Deconstruction and elastic {pi}{pi} scattering in Higgsless models
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)
We study elastic pion-pion scattering in global linear moose models and apply the results to a variety of Higgsless models in flat and anti-de Sitter (AdS) space using the equivalence theorem. In order to connect the global moose to Higgsless models, we first introduce a block-spin transformation which corresponds, in the continuum, to the freedom to perform coordinate transformations in the Higgsless model. We show that it is possible to make an 'f-flat' deconstruction in which all of the f-constants f{sub j} of the linear moose model are identical; the phenomenologically relevant f-flat models are those in which the coupling constants of the groups at either end of the moose are small--corresponding to the global linear moose. In studying pion-pion scattering, we derive various sum rules, including one analogous to the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin (KSRF) relation, and use them in evaluating the low-energy and high-energy forms of the leading elastic partial-wave scattering amplitudes. We obtain elastic unitarity bounds as a function of the mass of the lightest KK mode and discuss their physical significance.
- OSTI ID:
- 21011008
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 75, Issue 3; Other Information: DOI: 10.1103/PhysRevD.75.035005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
General sum rules for WW scattering in Higgsless models: Equivalence theorem and deconstruction identities
Chiral extrapolation of light resonances from one and two-loop unitarized chiral perturbation theory versus lattice results