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Title: Deconstruction and elastic {pi}{pi} scattering in Higgsless models

Abstract

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.

Authors:
; ; ; ;  [1];  [2];  [3];  [4]
  1. Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)
  2. (China)
  3. (United States)
  4. (Japan)
Publication Date:
OSTI Identifier:
21011008
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.035005; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING CONSTANTS; DE SITTER GROUP; ELASTIC SCATTERING; KAONS; PARTIAL WAVES; PION-PION INTERACTIONS; REST MASS; SCATTERING AMPLITUDES; SPIN; SUM RULES; TRANSFORMATIONS; UNITARITY

Citation Formats

Chivukula, R. Sekhar, Simmons, Elizabeth H., He, Hong-Jian, Kurachi, Masafumi, Tanabashi, Masaharu, Center for High Energy Physics, Tsinghua University, Beijing, 100084, C.N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794, and Department of Physics, Tohoku University, Sendai, 980-8578. Deconstruction and elastic {pi}{pi} scattering in Higgsless models. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.035005.
Chivukula, R. Sekhar, Simmons, Elizabeth H., He, Hong-Jian, Kurachi, Masafumi, Tanabashi, Masaharu, Center for High Energy Physics, Tsinghua University, Beijing, 100084, C.N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794, & Department of Physics, Tohoku University, Sendai, 980-8578. Deconstruction and elastic {pi}{pi} scattering in Higgsless models. United States. doi:10.1103/PHYSREVD.75.035005.
Chivukula, R. Sekhar, Simmons, Elizabeth H., He, Hong-Jian, Kurachi, Masafumi, Tanabashi, Masaharu, Center for High Energy Physics, Tsinghua University, Beijing, 100084, C.N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794, and Department of Physics, Tohoku University, Sendai, 980-8578. Thu . "Deconstruction and elastic {pi}{pi} scattering in Higgsless models". United States. doi:10.1103/PHYSREVD.75.035005.
@article{osti_21011008,
title = {Deconstruction and elastic {pi}{pi} scattering in Higgsless models},
author = {Chivukula, R. Sekhar and Simmons, Elizabeth H. and He, Hong-Jian and Kurachi, Masafumi and Tanabashi, Masaharu and Center for High Energy Physics, Tsinghua University, Beijing, 100084 and C.N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794 and Department of Physics, Tohoku University, Sendai, 980-8578},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.035005},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 75,
place = {United States},
year = {Thu Feb 01 00:00:00 EST 2007},
month = {Thu Feb 01 00:00:00 EST 2007}
}