Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering

If the electroweak symmetry breaking sector turns out to be strongly interacting, the actively investigated effective theory for longitudinal gauge bosons plus Higgs can be efficiently extended to cover the regime of saturation of unitarity (where the perturbative expansion breaks down). This is ach...

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Authors: Delgado López, Rafael, Dobado González, Antonio, Llanes Estrada, Felipe José
Format: article
Publication Date:2015
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/24041
Online Access:https://hdl.handle.net/20.500.14352/24041
Access Level:Open access
Keyword:53
Chiral perturbation-theory
Symmetry-breaking sector
Composite higgs-model
Equivalence theorem
Weak-interactions
Standard model
Electroweak parameters
Technicolor theories
Vacuum misalignment
Scalar resonance
Física (Física)
22 Física
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oai_identifier_str oai:docta.ucm.es:20.500.14352/24041
network_acronym_str ES
network_name_str España
repository_id_str
spelling Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scatteringDelgado López, RafaelDobado González, AntonioLlanes Estrada, Felipe José53Chiral perturbation-theorySymmetry-breaking sectorComposite higgs-modelEquivalence theoremWeak-interactionsStandard modelElectroweak parametersTechnicolor theoriesVacuum misalignmentScalar resonanceFísica (Física)22 FísicaIf the electroweak symmetry breaking sector turns out to be strongly interacting, the actively investigated effective theory for longitudinal gauge bosons plus Higgs can be efficiently extended to cover the regime of saturation of unitarity (where the perturbative expansion breaks down). This is achieved by dispersion relations, whose subtraction constants and left cut contribution can be approximately obtained in different ways, giving rise to different unitarization procedures. We illustrate the ideas with the inverse amplitude method, one version of the N/D method, and another improved version of the K matrix. In the three cases we get partial waves which are unitary, analytical with the proper left and right cuts, and in some cases poles in the second Riemann sheet that can be understood as dynamically generated resonances. In addition, they reproduce at next to leading order the perturbative expansion for the five partial waves not vanishing (up to J = 2), and they are renormalization scale (μ) independent. Also the unitarization formalisms are extended to the coupled channel case. Then we apply the results to the elastic scattering amplitude for the longitudinal components of the gauge bosons V = W, Z at high energy. We also compute hh -> hh and the inelastic process VV -> hh which are coupled to the elastic VV channel for custodial isospin I = 0. We numerically compare the three methods for various values of the low-energy couplings and explain the reasons for the differences found in the I = J = 1 partial wave. Then we study the resonances appearing in the different elastic and coupled channels in terms of the effective Lagrangian parameters.Amer Physical SocUniversidad Complutense de Madrid20152015-04-2720152015-04-27journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/24041reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/240412026-06-02T12:44:21Z
dc.title.none.fl_str_mv Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering
title Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering
spellingShingle Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering
Delgado López, Rafael
53
Chiral perturbation-theory
Symmetry-breaking sector
Composite higgs-model
Equivalence theorem
Weak-interactions
Standard model
Electroweak parameters
Technicolor theories
Vacuum misalignment
Scalar resonance
Física (Física)
22 Física
title_short Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering
title_full Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering
title_fullStr Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering
title_full_unstemmed Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering
title_sort Unitarity, analyticity, dispersion relations, and resonances in strongly interacting W_LW_L, Z_L Z_L, and hh scattering
dc.creator.none.fl_str_mv Delgado López, Rafael
Dobado González, Antonio
Llanes Estrada, Felipe José
author Delgado López, Rafael
author_facet Delgado López, Rafael
Dobado González, Antonio
Llanes Estrada, Felipe José
author_role author
author2 Dobado González, Antonio
Llanes Estrada, Felipe José
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Chiral perturbation-theory
Symmetry-breaking sector
Composite higgs-model
Equivalence theorem
Weak-interactions
Standard model
Electroweak parameters
Technicolor theories
Vacuum misalignment
Scalar resonance
Física (Física)
22 Física
topic 53
Chiral perturbation-theory
Symmetry-breaking sector
Composite higgs-model
Equivalence theorem
Weak-interactions
Standard model
Electroweak parameters
Technicolor theories
Vacuum misalignment
Scalar resonance
Física (Física)
22 Física
description If the electroweak symmetry breaking sector turns out to be strongly interacting, the actively investigated effective theory for longitudinal gauge bosons plus Higgs can be efficiently extended to cover the regime of saturation of unitarity (where the perturbative expansion breaks down). This is achieved by dispersion relations, whose subtraction constants and left cut contribution can be approximately obtained in different ways, giving rise to different unitarization procedures. We illustrate the ideas with the inverse amplitude method, one version of the N/D method, and another improved version of the K matrix. In the three cases we get partial waves which are unitary, analytical with the proper left and right cuts, and in some cases poles in the second Riemann sheet that can be understood as dynamically generated resonances. In addition, they reproduce at next to leading order the perturbative expansion for the five partial waves not vanishing (up to J = 2), and they are renormalization scale (μ) independent. Also the unitarization formalisms are extended to the coupled channel case. Then we apply the results to the elastic scattering amplitude for the longitudinal components of the gauge bosons V = W, Z at high energy. We also compute hh -> hh and the inelastic process VV -> hh which are coupled to the elastic VV channel for custodial isospin I = 0. We numerically compare the three methods for various values of the low-energy couplings and explain the reasons for the differences found in the I = J = 1 partial wave. Then we study the resonances appearing in the different elastic and coupled channels in terms of the effective Lagrangian parameters.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-04-27
2015
2015-04-27
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/24041
url https://hdl.handle.net/20.500.14352/24041
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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