The three-site model has been offered as a benchmark for studying the collider phenomenology of Higgsless models. In this paper we analyze how well the three-site model performs as a general exemplar of Higgsless models in describing W_L W_L scattering, and which modifications can make it more representative. We employ general sum rules relating the masses and couplings of the Kaluza-Klein (KK) modes of the gauge fields in continuum and deconstructed Higgsless models as a way to compare the different theories. We show that the size of the four-point vertex for the (unphysical) Nambu-Goldstone modes and the degree to which the sum rules are saturated by contributions from the lowest-lying KK resonances both provide good measures of the extent to which a highly-deconstructed theory can accurately describe the low-energy physics of a continuum 5d Higgsless model. After comparing the three-site model to flat and warped continuum models, we analyze extensions of the three-site model to a longer open linear moose with an additional U(1) group and to a ring ("BESS' or "hidden local symmetry") model with three sites and three links. Both cases may be readily analyzed in the framework of the general sum rules. We demonstrate that W_L W_L scattering in the ring model can very closely approximate scattering in the continuum models, provided that the hidden local symmetry parameter `a' is chosen to mimic rho-meson dominance of pion-pion scattering in QCD. The hadron and lepton collider phenomenology of both extended models is briefly discussed, with a focus on the complementary information to be gained from precision measurements of the Z' line shape and ZWW coupling at a high-energy lepton collider.
Z' production at the LHC in the four-site Higgsless model
在现有对撞机上,我们研究了基于SU(2)_L x SU(2)_1 x SU(2)_2 x U(1)_Y规范对称性的四格点无Higgs模型的中性规范扇区的唯象.该模型预言了两个中性和四个带电的额外规范玻色子Z_{1,2}和W^ \pm_{1,2}的存在。我们扩展和更新以前的研究,集中在中性部门。我们推导出新的限制Z_{1,2} -玻色子的质量和耦合从最近的直接搜索在Tevatron。此外,我们估计发现的潜力,在Tevatron与项目光度L=10 fb^{-1},并在7 TeV的LHC与L=1 fb^{-1}。与其他几乎以疏费米子的额外规范玻色子为特征的无希格斯玻色子理论相比,四位模型允许相当大的Z_{1,2} -玻色子与SM费米子的耦合。由于这一特点,我们发现,在未来两年的额外的Z_{1,2} -玻色子可以发现在青睐的Drell-Yan通道在7 TeV的大型强子对撞机Z_{1,2}质量在TeV区域,根据模型参数。