Further evidence for threefold maximal lepton mixing and a hierarchical spectrum of neutrino mass-squared differences

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

doi:10.1016/s0370-2693(97)00105-6

Cited by 41 publications

(8 citation statements)

References 60 publications

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“…In addition, study of the azimuthal and zenith angle dependence of electrons should be a sensitive test of whether (as suggested in Refs. [15,14]) oscillations on terrestrial scales also involve electron neutrinos to some extent.…”

Section: Resultsmentioning

confidence: 99%

Geomagnetic effects on atmospheric neutrinos

1998

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Geomagnetic effects distort the zenith angle distribution of sub-GeV and few-GeV atmospheric neutrinos, breaking the up-down symmetry that would be present in the absence of neutrino oscillations and without a geomagnetic field. The geomagnetic effects also produce a characteristic azimuthal dependence of the fluxes, related to the well-known east-west effect, that should be detectable in neutrino experiments of sufficiently large mass. We discuss these effects quantitatively. Because the azimuthal dependence is in first-order independent of any oscillation effect, it is a useful diagnostic tool for studying possible systematic effects in the search for neutrino oscillations.

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Section: Resultsmentioning

confidence: 99%

Geomagnetic effects on atmospheric neutrinos

1998

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“…In the scheme of [43] all elements of the mixing matrix are assumed to be equal: 10). The 0νββ-mass is dominated by the contribution from the third state:…”

Section: Triple Maximal Mixing Schemementioning

confidence: 99%

Neutrino mass spectrum and neutrinoless double beta decay

Klapdor‐Kleingrothaus

2001

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The relations between the effective Majorana mass of the electron neutrino, $m_{ee}$, responsible for neutrinoless double beta decay, and the neutrino oscillation parameters are considered. We show that for any specific oscillation pattern $m_{ee}$ can take any value (from zero to the existing upper bound) for normal mass hierarchy and it can have a minimum for inverse hierarchy. This means that oscillation experiments cannot fix in general $m_{ee}$. Mass ranges for $m_{ee}$ can be predicted in terms of oscillation parameters with additional assumptions about the level of degeneracy and the type of hierarchy of the neutrino mass spectrum. These predictions for $m_{ee}$ are systematically studied in the specific schemes of neutrino mass and flavor which explain the solar and atmospheric neutrino data. The contributions from individual mass eigenstates in terms of oscillation parameters have been quantified. We study the dependence of $m_{ee}$ on the non-oscillation parameters: the overall scale of the neutrino mass and the relative mass phases. We analyze how forthcoming oscillation experiments will improve the predictions for $m_{ee}$. On the basis of these studies we evaluate the discovery potential of future \znbb decay searches. The role \znbb decay searches will play in the reconstruction of the neutrino mass spectrum is clarified. The key scales of $m_{ee}$, which will lead to the discrimination among various schemes are: $m_{ee} \sim 0.1$ eV and $m_{ee} \sim 0.005$ eV.Comment: 47 pages, 35 figure

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“…Clearly, neutrino oscillation experiments have come a long way since one could countenance the idea of trimaximal mixing for all three neutrino species [19,39,40]. There is today however, still the real prospect that one neutrino mass eigenstate, ν 2 , is indeed trimaximally mixed, and this hints at deeper symmetries beyond the Standard Model.…”

Section: Hep-ex/0511201 Slac-pub-11636mentioning

confidence: 99%

Simplified Unitarity Triangles for the Lepton Sector

Bjorken¹,

Harrison²,

Scott³

2006

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Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the ν2 mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of freedom, which eschews mixing angles, dealing instead, directly with the complex parameter Ue3 of the mixing matrix. Unitarity triangles then take a particularly simple form, which we hope will faciltate comparison with experiment.

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Further evidence for threefold maximal lepton mixing and a hierarchical spectrum of neutrino mass-squared differences

Cited by 41 publications

References 60 publications

Geomagnetic effects on atmospheric neutrinos

Geomagnetic effects on atmospheric neutrinos

Neutrino mass spectrum and neutrinoless double beta decay

Simplified Unitarity Triangles for the Lepton Sector

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