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We discuss the formulation of the general two-Higgs doublet model type III,which incorporates flavor changing neutral scalar interactions (FCNSI) and CPviolation from several sources. CP violation can arise either from Yukawa termsor from the Higgs potential, and it can explicit or spontaneous. We discuss thecase that includes CP violation with Yukawa textures to control FCNSI andevaluate the CP asymmetry for the decay h-> c-b+ W-, which may allow to testthe patterns of FCNSI and CP violation, that arises in these models.

Probing flavor changing neutral currents and CP violation through the decay h-> c-b+ W- in the two Higgs doublet model