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We systematically explore ultraviolet complete models where flavourhierarchies emerge, via approximate accidental symmetries, from an underlyingflavour non-universal gauge structure. In order to avoid large quantumcorrections to the Higgs mass, the first layer of non-universality, separatingthe third generation from the light ones, should appear at the TeV scale. Ahandful of models survive the combined criteria of naturalness in the Higgssector, having a semi-simple embedding in the UV, and compatibility withexperiments. They all feature quark-lepton unification in the third family anda non-universal electroweak sector. We study in more detail the interestingoption of having colour and hypercharge non-universal at the TeV scale, while$\mathrm{SU}(2)_L$ remains universal up to high scales: this gauge structureturns to be very efficient in secluding the Higgs from large quantumcorrections and predicting flavour mixing consistent with data. In all cases,these models imply a rich TeV-scale phenomenology within the reach ofnear-future direct and indirect experimental searches.

Non-universal gauge interactions addressing the inescapable link between Higgs and Flavour