Abstract
The CP violating two-Higgs doublet model of type-X may enhance significantly the electric and magnetic moment of leptons through two-loop Barr-Zee diagrams. We analyze the general parameter space of the type-X 2HDM consistent with the muon g − 2 and the electron EDM measurements to show how strongly the CP violating parameter is constrained in the region explaining the muon g − 2 anomaly.
Highlights
Only by type-X 2HDM with large tan β and a very light pseudoscalar, while strong phase transition for electroweak baryogenesis can be realized for a very heavy pseudoscalar Higgs boson preferring low tan β [30]
Contribution coming from the heavy scalar, h2 is suppressed due to its mass, whereas contributions originate from the BZ diagrams with an internal Z boson are order of magnitude small since Z boson is heavy and the Zf fvector coupling is small
We explored the parameter space of the CP violating type-X 2HDM in which sizable enhancement of electric and magnetic moment of leptons can arise through two-loop Barr
Summary
We will briefly summarize the CP violating two-Higgs doublet model. The model consists of two scalar doublets Φ1 and Φ2 of equal hypercharge. To avoid the problematic FCNCs we impose a Z2 symmetry under which the scalars are oppositely charged, Φ1 → −Φ1 and Φ2 → Φ2, and the fermions are charged appropriately This Z2 charge assignment forbids the λ6 and λ7 term in the scalar potential in eq (2.1). We include the soft Z2 breaking term m212 which can generates CP violation in the scalar sector [34]. This term is important to keep the quartic coupling λ1 below perturbativity limit [35, 36]. The complex parameters in the potential are m212 and λ5 while all other parameters are real. From eq (2.5) it is evident that there is only one free CPV parameter as shown in [10, 15] and on we will use Im(λ5) as free parameter to quantify the CP violation
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