The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing

We show that there is a minimal discrete symmetry which leads to the extended flavour democracy scenario constraining the Dirac neutrino, the charged lepton and the Majorana neutrino mass term ($M_R$) to be all proportional to the democratic matrix, with all elements equal. In particular, this discr...

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Detalles Bibliográficos
Autores principales: Branco, G.C., Silva-Marcos, J.I.
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(01)01472-1
http://cds.cern.ch/record/504272
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author Branco, G.C.
Silva-Marcos, J.I.
author_facet Branco, G.C.
Silva-Marcos, J.I.
author_sort Branco, G.C.
collection CERN
description We show that there is a minimal discrete symmetry which leads to the extended flavour democracy scenario constraining the Dirac neutrino, the charged lepton and the Majorana neutrino mass term ($M_R$) to be all proportional to the democratic matrix, with all elements equal. In particular, this discrete symmetry forbids other large contributions to $M_R$, such as a term proportional to the unit matrix, which would normally be allowed by a $S_{3L}\times S_{3R}$ permutation symmetry. This feature is crucial in order to obtain large leptonic mixing, without violating 't Hooft's, naturalness principle.
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spelling cern-5042722023-03-14T18:49:04Zdoi:10.1016/S0370-2693(01)01472-1http://cds.cern.ch/record/504272engBranco, G.C.Silva-Marcos, J.I.The Symmetry behind Extended Flavour Democracy and Large Leptonic MixingParticle Physics - PhenomenologyWe show that there is a minimal discrete symmetry which leads to the extended flavour democracy scenario constraining the Dirac neutrino, the charged lepton and the Majorana neutrino mass term ($M_R$) to be all proportional to the democratic matrix, with all elements equal. In particular, this discrete symmetry forbids other large contributions to $M_R$, such as a term proportional to the unit matrix, which would normally be allowed by a $S_{3L}\times S_{3R}$ permutation symmetry. This feature is crucial in order to obtain large leptonic mixing, without violating 't Hooft's, naturalness principle.We show that there is a minimal discrete symmetry which leads to the extended flavour democracy scenario constraining the Dirac neutrino, the charged lepton and the Majorana neutrino mass term ($M_R$) to be all proportional to the democratic matrix, with all elements equal. In particular, this discreet symmetry forbids other large contributions to $M_R$, such as a term proportional to the unit matrix, which would normally be allowed by a $S_{3L}\times S_{3R}$ permutation symmetry. This feature is crucial in order to obtain large leptonic mixing, without violating 't Hooft's, naturalness principle.We show that there is a minimal discrete symmetry which leads to the extended flavour democracy scenario constraining the Dirac neutrino, the charged lepton and the Majorana neutrino mass term ($M_R$) to be all proportional to the democratic matrix, with all elements equal. In particular, this discreet symmetry forbids other large contributions to $M_R$, such as a term proportional to the unit matrix, which would normally be allowed by a $S_{3L}\times S_{3R}$ permutation symmetry. This feature is crucial in order to obtain large leptonic mixing, without violating 't Hooft's, naturalness principle.We show that there is a minimal discrete symmetry which leads to the extended flavour democracy scenario constraining the Dirac neutrino, the charged lepton and the Majorana neutrino mass term ( M R ) to be all proportional to the democratic matrix, with all elements equal. In particular, this discreet symmetry forbids other large contributions to M R , such as a term proportional to the unit matrix, which would normally be allowed by a S 3 L × S 3 R permutation symmetry. This feature is crucial in order to obtain large leptonic mixing, without violating 't Hooft's naturalness principle.hep-ph/0106125CERN-TH-2001-154CERN-TH-2001-154oai:cds.cern.ch:5042722001-06-12
spellingShingle Particle Physics - Phenomenology
Branco, G.C.
Silva-Marcos, J.I.
The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing
title The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing
title_full The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing
title_fullStr The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing
title_full_unstemmed The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing
title_short The Symmetry behind Extended Flavour Democracy and Large Leptonic Mixing
title_sort symmetry behind extended flavour democracy and large leptonic mixing
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/S0370-2693(01)01472-1
http://cds.cern.ch/record/504272
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