Deconstruction and elastic {pi}{pi} scattering in Higgsless models
Abstract
We study elastic pionpion scattering in global linear moose models and apply the results to a variety of Higgsless models in flat and antide Sitter (AdS) space using the equivalence theorem. In order to connect the global moose to Higgsless models, we first introduce a blockspin 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 'fflat' deconstruction in which all of the fconstants f{sub j} of the linear moose model are identical; the phenomenologically relevant fflat models are those in which the coupling constants of the groups at either end of the moose are smallcorresponding to the global linear moose. In studying pionpion scattering, we derive various sum rules, including one analogous to the KawarabayashiSuzukiRiazuddinFayyazuddin (KSRF) relation, and use them in evaluating the lowenergy and highenergy forms of the leading elastic partialwave scattering amplitudes. We obtain elastic unitarity bounds as a function of the mass of the lightest KK mode and discuss their physical significance.
 Authors:
 Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)
 (China)
 (United States)
 (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; PIONPION INTERACTIONS; REST MASS; SCATTERING AMPLITUDES; SPIN; SUM RULES; TRANSFORMATIONS; UNITARITY
Citation Formats
Chivukula, R. Sekhar, Simmons, Elizabeth H., He, HongJian, 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, 9808578. 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, HongJian, 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, 9808578. Deconstruction and elastic {pi}{pi} scattering in Higgsless models. United States. doi:10.1103/PHYSREVD.75.035005.
Chivukula, R. Sekhar, Simmons, Elizabeth H., He, HongJian, 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, 9808578. 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, HongJian 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, 9808578},
abstractNote = {We study elastic pionpion scattering in global linear moose models and apply the results to a variety of Higgsless models in flat and antide Sitter (AdS) space using the equivalence theorem. In order to connect the global moose to Higgsless models, we first introduce a blockspin 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 'fflat' deconstruction in which all of the fconstants f{sub j} of the linear moose model are identical; the phenomenologically relevant fflat models are those in which the coupling constants of the groups at either end of the moose are smallcorresponding to the global linear moose. In studying pionpion scattering, we derive various sum rules, including one analogous to the KawarabayashiSuzukiRiazuddinFayyazuddin (KSRF) relation, and use them in evaluating the lowenergy and highenergy forms of the leading elastic partialwave 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}
}

We analyze inelastic 2{yields}2 scattering amplitudes for gauge bosons and NambuGoldstone 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 alsomore »

Higgsless Models: Lessons from Deconstruction
This talk reviews recent progress in Higgsless models of electroweak symmetry breaking, and summarizes relevant points of modelbuilding and phenomenology. 
W{sub L}W{sub L} scattering in Higgsless models: Identifying better effective theories
The threesite model has been offered as a benchmark for studying the collider phenomenology of Higgsless models. In this paper we analyze how well the threesite 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 KaluzaKlein 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 fourpoint vertex for the (unphysical) NambuGoldstone modes and the degree to whichmore » 
Unitary mesonexchange. pi. NN models: NN and. pi. d elastic scattering
Within a unitary ..pi..NN theory a set of coupled integral equations defined in the NNdirectsumN..delta.. directsum..pi..NN subspace has been derived for examining the extent to which the NN and ..pi..d elastic scattering data can be both described by a class of mesonexchange ..pi..NN models. The considered models are constructued by using a previously developed subtraction procedure to extend the Paris, Bonn, ArgonneV14, and Reid NN potentials to include the coupling to the ..pi..NN production channel. The pion production through the ..delta.. excitation is described by a ..pi..Nboldarrowleftright..delta.. vertex and a V/sub NN//sub boldarrowleftright//sub N//sub ..delta../ transition potential, while the productionmore »