Perturbative Analysis of the Electron EDM and CP Violation in Two Higgs Doublet Models

Abstract

I consider a general two Higgs doublet model with CP violation. I give a perturbative expansion for the mass eigenstates in terms of the small CP violating phase. I use these analytical expressions to show that $\mathcal{O}(10^{-2})$ CP violation is allowed by the experimental bounds on the electron electric dipole momnent in some regions of the parameter space. These regions also include parameters that are expected to give a strongly first order electroweak phase transition required for electroweak baryogenesis. I also comment on how to incorporate the CP violation into the searches for a strongly first order electroweak phase transition which could explain the matter/anti-matter asymmetry in the universe.

15 pages, 6 figures, journal ref added

References in corpus (4)

• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• Electric Dipole Moments in Two-Higgs-Doublet Models
• A strong electroweak phase transition in the 2HDM after LHC8
• Aspects of CP violation in the HZZ coupling at the LHC

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• Electroweak Baryogenesis From Dark CP Violation
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• Collapsing domain walls in the two-Higgs-doublet model and deep insights from the EDM
• Dark CP Violation and Gauged Lepton/Baryon Number for Electroweak Baryogenesis
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