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2011

On The Potential of Minimal Flavour Violation

Alonso, R., Gavela, M. B., Merlo, L. et al.

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Assuming the Minimal Flavour Violation hypothesis, we derive the general scalar potential for fields whose background values are the Yukawa couplings.

We analyze the minimum of the potential and discuss the fine-tuning required to dynamically generate the mass hierarchies and the mixings between different quark generations.
Two main cases are considered, corresponding to Yukawa interactions being effective operators of dimension five or six (or, equivalently, resulting from bi-fundamental and fundamental scalar fields, respectively).
At the renormalizable and classical level, no mixing is naturally induced from dimension five Yukawa operators.

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