The DOI matches its Crossref record; 99 of the 99 references it cites were found in a registry or an index.
Neutrino mass and mixing with discrete symmetry
Open accessAbstract
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).
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The hierarchy problem and new dimensions at a millimeter
Arkani–Hamed, N., Dimopoulos, S., & Dvali, G. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00466-3 · Cited by 6,563
Beringer, J., Arguin, J. F., Barnett, R. M., Copic, K., Dahl, O., Groom, D. E., Lin, C. J., Lys, J., Murayama, H., Wohl, C. G., et al. (2012) · Physical Review D · doi:10.1103/physrevd.86.010001 · Cited by 5,978
Neutrino Mass and Spontaneous Parity Nonconservation
Mohapatra, R. N., & Senjanović, G. (1980) · Physical Review Letters · doi:10.1103/physrevlett.44.912 · Cited by 5,851
Evidence for Oscillation of Atmospheric Neutrinos
Fukuda, Y., Hayakawa, T., Ichihara, E., Inoue, K., Ishihara, K., Ishino, H., Itow, Y., Kajita, T., Kameda, J., Kasuga, S., et al. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.1562 · Cited by 5,067
μ→eγ at a rate of one out of 109 muon decays?
Minkowski, P. (1977) · Physics Letters B · doi:10.1016/0370-2693(77)90435-x · Cited by 4,720
Neutrino oscillations in matter
Wolfenstein, L. (1978) · Physical Review D · doi:10.1103/physrevd.17.2369 · Cited by 4,125
Remarks on the unified model of elementary particles
Maki, Z., Nakagawa, M., & Sakata, S. (1962) · Progress of Theoretical Physics · doi:10.1143/ptp.28.870 · Cited by 3,355
Neutrino masses in SU(2) ⊗ U(1) theories
Schechter, J., & Valle, J. W. F. (1980) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.22.2227 · Cited by 3,347
Ahmad, Q. R., Allen, R. C., Andersen, T. C., D.Anglin, J., Barton, J. C., Beier, E. W., Bercovitch, M., Bigu, J., Biller, S. D., Black, R. A., et al. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.011301 · Cited by 2,990
First Results from KamLAND: Evidence for Reactor Antineutrino Disappearance
Eguchi, K., Enomoto, S., Furuno, K., Goldman, J., Hanada, H., Ikeda, H., Ikeda, K., Inoue, K., Ishihara, K., Itoh, W., et al. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.021802 · Cited by 2,701
Cited by
Long-lived particles at the energy frontier: the MATHUSLA physics case
Curtin, D., Drewes, M., McCullough, M., Meade, P., Mohapatra, R. N., Shelton, J., Shuve, B., Accomando, E., Alpigiani, C., Antusch, S., et al. (2019) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab28d6 · Cited by 384
Flavor structures of charged fermions and massive neutrinos
Xing, Z.-Z. (2020) · Physics Reports · doi:10.1016/j.physrep.2020.02.001 · Cited by 294
Metadata
- Authors
- King, S. F., & Luhn, C.
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 2013-05-01
- Volume
- 76
- Issue
- 5
- Pages
- 056201
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W2002954796
- Cited by
- 828
- References
- 99
- FWCI
- 45.18
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Neutrino mass and mixing with discrete symmetry. https://app.cochat.ai/papers/10.1088/0034-4885/76/5/056201
- The paper
- King, S. F., & Luhn, C. (2013). Neutrino mass and mixing with discrete symmetry. Reports on Progress in Physics. https://doi.org/10.1088/0034-4885/76/5/056201
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
