Theory of Neutrino Masses and Mixing

Understand

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.