A Case Study in Dimensional Deconstruction

We test Arkani-Hamed et al.’s dimensional deconstruction on a model that is predicted to have a naturally light composite Higgs boson, i.e., one whose mass M is much less than its binding scale Λ, and whose quartic coupling λ is large, so that its vacuum expectation value v ∼ M/ √ λ ≪ Λ also. We consider two different underlying dynamics—UV completions—at the scale Λ for this model. We find that the expectation from dimensional deconstruction is not realized and that low energy details depend crucially on the UV completion. In one case, M ≪ Λ and λ ≪ 1, hence, v ∼ Λ. In the other, λ can be large or small, but then so is M , and v is still O(Λ). [email protected] Permanent address. 1 mN−1 nN−1 mN nN m1 n1 m2 n2 m3