
• Stable $Z$-strings with topological polarization in two Higgs doublet model
• Collapsing domain walls beyond $Z_2$
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• Testing Unification and Dark Matter with Gravitational Waves
• Maximising CP Violation in Naturally Aligned Two-Higgs Doublet Models
• Inflation, electroweak phase transition, and Higgs searches at the LHC in the two-Higgs-doublet model
• Simulations of Domain Walls in Two Higgs Doublet Models
• Gravitational Wave Signatures of Gauged Baryon and Lepton Number
• Gravitational wave signature of generic disappearance of $Z_2$-symmetry breaking domain walls
• Probing CP Violation in Dark Sector through the Electron Electric Dipole Moment
• Probing the Neutrino Seesaw Scale with Gravitational Waves
• Spontaneous CP Violation and Flavor Changing Neutral Currents in Minimal SO(10)
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory
• Complete Classification of Domain Wall Solutions in the ${\mathbb{Z}}_2$-symmetric 2HDM