Neutrino mass and mixing: from theory to experiment

The origin of fermion mass hierarchies and mixings is one of the unresolved and most difficult problems in high-energy physics. One possibility to address the flavour problems is by extending the standard model to include a family symmetry. In the recent years it has become very popular to use non-A...

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Main Authors: Stephen F King, Alexander Merle, Stefano Morisi, Yusuke Shimizu, Morimitsu Tanimoto
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/4/045018
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author Stephen F King
Alexander Merle
Stefano Morisi
Yusuke Shimizu
Morimitsu Tanimoto
author_facet Stephen F King
Alexander Merle
Stefano Morisi
Yusuke Shimizu
Morimitsu Tanimoto
author_sort Stephen F King
collection DOAJ
description The origin of fermion mass hierarchies and mixings is one of the unresolved and most difficult problems in high-energy physics. One possibility to address the flavour problems is by extending the standard model to include a family symmetry. In the recent years it has become very popular to use non-Abelian discrete flavour symmetries because of their power in the prediction of the large leptonic mixing angles relevant for neutrino oscillation experiments. Here we give an introduction to the flavour problem and to discrete groups that have been used to attempt a solution for it. We review the current status of models in light of the recent measurement of the reactor angle, and we consider different model-building directions taken. The use of the flavons or multi-Higgs scalars in model building is discussed as well as the direct versus indirect approaches. We also focus on the possibility of experimentally distinguishing flavour symmetry models by means of mixing sum rules and mass sum rules. In fact, we illustrate in this review the complete path from mathematics, via model building, to experiments, so that any reader interested in starting work in the field could use this text as a starting point in order to obtain a broad overview of the different subject areas.
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spelling doaj.art-c2ac66f0124b428787d0cbeeff39eddd2023-08-08T11:24:48ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116404501810.1088/1367-2630/16/4/045018Neutrino mass and mixing: from theory to experimentStephen F King0Alexander Merle1Stefano Morisi2Yusuke Shimizu3Morimitsu Tanimoto4Physics and Astronomy, University of Southampton , Southampton, SO17 1BJ, UKPhysics and Astronomy, University of Southampton , Southampton, SO17 1BJ, UKInstitut für Theoretische Physik und Astrophysik, Universität Würzburg , D-97074 Würzburg, GermanyMax-Planck-Institut für Kernphysik , Saupfercheckweg 1, D-69117 Heidelberg, GermanyDepartment of Physics, Niigata University , Niigata 950-2181, JapanThe origin of fermion mass hierarchies and mixings is one of the unresolved and most difficult problems in high-energy physics. One possibility to address the flavour problems is by extending the standard model to include a family symmetry. In the recent years it has become very popular to use non-Abelian discrete flavour symmetries because of their power in the prediction of the large leptonic mixing angles relevant for neutrino oscillation experiments. Here we give an introduction to the flavour problem and to discrete groups that have been used to attempt a solution for it. We review the current status of models in light of the recent measurement of the reactor angle, and we consider different model-building directions taken. The use of the flavons or multi-Higgs scalars in model building is discussed as well as the direct versus indirect approaches. We also focus on the possibility of experimentally distinguishing flavour symmetry models by means of mixing sum rules and mass sum rules. In fact, we illustrate in this review the complete path from mathematics, via model building, to experiments, so that any reader interested in starting work in the field could use this text as a starting point in order to obtain a broad overview of the different subject areas.https://doi.org/10.1088/1367-2630/16/4/045018flavour symmetryneutrino massesneutrino mixing14.60.Pq12.60.Jv14.80.Cp.
spellingShingle Stephen F King
Alexander Merle
Stefano Morisi
Yusuke Shimizu
Morimitsu Tanimoto
Neutrino mass and mixing: from theory to experiment
New Journal of Physics
flavour symmetry
neutrino masses
neutrino mixing
14.60.Pq
12.60.Jv
14.80.Cp.
title Neutrino mass and mixing: from theory to experiment
title_full Neutrino mass and mixing: from theory to experiment
title_fullStr Neutrino mass and mixing: from theory to experiment
title_full_unstemmed Neutrino mass and mixing: from theory to experiment
title_short Neutrino mass and mixing: from theory to experiment
title_sort neutrino mass and mixing from theory to experiment
topic flavour symmetry
neutrino masses
neutrino mixing
14.60.Pq
12.60.Jv
14.80.Cp.
url https://doi.org/10.1088/1367-2630/16/4/045018
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AT alexandermerle neutrinomassandmixingfromtheorytoexperiment
AT stefanomorisi neutrinomassandmixingfromtheorytoexperiment
AT yusukeshimizu neutrinomassandmixingfromtheorytoexperiment
AT morimitsutanimoto neutrinomassandmixingfromtheorytoexperiment