Abstract
We analyze the constraints on a CP-violating, flavor conserving, two Higgs doublet model from the measurements of Higgs properties and from the search for heavy Higgs bosons at LHC, and show that the stronger limits typically come from the heavy Higgs search channels. The limits on CP violation arising from the Higgs sector measurements are complementary to those from EDM measurements. Combining all current constraints from low energy to colliders, we set generic upper bounds on the CP violating angle which parametrizes the CP odd component in the 126 GeV Higgs boson.
Highlights
The ratio of Higgs vacuum expectation values
An important consequence of the 126 GeV Higgs boson having a sizable CP odd mixture is that the new physics responsible for this cannot be decoupled and must lie near the electroweak scale
In the context of CP violating, flavor conserving two-Higgs-doublet models, we studied the impact of the heavy Higgs searches at the LHC on the CP violating parameters
Summary
The most general two Higgs doublet potential which breaks SU(2)L × U(1) to U(1)EM is,. Λ5(φ†1φ2)2 + λ6(φ†1φ2)(φ†1φ1) + λ7(φ†1φ2)(φ†2φ2) + h.c. The potential of eq (2.1) leads to tree level flavor changing neutral currents, which can be avoided by imposing a Z2 symmetry under which, φ1 → −φ1 φ2 → φ2. The Higgs doublets in unitary gauge can be written as,. Where tan β = v2/v1, v = |v1|2 + |v2|2 = 246 GeV and H+ is the physical charged Higgs with mass mH+. In general there are 2 independent phases and the imaginary parts of m12 and λ5 lead to mixing in the neutral Higgs sector between H10, H20 and A0, and that is the source of CP violation.
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