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Theory of Neutrino Masses and Mixing

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arxiv 1101.0137 v1 pith:WF6JIKKN submitted 2010-12-30 hep-ph

Theory of Neutrino Masses and Mixing

classification hep-ph
keywords conceptsdiscussgroupsirreduciblemixingrepresentationsapplicationsbasic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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