Large pseudoscalar Yukawa couplings in the complex 2HDM

Abstract

We start by presenting the current status of a complex flavour conserving two-Higgs doublet model. We will focus on some very interesting scenarios where unexpectedly the light Higgs couplings to leptons and to b-quarks can have a large pseudoscalar component with a vanishing scalar component. Predictions for the allowed parameter space at end of the next run with a total collected luminosity of $300f{b}^{-1}$ and $3000f{b}^{-1}$ are also discussed. These scenarios are not excluded by present data and most probably will survive the next LHC run. However, a measurement of the mixing angle $\ddot{I}{•}_{\ddot{I}}„$, between the scalar and pseudoscalar component of the 125 GeV Higgs, in the decay $h\to \ddot{I}{„}^{+}\ddot{I}{„}^{-}$ will be able to probe many of these scenarios, even with low luminosity. Similarly, a measurement of $\ddot{I}{•}_t$ in the vertex $\bar{t}th$ could help to constrain the low $\tan {\hat{I}}^2$ region in the Type I model.

21 pages, 10 figures