Abstract
We analise phenomenological implications of two Higgs doublet models with Higgs flavour changing neutral currents suppressed in the quark sector by small entries of the Cabibbo- Kokayashi-Maskawa matrix. This suppression occurs in a natural way since it is the result of a symmetry applied to the Lagrangian. These type of models were proposed some time ago by Branco Grimus and Lavoura. Our results clearly show that these class of models allow for new physical scalars, with masses which are reachable at the LHC. The imposed symmetry severely reduces the number of free parameters and allows for predictions. Therefore these models can eventually be proved right or eliminated experimentally.
Highlights
There are several good motivations to consider models with two Higgs doublets
Spontaneous CP violation was first proposed by Lee [1] in the context of two Higgs doublet models (2HDM) and puts CP violation on the same footing as the electroweak symmetry breaking
The symmetry given by Eq (8) leads to Higgs flavour changing neutral currents (FCNC) in the down sector only, whereas the symmetry specified by Eq (9) leads to Higgs FCNC only in the up sector
Summary
There are several good motivations to consider models with two Higgs doublets. Such models allow for new sources of CP violation and for the possibility of having spontaneous CP violation. There are important experimental constraints on 2HDM Such models have potentially large Higgs mediated flavour changing neutral currents (FCNC) [5], [6] [7]. The symmetry given by Eq (8) leads to Higgs FCNC in the down sector only, whereas the symmetry specified by Eq (9) leads to Higgs FCNC only in the up sector These two alternative choices of symmetry combined with the three possible ways of fixing the index j give rise to six different realisations of 2HDM with the flavour structure, in the quark sector, controlled by the VCKM matrix. Some of the BGL models allow for masses of the charged Higgs below 380 GeV which is the constraint from b → sγ on type II 2HDMs [21] This is due to the different dependence that these models have on tan β. The same is true for the process Z → bb and the oblique parameters S and T , unlike U
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