Neutrino oscillation experiments and limits on lepton-number and lepton-flavor violating processes

Abstract

Using a three neutrino framework we investigate bounds for the effective Majorana neutrino mass matrix. The mass measured in neutrinoless double beta decay is its (11) element. Lepton-number and -flavor violating processes sensitive to each element are considered and limits on branching ratios or cross sections are given. Those processes include ${\mu }^{-}{e}^{+}$ conversion, $K^{+}\to {\pi }^{-}{\mu }^{+}{\mu }^{+}$ or recently proposed high-energy scattering processes at HERA. Including all possible mass schemes, the three solar solutions and other allowed possibilities, there is a total of 80 mass matrices. The obtained indirect limits are up to 14 orders of magnitude more stringent than direct ones. It is investigated how neutrinoless double beta decay may judge between different mass and mixing schemes as well as solar solutions. Prospects for detecting processes depending on elements of the mass matrix are also discussed.

16 pages, 2 figures

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• Signal of neutrinoless double beta decay, neutrino spectrum and oscillation scenarios
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• Majorana Neutrino Masses from Neutrinoless Double Beta Decay and Cosmology
• Bounds on effective Majorana neutrino masses at HERA
• A New Measurement of the Rare Decay $K^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$
• New limits on effective Majorana neutrino masses from rare kaon decays
• Nature of neutrinos in the light of present and future experiments
• W Production and the Search for Events with an Isolated High-Energy Lepton and Missing Transverse Momentum at HERA

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• A Parametrization for the Neutrino Mixing Matrix
• Structure of neutrino mass matrix and CP violation
• Cancellations in Neutrinoless Double Beta Decay and the Neutrino Mass Matrix
• Improved Limit on theta_{13} and Implications for Neutrino Masses in Neutrino-less Double Beta Decay and Cosmology
• Leptogenesis in left-right symmetric theories
• Neutrino mass matrix: inverted hierarchy and CP violation
• Minimal Mass Matrices for Dirac Neutrinos
• Scaling in the Neutrino Mass Matrix
• Neutrinoless Double Beta Decay and Future Neutrino Oscillation Precision Experiments
• Lepton-Number Violating Decays of Heavy Mesons
• Seesaw mechanism, baryon asymmetry and neutrinoless double beta decay
• Complementary Ansatz for the neutrino mass matrix
• Leptogenesis and low energy observables in left-right symmetric models
• Neutrino mass matrices leaving no trace
• Neutrino oscillations and neutrinoless double beta decay
• Neutrinoless double beta decay with and without Majoron-like boson emission in a 3-3-1 model
• Majorana Neutrino Masses from Neutrinoless Double-Beta Decays and Lepton-Number-Violating Meson Decays
• Search for Majorana Neutrino Signal in $B_c$ Meson Rare Decay
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• Signatures of heavy Majorana neutrinos and HERA's isolated lepton events
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• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Getting Information on |U_{e3}|^2 from Neutrino-less Double Beta Decay