Collapsing domain walls in the two-Higgs-doublet model and deep insights from the EDM
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Springer
Received: June Revised: August Accepted: September Published: October
24, 10, 15, 13,
2020 2020 2020 2020
Ning Chen,a Tong Li,a Zhaolong Tenga and Yongcheng Wub a
School of Physics, Nankai University, Tianjin 300071, China b Ottawa-Carleton Institute for Physics, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario K1S 5B6, Canada
E-mail: chenning [email protected], [email protected], [email protected], [email protected] 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 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. Keywords: CP violation, Discrete Symmetries, Cosmology of Theories beyond the SM ArXiv ePrint: 2006.06913
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)081
JHEP10(2020)081
Collapsing domain walls in the two-Higgs-doublet model and deep insights from the EDM
Contents 1
2 The 2.1 2.2 2.3 2.4
3 3 4 6 7
general 2HDM with the CPV The 2HDM potential The 2HDM potential with the SCPV The 2HDM potential with the ECPV The unitarity and stability constraints
3 Domain walls in the CPV 2HDM 3.1 The domain wall solutions 3.2 The biased term from the ECPV 3.3 The cosmological constraints 3.4 The GW signals
8 8 10 11 12
4 The EDM measurements
13
5 Conclusion and discussion
17
A The A.1 A.2 A.3
18 18 21 24
1
mass spectrum and self couplings with the SCPV and the ECPV The mass spectrum and self couplings with the SCPV The mass spectrum and self couplings with the ECPV The Yukawa couplings in the CPV 2HDM
Introduction
The Standard Model (SM) of particle physics has been experimentally verified to be successful, with the discovery of the 125 GeV Higgs boson [1, 2] in 2012. Yet, the SM itself cannot address the long-lasting puzzle of the baryon asymmetry in the Universe (BAU). Thus, many efforts have been made to realize the three Sakharov conditions [3] by extending the SM. It is quite general that the extensions to the SM lead to larger symmetries
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