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We propose an extra-dimensional approach to the unparticle Higgs (Unhiggs). The non-local 4D Unhiggs action is derived as the boundary effective action of a local 5D theory. We review the mechanism to generate unparticle spectra in the context of warped soft-wall models. Gauge invariance can be simply implemented and unitarity of the longitudinal WW scattering amplitude is particularly transparent. Furthermore, the 5D approach uncovers a broader spectrum of phenomenological possibilities. The Unhiggs is accompanied by another continuum formed by Kaluza-Klein excitations of the Standard Model gauge fields which, in some cases, may take over the leading role in unitarizing WW scattering.
preprint / 2008