Neutrino mass and mixing with discrete symmetry

By S. King, C. Luhn. Reports on progress in physics. Physical Society, 2013

897 citations recorded by the source corpus.

This is a review paper about neutrino mass and mixing and flavour model building strategies based on discrete family symmetry. After a pedagogical introduction and overview of the whole of neutrino physics, we focus on the PMNS mixing matrix and the latest global fits following the Daya Bay and RENO experiments which measure the reactor angle. We then describe the simple bimaximal, tri-bimaximal and golden ratio patterns of lepton mixing and the deviations required for a non-zero reactor angle, with solar or atmospheric mixing sum rules resulting from charged lepton corrections or residual trimaximal mixing. The different types of see-saw mechanism are then reviewed as well as the sequential dominance mechanism. We then give a mini-review of finite group theory, which may be used as a discrete family symmetry broken by flavons either completely, or with different subgroups preserved in the neutrino and charged lepton sectors. These two approaches are then reviewed in detail in separate chapters including mechanisms for flavon vacuum alignment and different model building strategies that have been proposed to generate the reactor angle. We then briefly review grand unified theories (GUTs) and how they may be combined with discrete family symmetry to describe all quark and lepton masses and mixing. Finally, we discuss three model examples which combine an SU(5) GUT with the discrete family symmetries A4, S4 and Δ(96).

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/651aa9cff43cbcf7b18c235881166339d8cef33f

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In Nuclear and High Energy Physics

1. Z. Xing
2. S. Petcov
3. P. Novichkov
4. A. Titov
5. J. Penedo
6. S. King
7. Gui-Jun Ding
8. C. Luhn

Citations in the corpus

• Generalised CP symmetry in modular-invariant models of flavour (2019, background): “However, the observed pattern of neutrino mixing with two large and one small (but non-zero) angles suggests that a non-Abelian discrete flavour symmetry can be at work (see [1–4] for reviews).”
• Spontaneous CP violation from vacuum alignment in S4 models of leptons (2013, methodology): “The models presented in this paper provide a generalisation for the direct models reviewed in [8] to include CP symmetry.”
• Flavor structures of charged fermions and massive neutrinos (2019, background): “So far one has examined many simple discrete flavor symmetries, such as Z2, Z3, S 3, S 4, A4, A5, D4, D5, Q4, Q6, ∆(27), ∆(48) and T ′, to interpret the experimental data on flavor mixing and CP violation [129, 130, 131, 132].”
• Building and testing models with extended Higgs sectors (2017, background): “A detailed description of the plethora of neutrino mass models, many of which were based on several Higgs doublets or triplets as well as on multiple gauge-singlet scalars called flavons, can be found in the reviews of that epoch [128, 129] and in the more recent ones [130, 131, 132, 133].”
• Modular A5 symmetry for flavour model building (2018, neutral): “, [4–7]).”