Comments on the evaluation of massless scattering
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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:29462024-08-05T23:03:47.869899Repositório 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 |
|
_version_ |
1808129485473579008 |