2001
DOI: 10.1088/0954-3899/27/8/304
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Can LSND be included in a three-neutrino framework?

Abstract: We study the special features emerging from a three lepton generation analysis of the available neutrino oscillation data (solar, atmospheric and LSND). First we find that it is possible to explain all three sets of data in terms of the standard left handed neutrinos without the need of sterile neutrinos.Second we find a significant difference in the mass matrix extracted from the data, depending on the analysis (without or with LSND), if the mass of the lightest neutrino, which cannot be determined from the n… Show more

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Cited by 6 publications
(3 citation statements)
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References 46 publications
(69 reference statements)
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“…In order to reproduce the experimental results from the solar and atmospheric neutrinos data combination, with three active neutrinos and no sterile neutrino, one must require a large ν µ − ν τ mass hierarchy, m νµ /m ντ = χ ≈ 7 − 40, and a large mixing angle, sin 2 (2θ) > 0.82. The renormalization group evolution produces sneutrino VEVs, General fits to the neutrino oscillation data, using the combined tree and one-loop level contributions, are attempted in several works [235,236,237,238] with the purpose to determining the allowed ranges for the various RPV coupling constants. Haug et al, [236] compare the combined tree and one-loop level contributions from the bilinear interactions and the trilinear interactions, λ i33 , λ ′ i33 , with a phenomenological light neutrinos mass matrix with entries representing upper limits inferred from the oscillation experiments and the ββ 0ν measurements.…”
Section: Combined Bilinear and Trilinear Interactionsmentioning
confidence: 99%
See 1 more Smart Citation
“…In order to reproduce the experimental results from the solar and atmospheric neutrinos data combination, with three active neutrinos and no sterile neutrino, one must require a large ν µ − ν τ mass hierarchy, m νµ /m ντ = χ ≈ 7 − 40, and a large mixing angle, sin 2 (2θ) > 0.82. The renormalization group evolution produces sneutrino VEVs, General fits to the neutrino oscillation data, using the combined tree and one-loop level contributions, are attempted in several works [235,236,237,238] with the purpose to determining the allowed ranges for the various RPV coupling constants. Haug et al, [236] compare the combined tree and one-loop level contributions from the bilinear interactions and the trilinear interactions, λ i33 , λ ′ i33 , with a phenomenological light neutrinos mass matrix with entries representing upper limits inferred from the oscillation experiments and the ββ 0ν measurements.…”
Section: Combined Bilinear and Trilinear Interactionsmentioning
confidence: 99%
“…Haug et al, [236] compare the combined tree and one-loop level contributions from the bilinear interactions and the trilinear interactions, λ i33 , λ ′ i33 , with a phenomenological light neutrinos mass matrix with entries representing upper limits inferred from the oscillation experiments and the ββ 0ν measurements. The subsequent work by Haug et al, [238] examines the compatibility of the LSND data with the three light neutrino generations scenario. Using an extended analysis of the oscillation data accounting for the constraints from ν e + e inclusive scattering reactions on the neutrino CP phases in the effective neutrino mass, < m νe >= i V ′ †2 ei m ν i e iλ i , it is found that the effective mass obtained in the fit including the LSND data is an order of magnitude larger than that obtained in the fit excluding it.…”
Section: Combined Bilinear and Trilinear Interactionsmentioning
confidence: 99%
“…This has been done in a number of papers, see e.g. the recent work by Haug et al [32] and references therein. They cannot determine, however, the scale of the masses, e.g.…”
Section: Introductionmentioning
confidence: 99%