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Title: W{sub L}W{sub L} scattering in Higgsless models: Identifying better effective theories

Journal Article · · Physical Review. D, Particles Fields
 [1]; ; ;  [2];  [3];  [4];  [5]
  1. School of Physics and Astronomy, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom and Particle Physics Department, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX (United Kingdom)
  2. Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)
  3. Center for High Energy Physics, Tsinghua University, Beijing 100084 (China)
  4. Theoretical Division T-2, Los Alamos National Laboratory, Los Alamos, New Mexico 85745 (United States)
  5. Department of Physics, Nagoya University, Nagoya 464-8602 (Japan)

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{sub L}W{sub L} scattering, and which modifications can make it more representative. We employ general sum rules relating the masses and couplings of the Kaluza-Klein 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 Kaluza-Klein 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 ('breaking electroweak symmetry strongly' 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{sub L}W{sub 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 {pi}{pi} 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{sup '} line shape and ZWW coupling at a high-energy lepton collider.

OSTI ID:
21322636
Journal Information:
Physical Review. D, Particles Fields, Vol. 80, Issue 5; Other Information: DOI: 10.1103/PhysRevD.80.055022; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English

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