Models of Neutrino Mass, Mixing and CP Violation

Abstract

In this topical review we argue that neutrino mass and mixing data motivates extending the Standard Model to include a non-Abelian discrete flavour symmetry in order to accurately predict the large leptonic mixing angles and CP violation. We begin with an overview of the Standard Model puzzles, followed by a description of some classic lepton mixing patterns. Lepton mixing may be regarded as a deviation from tri-bimaximal mixing, with charged lepton corrections leading to solar mixing sum rules, or tri-maximal lepton mixing leading to atmospheric mixing rules. We survey neutrino mass models, using a roadmap based on the open questions in neutrino physics. We then focus on the seesaw mechanism with right-handed neutrinos, where sequential dominance (SD) can account for large lepton mixing angles and CP violation, with precise predictions emerging from constrained SD (CSD). We define the flavour problem and discuss progress towards a theory of flavour using GUTs and discrete family symmetry. We classify models as direct, semidirect or indirect, according to the relation between the Klein symmetry of the mass matrices and the discrete family symmetry, in all cases focussing on spontaneous CP violation. Finally we give two examples of realistic and highly predictive indirect models with CSD, namely an A to Z of flavour with Pati-Salam and a fairly complete $A_4\times SU(5)$ SUSY GUT of flavour, where both models have interesting implications for leptogenesis.

52 pages, 17 figures. Invited Topical Review, version published in Journal of Physics G: Nuclear and Particle Physics

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Cited by in corpus (12)

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• Sensitivities and synergies of DUNE and T2HK
• CP Symmetry and Lepton Mixing from a Scan of Finite Discrete Groups
• Implications of residual CP symmetry for leptogenesis in a model with two right-handed neutrinos
• CP-odd invariants for multi-Higgs models: applications with discrete symmetry
• Phenomenological Implications of an SU(5) x S4 x U(1) SUSY GUT of Flavour
• Approaching Minimal Flavour Violation from an SU(5) x S4 x U(1) SUSY GUT
• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing
• Theory Review of Neutrino Models and CP Violation
• Theoretical Results on Neutrinos
• Aspects of Leptonic Flavour Mixing
• Flavour Symmetry Embedded -- GLoBES (FaSE-GLoBES)