General Sum Rules for WW Scattering in Higgsless Models: Equivalence Theorem and Deconstruction Identities

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dc.creatorChivukula, R. Sekhar
dc.creatorHe, Hong-Jian
dc.creatorKurachi, Masafumi
dc.creatorSimmons, Elizabeth H.
dc.creatorTanabashi, Masaharu
dc.date2008-08-12
dc.date.accessioned2026-07-07T11:45:28Z
dc.date.available2026-07-07T11:45:28Z
dc.descriptionWe analyze inelastic 2 to 2 scattering amplitudes for gauge bosons and Nambu-Goldstone bosons in deconstructed Higgsless models. Using the (KK) Equivalence Theorem in 4D (5D), we derive a set of general sum rules among the boson masses and multi-boson couplings that are valid for arbitrary deconstructed models. Taking the continuum limit, our results naturally include the 5D Higgsless model sum rules for arbitrary 5D geometry and boundary conditions; they also reduce to the elastic sum rules when applied to the special case of elastic scattering. For the case of linear deconstructed Higgsless models, we demonstrate that the sum rules can also be derived from a set of general deconstruction identities and completeness relations. We apply these sum rules to the deconstructed 3-site Higgsless model and its extensions; we show that in 5D ignoring all higher KK modes (n>1) is inconsistent once the inelastic channels become important. Finally, we discuss how our results generalize beyond the case of linear Higgsless models.
dc.description36 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0808.1682
dc.identifierhttp://arxiv.org/abs/0808.1682
dc.identifierPhys.Rev.D78:095003,2008
dc.identifierdoi:10.1103/PhysRevD.78.095003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201888
dc.subjectHigh Energy Physics - Phenomenology
dc.titleGeneral Sum Rules for WW Scattering in Higgsless Models: Equivalence Theorem and Deconstruction Identities
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