Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case

Autores
Kiers, Joshua; Kiers, Ken; Szynkman, Alejandro Andrés; Tarutina, Tatiana
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Senjanović and Tello have analyzed how one could determine the neutrino Dirac mass matrix in the minimal left-right model, assuming that the mass matrices for the light and heavy neutrinos could be taken as inputs. They provided an analytical solution for the Dirac mass matrix in the case that the left-right symmetry is implemented via a generalized parity symmetry and that this symmetry remains unbroken in the Dirac-Yukawa sector. We extend the work of Senjanović and Tello to the case in which the generalized parity symmetry is broken in the Dirac-Yukawa sector. In this case, the elegant method outlined by Senjanović and Tello breaks down and we need to adopt a numerical approach. Several iterative approaches are described; these are found to work in some cases but to be highly unstable in others. A stable, prescriptive numerical algorithm is described that works in all but a vanishingly small number of cases. We apply this algorithm to numerical datasets that are consistent with current experimental constraints on neutrino masses and mixings. We also provide some additional context and supporting explanations for the case in which the parity symmetry is unbroken.
Fil: Kiers, Joshua. Marian University; Estados Unidos
Fil: Kiers, Ken. Taylor University; Estados Unidos
Fil: Szynkman, Alejandro Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Tarutina, Tatiana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Neutrinos
Seesaw
Left-Right Model
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/233580
Acceder
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spelling Disentangling the seesaw mechanism in the left-right model: An algorithm for the general caseKiers, JoshuaKiers, KenSzynkman, Alejandro AndrésTarutina, TatianaNeutrinosSeesawLeft-Right Modelhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Senjanović and Tello have analyzed how one could determine the neutrino Dirac mass matrix in the minimal left-right model, assuming that the mass matrices for the light and heavy neutrinos could be taken as inputs. They provided an analytical solution for the Dirac mass matrix in the case that the left-right symmetry is implemented via a generalized parity symmetry and that this symmetry remains unbroken in the Dirac-Yukawa sector. We extend the work of Senjanović and Tello to the case in which the generalized parity symmetry is broken in the Dirac-Yukawa sector. In this case, the elegant method outlined by Senjanović and Tello breaks down and we need to adopt a numerical approach. Several iterative approaches are described; these are found to work in some cases but to be highly unstable in others. A stable, prescriptive numerical algorithm is described that works in all but a vanishingly small number of cases. We apply this algorithm to numerical datasets that are consistent with current experimental constraints on neutrino masses and mixings. We also provide some additional context and supporting explanations for the case in which the parity symmetry is unbroken.Fil: Kiers, Joshua. Marian University; Estados UnidosFil: Kiers, Ken. Taylor University; Estados UnidosFil: Szynkman, Alejandro Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Tarutina, Tatiana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaAmerican Physical Society2023-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/233580Kiers, Joshua; Kiers, Ken; Szynkman, Alejandro Andrés; Tarutina, Tatiana; Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case; American Physical Society; Physical Review D; 107; 7; 4-2023; 1-222470-00102470-0029CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.107.075001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:35:21Zoai:ri.conicet.gov.ar:11336/233580instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:35:22.158CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case
title Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case
spellingShingle Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case
Kiers, Joshua
Neutrinos
Seesaw
Left-Right Model
title_short Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case
title_full Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case
title_fullStr Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case
title_full_unstemmed Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case
title_sort Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case
dc.creator.none.fl_str_mv Kiers, Joshua
Kiers, Ken
Szynkman, Alejandro Andrés
Tarutina, Tatiana
author Kiers, Joshua
author_facet Kiers, Joshua
Kiers, Ken
Szynkman, Alejandro Andrés
Tarutina, Tatiana
author_role author
author2 Kiers, Ken
Szynkman, Alejandro Andrés
Tarutina, Tatiana
author2_role author
author
author
dc.subject.none.fl_str_mv Neutrinos
Seesaw
Left-Right Model
topic Neutrinos
Seesaw
Left-Right Model
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Senjanović and Tello have analyzed how one could determine the neutrino Dirac mass matrix in the minimal left-right model, assuming that the mass matrices for the light and heavy neutrinos could be taken as inputs. They provided an analytical solution for the Dirac mass matrix in the case that the left-right symmetry is implemented via a generalized parity symmetry and that this symmetry remains unbroken in the Dirac-Yukawa sector. We extend the work of Senjanović and Tello to the case in which the generalized parity symmetry is broken in the Dirac-Yukawa sector. In this case, the elegant method outlined by Senjanović and Tello breaks down and we need to adopt a numerical approach. Several iterative approaches are described; these are found to work in some cases but to be highly unstable in others. A stable, prescriptive numerical algorithm is described that works in all but a vanishingly small number of cases. We apply this algorithm to numerical datasets that are consistent with current experimental constraints on neutrino masses and mixings. We also provide some additional context and supporting explanations for the case in which the parity symmetry is unbroken.
Fil: Kiers, Joshua. Marian University; Estados Unidos
Fil: Kiers, Ken. Taylor University; Estados Unidos
Fil: Szynkman, Alejandro Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Tarutina, Tatiana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description Senjanović and Tello have analyzed how one could determine the neutrino Dirac mass matrix in the minimal left-right model, assuming that the mass matrices for the light and heavy neutrinos could be taken as inputs. They provided an analytical solution for the Dirac mass matrix in the case that the left-right symmetry is implemented via a generalized parity symmetry and that this symmetry remains unbroken in the Dirac-Yukawa sector. We extend the work of Senjanović and Tello to the case in which the generalized parity symmetry is broken in the Dirac-Yukawa sector. In this case, the elegant method outlined by Senjanović and Tello breaks down and we need to adopt a numerical approach. Several iterative approaches are described; these are found to work in some cases but to be highly unstable in others. A stable, prescriptive numerical algorithm is described that works in all but a vanishingly small number of cases. We apply this algorithm to numerical datasets that are consistent with current experimental constraints on neutrino masses and mixings. We also provide some additional context and supporting explanations for the case in which the parity symmetry is unbroken.
publishDate 2023
dc.date.none.fl_str_mv 2023-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/233580
Kiers, Joshua; Kiers, Ken; Szynkman, Alejandro Andrés; Tarutina, Tatiana; Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case; American Physical Society; Physical Review D; 107; 7; 4-2023; 1-22
2470-0010
2470-0029
CONICET Digital
CONICET
url http://hdl.handle.net/11336/233580
identifier_str_mv Kiers, Joshua; Kiers, Ken; Szynkman, Alejandro Andrés; Tarutina, Tatiana; Disentangling the seesaw mechanism in the left-right model: An algorithm for the general case; American Physical Society; Physical Review D; 107; 7; 4-2023; 1-22
2470-0010
2470-0029
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.107.075001
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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