CP violation conditions in N-Higgs-doublet potentials
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.74.036003 http://hdl.handle.net/11449/224786 |
Resumo: | Conditions for CP violation in the scalar potential sector of general N-Higgs-doublet models are analyzed from a group theoretical perspective. For the simplest two-Higgs-doublet model potential, a minimum set of conditions for explicit and spontaneous CP violation is presented. The conditions can be given a clear geometrical interpretation in terms of quantities in the adjoint representation of the basis transformation group for the two doublets. Such conditions depend on CP-odd pseudoscalar invariants. When the potential is CP invariant, the explicit procedure to reach the real CP-basis and the explicit CP transformation can also be obtained. The procedure to find the real basis and the conditions for CP violation are then extended to general N-Higgs-doublet model potentials. The analysis becomes more involved and only a formal procedure to reach the real basis is found. Necessary conditions for CP invariance can still be formulated in terms of group invariants: the CP-odd generalized pseudoscalars. The problem can be completely solved for three Higgs-doublets. © 2006 The American Physical Society. |
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CP violation conditions in N-Higgs-doublet potentialsConditions for CP violation in the scalar potential sector of general N-Higgs-doublet models are analyzed from a group theoretical perspective. For the simplest two-Higgs-doublet model potential, a minimum set of conditions for explicit and spontaneous CP violation is presented. The conditions can be given a clear geometrical interpretation in terms of quantities in the adjoint representation of the basis transformation group for the two doublets. Such conditions depend on CP-odd pseudoscalar invariants. When the potential is CP invariant, the explicit procedure to reach the real CP-basis and the explicit CP transformation can also be obtained. The procedure to find the real basis and the conditions for CP violation are then extended to general N-Higgs-doublet model potentials. The analysis becomes more involved and only a formal procedure to reach the real basis is found. Necessary conditions for CP invariance can still be formulated in terms of group invariants: the CP-odd generalized pseudoscalars. The problem can be completely solved for three Higgs-doublets. © 2006 The American Physical Society.Instituto de Física Teórica UNESP São Paulo State University, Rua Pamplona, 14501405-900, São PauloInstituto de Física Teórica UNESP São Paulo State University, Rua Pamplona, 14501405-900, São PauloUniversidade Estadual Paulista (UNESP)Nishi, C. C. [UNESP]2022-04-28T20:08:18Z2022-04-28T20:08:18Z2006-08-18info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.74.036003Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 74, n. 3, 2006.1550-79981550-2368http://hdl.handle.net/11449/22478610.1103/PhysRevD.74.0360032-s2.0-33747119360Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D - Particles, Fields, Gravitation and Cosmologyinfo:eu-repo/semantics/openAccess2022-04-28T20:08:18Zoai:repositorio.unesp.br:11449/224786Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:54:59.525436Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
CP violation conditions in N-Higgs-doublet potentials |
title |
CP violation conditions in N-Higgs-doublet potentials |
spellingShingle |
CP violation conditions in N-Higgs-doublet potentials Nishi, C. C. [UNESP] |
title_short |
CP violation conditions in N-Higgs-doublet potentials |
title_full |
CP violation conditions in N-Higgs-doublet potentials |
title_fullStr |
CP violation conditions in N-Higgs-doublet potentials |
title_full_unstemmed |
CP violation conditions in N-Higgs-doublet potentials |
title_sort |
CP violation conditions in N-Higgs-doublet potentials |
author |
Nishi, C. C. [UNESP] |
author_facet |
Nishi, C. C. [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Nishi, C. C. [UNESP] |
description |
Conditions for CP violation in the scalar potential sector of general N-Higgs-doublet models are analyzed from a group theoretical perspective. For the simplest two-Higgs-doublet model potential, a minimum set of conditions for explicit and spontaneous CP violation is presented. The conditions can be given a clear geometrical interpretation in terms of quantities in the adjoint representation of the basis transformation group for the two doublets. Such conditions depend on CP-odd pseudoscalar invariants. When the potential is CP invariant, the explicit procedure to reach the real CP-basis and the explicit CP transformation can also be obtained. The procedure to find the real basis and the conditions for CP violation are then extended to general N-Higgs-doublet model potentials. The analysis becomes more involved and only a formal procedure to reach the real basis is found. Necessary conditions for CP invariance can still be formulated in terms of group invariants: the CP-odd generalized pseudoscalars. The problem can be completely solved for three Higgs-doublets. © 2006 The American Physical Society. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-08-18 2022-04-28T20:08:18Z 2022-04-28T20:08:18Z |
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/10.1103/PhysRevD.74.036003 Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 74, n. 3, 2006. 1550-7998 1550-2368 http://hdl.handle.net/11449/224786 10.1103/PhysRevD.74.036003 2-s2.0-33747119360 |
url |
http://dx.doi.org/10.1103/PhysRevD.74.036003 http://hdl.handle.net/11449/224786 |
identifier_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 74, n. 3, 2006. 1550-7998 1550-2368 10.1103/PhysRevD.74.036003 2-s2.0-33747119360 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808128999835041792 |