Generation permutation symmetry and the quark mixing matrix

Harrison, P. F.; Scott, W. G.

doi:10.1016/0370-2693(94)90170-8

Cited by 34 publications

(23 citation statements)

References 26 publications

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“…The experimental best fit values for the mixing parameters are very close to the values arising from the so-called "tri-bimaximal" mixing (TBM) matrix [4],…”

Section: Finite Group Family Symme-triessupporting

confidence: 62%

Neutrino Mass Models: circa 2008

Chen

Mahanthappa

2009

Nuclear Physics B - Proceedings Supplements

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We review recent developments in theoretical models for neutrino masses and mixing. Emphases are given to models based on finite group family symmetries. In particular, we describe one recent model based on SU (5), in which both the tri-bimaximal neutrino mixing and realistic CKM matrix are generated. We also discuss two models based on a non-anomalous U (1)F family symmetry in which the gauge anomalies are cancelled due to the presence of the right-handed neutrinos. In one of these models, the seesaw scale can be as low as a TeV; in the other model, which is based on SUSY SU (5), the U (1)F symmetry forbids Higgs-mediated proton decays.

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“…The experimental best fit values for the mixing parameters are very close to the values arising from the so-called "tri-bimaximal" mixing (TBM) matrix [4],…”

Section: Finite Group Family Symme-triessupporting

confidence: 62%

Neutrino Mass Models: circa 2008

Chen

Mahanthappa

2009

Nuclear Physics B - Proceedings Supplements

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“…Maximal mixing (whether trimaximal or bimaximal) undeniably suggests permutation symmetries [28]. We postulate that, in a particular weak basis, the mass-matrices take the following (permuation symmetric) forms:…”

Section: Simple Mass Matricesmentioning

confidence: 99%

Tri-bimaximal mixing and the neutrino oscillation data

2002

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Following recent results from the SNO solar neutrino experiment and the K2K long-baseline neutrino experiment, the combined existing data on neutrino oscillations now point strongly to a specific form for the lepton mixing matrix, with effective bimaximal mixing of ν µ and ν τ at the atmospheric scale and effective trimaximal mixing for ν e with ν µ and ν τ at the solar scale (hence 'tri-bimaximal' mixing). We give simple mass-matrices leading to tri-bimaximal mixing, and discuss its relation to the Fritzsch-Xing democratic ansatz.

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“…Following Ref. [1], we will work in a particular weak basis in which the mass-matrix for the charged leptons takes the familiar 3 × 3 'circulant' form [8]:…”

Section: Tri-bimaximal Mixing and The Circulant Basismentioning

confidence: 99%

Symmetries and generalisations of tri-bimaximal neutrino mixing

2002

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Tri-bimaximal mixing is a specific lepton mixing ansatz, which has been shown to account very successfully for the established neutrino oscillation data. Working in a particular basis (the 'circulant basis'), we identify three independent symmetries of tri-bimaximal mixing, which we exploit to set the tri-bimaximal hypothesis in context, alongside some simple, phenomenologically interesting CP -conserving and CP -violating generalisations.

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Generation permutation symmetry and the quark mixing matrix

Cited by 34 publications

References 26 publications

Neutrino Mass Models: circa 2008

Neutrino Mass Models: circa 2008

Tri-bimaximal mixing and the neutrino oscillation data

Symmetries and generalisations of tri-bimaximal neutrino mixing

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