A redetermination of the neutrino mass-squared difference in tri-maximal mixing with terrestrial matter effects

Harrison, P. F.; Perkins, D. H.; Scott, W. G.

doi:10.1016/s0370-2693(99)00438-4

Cited by 176 publications

(160 citation statements)

References 36 publications

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“…As indicated in Section 1, intermediate baseline reactor experiments, such as CHOOZ [15] and PALO-VERDE [16], in fact provide the best limits on ν e (actuallyν e ) mixing at the atmospheric scale (in terms of the vacuum mixing matrix, the interpretation of the atmospheric experiments themselves can be seriously obscured by terrestrial matter effects, which tend to suppress ν e -mixing and enhance ν τ -mixing [19] in the high-energy limit). Reactor experiments, utilising very low energy (anti) neutrinos and with existing baselines much shorter than the matter-oscillation length in the Earth, turn out to be almost completely immune to matter effects [20].…”

Section: The Trend Of the Datamentioning

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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Section: The Trend Of the Datamentioning

confidence: 99%

Tri-bimaximal mixing and the neutrino oscillation data

2002

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“…2). In addition, we revealed that the conventional tri-bimaximal mixing (TBM) ansatz [45] is realized as a special case of the Z s 2 group with k = 2 , under which Z s 2 ⊗ Z µ−τ…”

Section: Solar Mixing Angle Not Affected By Soft Breakingmentioning

confidence: 99%

“…For instance, to predict the conventional tri-bimaximal mixing [45] only needs to assign |k| = 2 in our construction, leading to tan θ s = 1 √ 2…”

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confidence: 99%

Common origin of soft μ−τ and CP breaking in neutrino seesaw and the origin of matter

Yin

2010

J. Cosmol. Astropart. Phys.

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Neutrino oscillation data strongly support µ−τ symmetry as a good approximate flavor symmetry of the neutrino sector, which has to appear in any viable theory for neutrino mass-generation. The µ−τ breaking is not only small, but also the source of Dirac CP-violation. We conjecture that both discrete µ−τ and CP symmetries are fundamental symmetries of the seesaw Lagrangian (respected by interaction terms), and they are only softly broken, arising from a common origin via a unique dimension-3 Majorana mass-term of the heavy right-handed neutrinos. From this conceptually attractive and simple construction, we can predict the soft µ−τ breaking at low energies, leading to quantitative correlations between the apparently two small deviations θ 23 − 45 • and θ 13 − 0 • . This nontrivially connects the on-going measurements of mixing angle θ 23 with the upcoming experimental probes of θ 13 . We find that any deviation of θ 23 − 45 • must put a lower limit on θ 13 . Furthermore, we deduce the low energy Dirac and Majorana CP violations from a common soft-breaking phase associated with µ−τ breaking in the neutrino seesaw. Finally, from the soft CP breaking in neutrino seesaw we derive the cosmological CP violation for the baryon asymmetry via leptogenesis. We fully reconstruct the leptogenesis CP-asymmetry from the low energy Dirac CP phase and establish a direct link between the cosmological CP-violation and the low energy Jarlskog invariant. We predict new lower and upper bounds on the θ 13 mixing angle,• . In addition, we reveal a new hidden symmetry that dictates the solar mixing angle θ 12 by its group-parameter, and includes the conventional tri-bimaximal mixing as a special case, allowing deviations from it.

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“…Harrison, D.H. Perkins and W.G. Scott [20] before the SNO and KamLAND data came out, and had been studied by them and by Z.-Z. Xing [21,22].…”

Section: Note Addedmentioning

confidence: 99%

Some simple mixing and mass matrices for neutrinos

Zee

2003

Physics Letters B

309

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We argue that the accumulated neutrino data, including recent results from KamLAND and K2K, point to a neutrino mixing matrix with (V 11 , V 21 , V 31 ;. We propose some simple neutrino mass matrices which predict such a mixing matrix.In this brief note, we suggest that the accumulating neutrino data [1][2][3], including the recent results from KamLAND [4] and K2K [5], point to a relatively simple neutrino mass matrix. The data can be explained by oscillations between three active neutrinos with the atmospheric neutrino and K2K data explained by oscillation between the muon and the tauon neutrinos, and the solar neutrino and KamLAND data explained by the oscillation between the electron and muon neutrinos. Following standard convention, let us denote the neutrinos current eigenstates, coupled to the charged leptons by the W bosons, by ν α (α = e, µ, τ ) and the neutrino mass eigenstates by ν i (i = 1, 2, 3). We will take the neutrinos to be Majorana as seems likely [6], and thus the neutrino mass matrix M αβ is symmetric in the basis of the current eigenstates. We will also for simplicity assume CP conservation so that M is real. Thus, M is diagonalized by an orthogonal transformation

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A redetermination of the neutrino mass-squared difference in tri-maximal mixing with terrestrial matter effects

Cited by 176 publications

References 36 publications

Tri-bimaximal mixing and the neutrino oscillation data

Tri-bimaximal mixing and the neutrino oscillation data

Common origin of soft μ−τ and CP breaking in neutrino seesaw and the origin of matter

Some simple mixing and mass matrices for neutrinos

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