Theory of Neutrino Masses and Mixing

Author(s)
Walter Grimus
Abstract

We motivate the usage of finite groups as symmetries of the Lagrangian. After a presentation of basic group-theoretical concepts, we introduce the notion of characters and character tables in the context of irreducible representations and discuss their applications. We exemplify these theoretical concepts with the groups S 4 and A 4. Finally, we discuss the relation between tensor products of irreducible representations and Yukawa couplings and describe a model for tri-bimaximal lepton mixing based on A 4.

Organisation(s)
Particle Physics
Journal
Physics of Particles and Nuclei
Volume
42
Pages
566-576
No. of pages
11
ISSN
1063-7796
DOI
https://doi.org/10.1134/S1063779611040083
Publication date
2011
Peer reviewed
Yes
Austrian Fields of Science 2012
103034 Particle physics, 103019 Mathematical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/d43f3153-c79d-4a72-9833-057187b90ed7