Supersymmetry combined with little Higgs can render the Higgs vacuum expectation value super-little, providing models of electroweak symmetry breaking free from fine-tunings. We discuss the difficulties that arise in implementing this idea and propose one simple successful model. Thanks to appropriately chosen Higgs representations, D-terms give a negligible tree-level mass term to the Goldstone. The fermion representations are anomaly free, generation independent, and embeddable into an SU(6) grand unified theory. A simple mechanism provides the large top quark mass.
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Csáki et al. (2006) studied this question.
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