English

Theory of Neutrino Masses and Mixing

High Energy Physics - Phenomenology 2015-05-20 v1

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.

Keywords

Cite

@article{arxiv.1101.0137,
  title  = {Theory of Neutrino Masses and Mixing},
  author = {Walter Grimus},
  journal= {arXiv preprint arXiv:1101.0137},
  year   = {2015}
}

Comments

23 pages, lecture presented at IV International Pontecorvo Neutrino Physics School, September 26 - October 6, 2010, Alushta, Crimea, Ukraine