A Case Study in Dimensional Deconstruction

Details A Case Study in Dimensional Deconstruction A Case Study in Dimensional Deconstruction

2002-02-10

arxiv.org/abs/hep-ph/0202093v1

Phys.Rev. D65 (2002) 115001

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, LaTeX, with 8 postscript figures

Scientific paper

10.1103/PhysRevD.65.115001

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 \Lambda, and whose quartic coupling \lambda is large, so that its vacuum expectation value v \sim M/\sqrt{\lambda} << \Lambda also. We consider two different underlying dynamics--UV completions--at the scale \Lambda 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 << \Lambda and \lambda << 1, hence, v \sim \Lambda. In the other, \lambda can be large or small, but then so is M, and v is still O(\Lambda).

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