Structure of neutrino mass matrix and CP-violation

Frigerio, Michele; Smirnov, A. Yu.

doi:10.1016/s0550-3213(02)00570-9

Cited by 74 publications

(44 citation statements)

References 66 publications

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“…Being a symmetric matrix, m ν contains six independent and complex entries, corresponding to nine physical parameters. Several analyzes [3,4,5] have been performed in order to study the form of the neutrino mass matrix as allowed by current data. Reconstructing m ν is possible since for Majorana neutrinos -in contrast to the quark sector -the mass matrix is in general symmetric.…”

Section: Introductionmentioning

confidence: 99%

Elements of the neutrino mass matrix: Allowed ranges and implications of texture zeros

2006

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We study the range of the elements of the neutrino mass matrix m ν in the charged lepton basis. Neutrino-less double beta decay is sensitive to the ee element (the effective mass) of m ν . We then analyze the phenomenological implications of single texture zeros. In particular, interesting predictions for the effective mass can be obtained, in the sense that typically only little cancellation due to the Majorana phases is expected. Some cases imply constraints on the atmospheric neutrino mixing angle. *

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Section: Introductionmentioning

confidence: 99%

Elements of the neutrino mass matrix: Allowed ranges and implications of texture zeros

2006

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“…With the present accuracy of measurements of the parameters, a sharp difference between dominant and subdominant elements may not exist and some moderate hierarchy of elements with the unique expansion parameter 0.6 -0.7 is realized [39].…”

Section: Extreme Casesmentioning

confidence: 93%

“…Results of reconstruction show [39] that a large variety of different structures of mass matrices is possible, depending strongly on the unknown m 1 , type of mass hierarchy and Majorana phases. The dependence on sin θ 13 and δ is relatively weak.…”

Section: B Reconstructing Neutrino Mass Matrixmentioning

confidence: 99%

Neutrino mass and New physics

Smirnov

2006

J. Phys.: Conf. Ser.

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We review the present state and future outlook of our understanding of neutrino masses and mixings. We discuss what we think are the most important perspectives on the plausible and natural scenarios for neutrinos and attempt to throw light onto the flavor problem of quarks and leptons. This review focuses on the seesaw mechanism, which fits into a big picture of particle physics such as supersymmetry and grand unification providing a unified approach to the flavor problem of quarks and leptons. We argue that in combination with family symmetries, this may be at the heart of a unified understanding of the flavor puzzle. We also discuss other new physics ideas such as neutrinos in models with extra dimensions and possible theoretical implications of sterile neutrinos. We outline some tests for the various schemes.

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“…(3.2), (3.3) and (3.5)) can be rewritten as functions of the low-energy observables using the expressions of m αβ in terms of the masses and mixing of light neutrinos [21,22,23]. In the limit θ 13 = 0 and θ 23 = π/4, we find from Eq.…”

Section: The Generic Casementioning

confidence: 99%

“…Using this phenomenological information one can, to a large extent, reconstruct the mass matrix m, just by inserting the data (2.3) -(2.4) into Eq. (2.1) [21,22,23]. A significant freedom still exists due to the unknown absolute mass scale |m 1 | and CP-violating phases ρ, σ.…”

Section: Low Energy Data and Structure Of Light Neutrino Mass Matrixmentioning

confidence: 99%

Probing the seesaw mechanism with neutrino data and leptogenesis

Frigerio

2004

Phys. Atom. Nuclei

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In the framework of the seesaw mechanism with three heavy right-handed Majorana neutrinos and no Higgs triplets we carry out a systematic study of the structure of the right-handed neutrino sector. Using the current low-energy neutrino data as an input and assuming hierarchical Dirac-type neutrino masses m Di , we calculate the masses M i and the mixing of the heavy neutrinos. We confront the inferred properties of these neutrinos with the constraints coming from the requirement of a successful baryogenesis via leptogenesis. In the generic case the masses of the right-handed neutrinos are highly hierarchical:Di ; the lightest mass is M 1 ≈ 10 3 − 10 6 GeV and the generated baryon-to-photon ratio η B 10 −14 is much smaller than the observed value. We find the special cases which correspond to the level crossing points, with maximal mixing between two quasi-degenerate right-handed neutrinos. Two level crossing conditions are obtained: m ee ≈ 0 (1-2 crossing) and d 12 ≈ 0 (2-3 crossing), where m ee and d 12 are respectively the 11-entry and the 12-subdeterminant of the light neutrino mass matrix in the basis where the neutrino Yukawa couplings are diagonal. We show that sufficient lepton asymmetry can be produced only in the 1-2 crossing where M 1 ≈ M 2 ≈ 10 8 GeV, M 3 ≈ 10 14 GeV and (M 2 − M 1 )/M 2 10 −5 .

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Structure of neutrino mass matrix and CP-violation

Cited by 74 publications

References 66 publications

Elements of the neutrino mass matrix: Allowed ranges and implications of texture zeros

Elements of the neutrino mass matrix: Allowed ranges and implications of texture zeros

Neutrino mass and New physics

Probing the seesaw mechanism with neutrino data and leptogenesis

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