The Minimal Moose for a Little Higgs

Recently a new class of theories of electroweak symmetry breaking have beenconstructed. These models, based on deconstruction and the physics of theoryspace, provide the first alternative to weak-scale supersymmetry with naturallylight Higgs fields and perturbative new physics at the TeV scale. The Higgs islight because it is a pseudo-Goldstone boson, and the quadratically divergentcontributions to the Higgs mass are cancelled by new TeV scale ``partners'' ofthe {\em same} statistics. In this paper we present the minimal theory spacemodel of electroweak symmetry breaking, with two sites and four link fields,and the minimal set of fermions. There are very few parameters and degrees offreedom beyond the Standard Model. Below a TeV, we have the Standard Model withtwo light Higgs doublets, and an additional complex scalar weak triplet andsinglet. At the TeV scale, the new particles that cancel the 1-loop quadraticdivergences in the Higgs mass are revealed. The entire Higgs potential neededfor electroweak symmetry breaking--the quartic couplings as well as thefamiliar negative mass squared--can be generated by the top Yukawa coupling,providing a novel link between the physics of flavor and electroweak symmetrybreaking.Comment: 15 pages. References added. Included clarifying comments on the origin of quartic couplings, and on power-counting. More elegant model for generating Higgs potential from top Yukawa coupling presente