General sum rules for WW scattering in Higgsless models: Equivalence theorem and deconstruction identities
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)
- Center for High Energy Physics, Tsinghua University, Beijing 100084 (China)
- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)
- Department of Physics, Nagoya University, Chikusa-ku Nagoya 464-8602 (Japan)
We analyze inelastic 2{yields}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 multiboson 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.
- OSTI ID:
- 21254636
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 9; Other Information: DOI: 10.1103/PhysRevD.78.095003; (c) 2008 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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