Fundamental fermion masses from deformed SUq(2) triplets

Detalhes bibliográficos
Autor(a) principal: Palladino, B. E. [UNESP]
Data de Publicação: 1997
Outros Autores: Ferreira, P. Leal [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/224332
Resumo: A spectrum-generating q-algebra, within the framework of SUq(2), as firstly suggested by Iachello, is studied in order to describe the mass spectrum of three generations of quarks and leptons. The SUq(2) quantum group is a q-deformed extension of SU(2), where q = ea (with α real) is the deformation parameter. In this work, the essential use of inequivalent representations of SUq(2) is introduced. The inequivalent representations are labelled by (j, v0), where j = 0, 1/2, 1, ... and v0 is a positive real number. A formula for the fermion masses Mm(j, v0), with -j ≤ m ≤ j is derived. As an example, a possible scheme which corresponds to two triplets (j = 1) associated to up and down quarks is presented here in some detail. They are associated to different values of the deformation parameter, indicating a dependence of the charge Q on the parameter α. The masses of the charged leptons are treated in a similar way. The current results show that some mass relations for quarks and leptons found in the literature can be considered as approximations of the equations obtained in the j = 1 representations. The breaking of SUq(2) necessary to describe the Cabibbo-Kobayashi-Maskawa (CKM) flavor mixing is briefly discussed.
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spelling Fundamental fermion masses from deformed SUq(2) tripletsA spectrum-generating q-algebra, within the framework of SUq(2), as firstly suggested by Iachello, is studied in order to describe the mass spectrum of three generations of quarks and leptons. The SUq(2) quantum group is a q-deformed extension of SU(2), where q = ea (with α real) is the deformation parameter. In this work, the essential use of inequivalent representations of SUq(2) is introduced. The inequivalent representations are labelled by (j, v0), where j = 0, 1/2, 1, ... and v0 is a positive real number. A formula for the fermion masses Mm(j, v0), with -j ≤ m ≤ j is derived. As an example, a possible scheme which corresponds to two triplets (j = 1) associated to up and down quarks is presented here in some detail. They are associated to different values of the deformation parameter, indicating a dependence of the charge Q on the parameter α. The masses of the charged leptons are treated in a similar way. The current results show that some mass relations for quarks and leptons found in the literature can be considered as approximations of the equations obtained in the j = 1 representations. The breaking of SUq(2) necessary to describe the Cabibbo-Kobayashi-Maskawa (CKM) flavor mixing is briefly discussed.Inst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, SPInst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, SPUniversidade Estadual Paulista (UNESP)Palladino, B. E. [UNESP]Ferreira, P. Leal [UNESP]2022-04-28T19:55:58Z2022-04-28T19:55:58Z1997-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article303-314Nuovo Cimento della Societa Italiana di Fisica A, v. 110, n. 3, p. 303-314, 1997.0369-3546http://hdl.handle.net/11449/2243322-s2.0-0040600464Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNuovo Cimento della Societa Italiana di Fisica Ainfo:eu-repo/semantics/openAccess2022-04-28T19:55:58Zoai:repositorio.unesp.br:11449/224332Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:01:44.430164Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Fundamental fermion masses from deformed SUq(2) triplets
title Fundamental fermion masses from deformed SUq(2) triplets
spellingShingle Fundamental fermion masses from deformed SUq(2) triplets
Palladino, B. E. [UNESP]
title_short Fundamental fermion masses from deformed SUq(2) triplets
title_full Fundamental fermion masses from deformed SUq(2) triplets
title_fullStr Fundamental fermion masses from deformed SUq(2) triplets
title_full_unstemmed Fundamental fermion masses from deformed SUq(2) triplets
title_sort Fundamental fermion masses from deformed SUq(2) triplets
author Palladino, B. E. [UNESP]
author_facet Palladino, B. E. [UNESP]
Ferreira, P. Leal [UNESP]
author_role author
author2 Ferreira, P. Leal [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Palladino, B. E. [UNESP]
Ferreira, P. Leal [UNESP]
description A spectrum-generating q-algebra, within the framework of SUq(2), as firstly suggested by Iachello, is studied in order to describe the mass spectrum of three generations of quarks and leptons. The SUq(2) quantum group is a q-deformed extension of SU(2), where q = ea (with α real) is the deformation parameter. In this work, the essential use of inequivalent representations of SUq(2) is introduced. The inequivalent representations are labelled by (j, v0), where j = 0, 1/2, 1, ... and v0 is a positive real number. A formula for the fermion masses Mm(j, v0), with -j ≤ m ≤ j is derived. As an example, a possible scheme which corresponds to two triplets (j = 1) associated to up and down quarks is presented here in some detail. They are associated to different values of the deformation parameter, indicating a dependence of the charge Q on the parameter α. The masses of the charged leptons are treated in a similar way. The current results show that some mass relations for quarks and leptons found in the literature can be considered as approximations of the equations obtained in the j = 1 representations. The breaking of SUq(2) necessary to describe the Cabibbo-Kobayashi-Maskawa (CKM) flavor mixing is briefly discussed.
publishDate 1997
dc.date.none.fl_str_mv 1997-03-01
2022-04-28T19:55:58Z
2022-04-28T19:55:58Z
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 Nuovo Cimento della Societa Italiana di Fisica A, v. 110, n. 3, p. 303-314, 1997.
0369-3546
http://hdl.handle.net/11449/224332
2-s2.0-0040600464
identifier_str_mv Nuovo Cimento della Societa Italiana di Fisica A, v. 110, n. 3, p. 303-314, 1997.
0369-3546
2-s2.0-0040600464
url http://hdl.handle.net/11449/224332
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nuovo Cimento della Societa Italiana di Fisica A
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 303-314
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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