Comments on the evaluation of massless scattering

Detalhes bibliográficos
Autor(a) principal: Cardona, Carlos
Data de Publicação: 2016
Outros Autores: Kalousios, Chrysostomos [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP01(2016)178
http://hdl.handle.net/11449/172509
Resumo: The goal of this work is threefold. First, we give an expression of the most general five point integral on ℳ0,n (Formula Presented.) in terms of Chebyshev polynomials. Second, we choose a special kinematics that transforms the polynomial form of the scattering equations to a linear system of symmetric polynomials. We then explain how this can be used to explicitly evaluate arbitrary point integrals on ℳ0,n (Formula Presented.). Third, we comment on the recently presented method of companion matrices and we show its equivalence to the elimination theory and an algorithm previously developed by one of the authors.
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spelling Comments on the evaluation of massless scatteringField Theories in Higher DimensionsScattering AmplitudesThe goal of this work is threefold. First, we give an expression of the most general five point integral on ℳ0,n (Formula Presented.) in terms of Chebyshev polynomials. Second, we choose a special kinematics that transforms the polynomial form of the scattering equations to a linear system of symmetric polynomials. We then explain how this can be used to explicitly evaluate arbitrary point integrals on ℳ0,n (Formula Presented.). Third, we comment on the recently presented method of companion matrices and we show its equivalence to the elimination theory and an algorithm previously developed by one of the authors.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Physics Division National Center for Theoretical Sciences National Tsing-Hua UniversityICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. IIICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. IIFAPESP: 2011/11973-4FAPESP: 2012/00756-5National Tsing-Hua UniversityUniversidade Estadual Paulista (Unesp)Cardona, CarlosKalousios, Chrysostomos [UNESP]2018-12-11T17:00:42Z2018-12-11T17:00:42Z2016-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-14application/pdfhttp://dx.doi.org/10.1007/JHEP01(2016)178Journal of High Energy Physics, v. 2016, n. 1, p. 1-14, 2016.1029-84791126-6708http://hdl.handle.net/11449/17250910.1007/JHEP01(2016)1782-s2.0-849575768032-s2.0-84957576803.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2024-01-15T06:21:43Zoai:repositorio.unesp.br:11449/172509Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-15T06:21:43Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Comments on the evaluation of massless scattering
title Comments on the evaluation of massless scattering
spellingShingle Comments on the evaluation of massless scattering
Cardona, Carlos
Field Theories in Higher Dimensions
Scattering Amplitudes
title_short Comments on the evaluation of massless scattering
title_full Comments on the evaluation of massless scattering
title_fullStr Comments on the evaluation of massless scattering
title_full_unstemmed Comments on the evaluation of massless scattering
title_sort Comments on the evaluation of massless scattering
author Cardona, Carlos
author_facet Cardona, Carlos
Kalousios, Chrysostomos [UNESP]
author_role author
author2 Kalousios, Chrysostomos [UNESP]
author2_role author
dc.contributor.none.fl_str_mv National Tsing-Hua University
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Cardona, Carlos
Kalousios, Chrysostomos [UNESP]
dc.subject.por.fl_str_mv Field Theories in Higher Dimensions
Scattering Amplitudes
topic Field Theories in Higher Dimensions
Scattering Amplitudes
description The goal of this work is threefold. First, we give an expression of the most general five point integral on ℳ0,n (Formula Presented.) in terms of Chebyshev polynomials. Second, we choose a special kinematics that transforms the polynomial form of the scattering equations to a linear system of symmetric polynomials. We then explain how this can be used to explicitly evaluate arbitrary point integrals on ℳ0,n (Formula Presented.). Third, we comment on the recently presented method of companion matrices and we show its equivalence to the elimination theory and an algorithm previously developed by one of the authors.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01
2018-12-11T17:00:42Z
2018-12-11T17:00:42Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/JHEP01(2016)178
Journal of High Energy Physics, v. 2016, n. 1, p. 1-14, 2016.
1029-8479
1126-6708
http://hdl.handle.net/11449/172509
10.1007/JHEP01(2016)178
2-s2.0-84957576803
2-s2.0-84957576803.pdf
url http://dx.doi.org/10.1007/JHEP01(2016)178
http://hdl.handle.net/11449/172509
identifier_str_mv Journal of High Energy Physics, v. 2016, n. 1, p. 1-14, 2016.
1029-8479
1126-6708
10.1007/JHEP01(2016)178
2-s2.0-84957576803
2-s2.0-84957576803.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of High Energy Physics
1,227
1,227
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1-14
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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