Abstract
The framework of Higgs-dependent Yukawa couplings allows one to eliminate small couplings from the Standard Model, which can be tested at the LHC. In this work, I study the conditions for CP violation to occur in such models. I identify a class of weak basis invariants controlling CP violation. The invariant measure of CP violation is found to be more than 10 orders of magnitude greater than that in the Standard Model, which can be sufficient for successful electroweak baryogenesis.
Highlights
The flavor puzzle of the Standard Model (SM) remains one of the outstanding issues in modern particle physics
Since the mass matrices and the physical Higgs couplings differ by a flavor-dependent factor, they cannot be diagonalized in the same basis and Higgs-mediated FCNC are induced
I have identified a class of basis invariants responsible for CP violation
Summary
The flavor puzzle of the Standard Model (SM) remains one of the outstanding issues in modern particle physics. It is helpful to formulate the problem in a basis-independent way, making use of CP violating basis invariants which generalize the Jarlskog invariant [3,4,5] This approach has been employed in various new physics models, including the seesaw [6], supersymmetric [7] and 2 Higgs doublet models [8]. The basis independent formulation allows one to obtain an invariant measure of CP violation, which can be relevant to electroweak (EW) baryogenesis (see [9] for a review) It is the smallness of the Jarlskog invariant (and the Higgs sector constraints) that makes electroweak baryogenesis essentially impossible in the SM. It is plausible that successful EW baryogenesis can be achieved
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