On neutrino masses and leptonic mixing

Fishbane, Paul M.; Kaus, Peter

doi:10.1088/0954-3899/25/8/307

Cited by 9 publications

(4 citation statements)

References 34 publications

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Order By: Relevance

“…The leading orders of Λ in each matrix element are the orders indicated in the work of Ramond, et al, [4] (and 'tuned' by Fishbane and Kaus [21]). This model suggests , within a super symmetric extension of the standard model, that the existence of mass hierarchies within fermionic sectors imply at least one additional U(1) family symmetry one of which must be anomalous, with a cancellation of its anomaly through the Green-Schwarz mechanism then implying relations across fermionic sectors.…”

Section: Determination Of the Neutrino Mass Matrix And Mixing Matrixmentioning

confidence: 99%

Neutrino Mass Matrix and Hierarchy

Kaus¹,

Meshkov²

2003

AIP Conference Proceedings

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We build a model to describe neutrinos based on strict hierarchy, incorporating as much as possible, the latest known data, for ∆ sol and ∆ atm , and for the mixing angles determined from neutrino oscillation experiments, including that from KamLAND. Since the hierarchy assumption is a statement about mass ratios, it lets us obtain all three neutrino masses. We obtain a mass matrix, M ν and a mixing matrix, U, where both M ν and U are given in terms of powers of Λ, the analog of the Cabibbo angle λ in the Wolfenstein representation, and two parameters, ρ and κ, each of order one. The expansion parameter, Λ, is defined by Λ 2 = m 2 /m 3 = √ (∆ sol /∆ atm ) ≈ 0.16, and ρ expresses our ignorance of the lightest neutrino mass m 1 , (m 1 = ρΛ 4 m 3 ), while κ scales s 13 to the experimental upper limit, s 13 = κΛ 2 ≈ 0.16κ. These matrices are similar in structure to those for the quark and lepton families, but with Λ about 1.6 times larger than the λ for the quarks and charged leptons. The upper limit for the effective neutrino mass in double β-decay experiments is 4 ×10 −3 eV if s 13 = 0 and 6 ×10 −3 eV if s 13 is maximal. The model, which is fairly unique, given the hierarchy assumption and the data, is compared to supersymmetric extension and texture zero models of mass generation.

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Section: Determination Of the Neutrino Mass Matrix And Mixing Matrixmentioning

confidence: 99%

Neutrino Mass Matrix and Hierarchy

Kaus¹,

Meshkov²

2003

AIP Conference Proceedings

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“…We follow this representation in the present calculation. In some Grand Unified Theory such as SO(10) GUT , the possible structure [16] of m LR = diag(λ m , λ n , 1)v , where v is the overall scale factor representing electroweak vacuum expectation values. In the present calculation we take λ = 0.3 and v = 174GeV .…”

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confidence: 99%

Type-II seesaw mass models and baryon asymmetry

2007

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We compute and also compare the contributions of canonical and noncanonical mass terms towards baryon asymmetry by considering type-II seesaw mass models of neutrinos: Degenerate(3 varieties) , Normal hierarchical and Inverted hierarchical(2 varieties) . We have shown that for particular choices of parameter 'γ'( the so-called discriminator) for different neutrino mass models, the baryon asymmetry is largely dominated by canonical term. Within such type-II seesaw scenario, we find normal hierarchical (NHT3) mass model as the most favourable choice of nature.

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“…Moreover, for this branch the ratio m ν µ /m ν τ is nearly independent of R. This is the branch that interests us. (See [11] for a second, nonhierarchical, solution.) The solution on the branch of interest is 3) and (9).…”

mentioning

confidence: 99%

“…Thus we remark only briefly on their results, which for the masses can be summarized as τ µ = 0.25-1 eV 2 and µe = 10 −4 -10 −3 eV 2 . (11) Including the stated errors of these analyses a reasonable choice for these numbers is τ µ = 0.5 eV 2 and µe = 7 × 10 −4 eV 2 . These numbers are consistent with a hierarchical structure, and given that the ratio of the is then approximately the ratio of the mass squares, we can interpret the ratio µe / τ µ as λ 4 .…”

mentioning

confidence: 99%