On The Potential of Minimal Flavour Violation

Details On The Potential of Minimal Flavour Violation On The Potential of Minimal Flavour Violation

2011-03-15

arxiv.org/abs/1103.2915v3

JHEP 1107:012,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, 6 figures; Note added in proof on the stability of the minima of the scalar potential; results unchanged; references

Scientific paper

10.1007/JHEP07(2011)012

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. On the contrary, from dimension six Yukawa operators one mixing angle and a strong mass hierarchy among the generations result.

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