  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.
