Title: Controlling the Flavour Changing Neutral Couplings of Multi-Higgs Doublets Models through Unitary Matrices

Abstract: In this paper, we introduce Unitary Flavour Violation to produce Multi-Higgs Doublets Models where all flavour parameters are contained within three unitary matrices. After that, we identify two of its subclasses, the left and right models, which have naturally suppressed tree-level Flavour Changing Neutral Couplings that easily avoid the experimental constraints derived from neutral meson mixing. Then, we show that left models can accomodate spontaneous CP violation when all quarks have Flavour Changing Neutral Couplings. Finally, we illustrate these concepts by considering a specific implementation with three Higgs doublets.