A composite little Higgs model

We describe a natural UV complete theory with a composite little Higgs. Belowa TeV we have the minimal Standard Model with a light Higgs, and an extraneutral scalar. At the TeV scale there are additional scalars, gauge bosons,and vector-like charge 2/3 quarks, whose couplings to the Higgs greatly reducethe UV sensitivity of the Higgs potential. Stabilization of the Higgs masssquared parameter, without finetuning, occurs due to a softly broken shiftsymmetry--the Higgs is a pseudo Nambu-Goldstone boson. Above the 10 TeV scalethe theory has new strongly coupled interactions. A perturbativelyrenormalizable UV completion, with softly broken supersymmetry at 10 TeV isexplicitly worked out. Our theory contains new particles which are odd under anexact "dark matter parity", (-1)^{(2S+3B+L)}. We argue that such a parity islikely to be a feature of many theories of new TeV scale physics. The lightestparity odd particle, or "LPOP", is most likely a neutral fermion, and may makea good dark matter candidate, with similar experimental signatures to theneutralino of the MSSM. We give a general effective field theory analysis ofthe calculation of corrections to precision electroweak observables.Comment: 28 page