A two-Higgs-doublet model with SU(2)-based marginal operators produces unavoidable cyclic RG flows, pseudo-unitary behavior below pair-production threshold, and Russian Doll VEVs whose period is fixed by the Koide formula to yield three families.
Komargodski, The constraints of conformal symmetry on RG flows, JHEP 07 (2012) 069
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A rich structure of renormalization group flows for Higgs-like models in 4 dimensions
A two-Higgs-doublet model with SU(2)-based marginal operators produces unavoidable cyclic RG flows, pseudo-unitary behavior below pair-production threshold, and Russian Doll VEVs whose period is fixed by the Koide formula to yield three families.