Neutrino Mass Spectrum with ${\nu }_{\mu }$ $\to$ ${\nu }_s$ Oscillations of Atmospheric Neutrinos

Abstract

We consider the ``standard'' spectrum of the active neutrinos (characterized by strong mass hierarchy and small mixing) with additional sterile neutrino, ${\nu }_s$. The sterile neutrino mixes strongly with the muon neutrino, so that ${\nu }_{\mu }\leftrightarrow {\nu }_s$ oscillations solve the atmospheric neutrino problem. We show that the parametric enhancement of the ${\nu }_{\mu }\leftrightarrow {\nu }_s$ oscillations occurs for the high energy atmospheric neutrinos which cross the core of the Earth. This can be relevant for the anomaly observed by the MACRO experiment. Solar neutrinos are converted both to ${\nu }_{\mu }$ and ${\nu }_s$. The heaviest neutrino ($\approx {\nu }_{\tau }$) may compose the hot dark matter of the Universe. Phenomenology of this scenario is elaborated and crucial experimental signatures are identified. We also discuss properties of the underlying neutrino mass matrix.

Revtex, 30 pages, Figure 5 and discussion of supernova neutrinos in sect. 6 are corrected. One reference is added. This version will be published in Nucl. Phys. B

References in corpus (4)

• Initial Results from the CHOOZ Long Baseline Reactor Neutrino Oscillation Experiment
• Neutral-to-charged current events ratio in atmospheric neutrinos and neutrino oscillations
• Up-down atmospheric neutrino flux asymmetry predictions for various neutrino oscillation scenarios
• Testing maximal electron and muon neutrino oscillations with sub-GeV SuperKamiokande atmospheric neutrino data

Cited by in corpus (90)

• Letter of Intent for KM3NeT 2.0
• Tau Neutrinos Favored over Sterile Neutrinos in Atmospheric Muon Neutrino Oscillations
• Phenomenology of Neutrino Oscillations
• Sterile Neutrinos
• Matter Effects in Upward-Going Muons and Sterile Neutrino Oscillations
• Atmospheric neutrinos at Super-Kamiokande and parametric resonance in neutrino oscillations
• An Active-Sterile Neutrino Transformation Solution for r-Process Nucleosynthesis
• Ruling out four-neutrino oscillation interpretations of the LSND anomaly?
• Neutrino Propagation in Matter
• Neutrino Decay and Atmospheric Neutrinos
• Long Baseline Neutrino Physics with a Muon Storage Ring Neutrino Source
• Supersymmetric Neutrino Masses and Mixing with R-parity Violation
• Variations on Four-Neutrino Oscillations
• Relic neutrino asymmetry evolution from first principles
• On Exotic Solutions of the Atmospheric Neutrino Problem
• Parametric Resonance in Oscillations of Atmospheric Neutrinos?
• Sterile Neutrino as a Bulk Neutrino
• A Mechanism for Ordinary-Sterile Neutrino Mixing
• Enhancing Mechanisms of Neutrino Transitions in a Medium of Nonperiodic Constant - Density Layers and in the Earth
• Toward precision measurements in solar neutrinos
• Four--Neutrino Oscillation Solutions of the Solar Neutrino Problem
• Neutrino oscillations: the rise of the PMNS paradigm
• Searching for sterile neutrinos in ice
• The MSW effect and Matter Effects in Neutrino Oscillations
• 1-3 leptonic mixing and the neutrino oscillograms of the Earth
• Active-active and active-sterile neutrino oscillation solutions to the atmospheric neutrino anomaly
• Four-neutrino oscillation solutions of the atmospheric neutrino anomaly
• Solar and Atmospheric Four-Neutrino Oscillations
• Status of four-neutrino mass schemes: a global and unified approach to current neutrino oscillation data
• Activating the 4th Neutrino of the 3+1 Scheme
• Matter Effects in Four-Neutrino Mixing
• Cornering (3+1) sterile neutrino schemes
• Restricting the LSND and MiniBooNE sterile neutrinos with the IceCube atmospheric neutrino data
• Matter Enhanced Neutrino Oscillations with a Realistic Earth Density Profile
• Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonance
• The minimum width condition for neutrino conversion in matter
• Theoretical Prospects of Neutrinoless Double Beta Decay
• Implications of mirror neutrinos for early universe cosmology
• Global Three-Neutrino Vacuum Oscillation fits to the Solar and Atmospheric Anomalies
• Zenith angle distributions at Super-Kamiokande and SNO and the solution of the solar neutrino problem
• Implications of the ${\nu }_{\mu }\to {\nu }_s$ solution to the atmospheric neutrino anomaly for early Universe cosmology
• Three Neutrino $\Delta m^2$ scales and Singular Seesaw Mechanism
• Short-Baseline Neutrino Oscillations at a Neutrino Factory
• Remarks on parametric resonance of neutrino oscillations in the earth
• Measuring the Mass Hierarchy with Muon and Hadron Events in Atmospheric Neutrino Experiments
• Neutrinoless double-beta decay with three or four neutrino mixing
• Imprint of Sterile Neutrinos in the Cosmic Microwave Background Radiation
• Type-II Supernovae and Neutrino Magnetic Moment
• Comment on "New conditions for a total neutrino conversion in a medium"
• Exploring the Earth matter effect with atmospheric neutrinos in ice
• Axino-Neutrino Mixing in Gauge-Mediated Supersymmetry Breaking Models
• On the robustness of IceCube's bound on sterile neutrinos in the presence of non-standard interactions
• Probing Large Extra Dimensions With IceCube
• Atmospheric neutrino induced muons in the MACRO detector
• Neutral-Current Atmospheric Neutrino Flux Measurement Using Neutrino-Proton Elastic Scattering in Super-Kamiokande
• Precise Formulation of Neutrino Oscillation in the Earth
• Describing neutrino oscillations in matter with Magnus expansion
• Sterile Neutrinos in E_6 and a Natural Understanding of Vacuum Oscillation Solution to the Solar Neutrino Puzzle
• Physics Reach of Atmospheric Neutrino Measurements at PINGU
• Four Light Neutrinos in Singular Seesaw Mechanism with Abelian Flavor Symmetry
• A Paradox on Quantum Field Theory of Neutrino Mixing and Oscillations
• Looking into Analytical Approximations for Three-flavor Neutrino Oscillation Probabilities in Matter
• Implications of Solar and Atmospheric Neutrinos
• Floquet theory of neutrino oscillations in the earth
• Fourier Analysis of the Parametric Resonance in Neutrino Oscillations
• A Novel Approach to Study Atmospheric Neutrino Oscillation
• Enhancement of CP Violating terms for Neutrino Oscillation in Earth Matter
• A Study of the Day - Night Effect for the \SK Detector: III. The Case of Transitions into Sterile Neutrino
• Neutrino Anomalies without Oscillations
• Leading Order Textures for Lepton Mass Matrices
• Energy-dependent solar neutrino flux depletion in the Exact Parity Model and implications for SNO, SuperKamiokande and BOREXINO
• Analysis of oscillations of atmospheric neutrinos
• Parametric enhancement of flavor oscillation in a three-neutrino framework
• Atmospheric Neutrinos
• Sterile Neutrino Searches at the IceCube Neutrino Observatory
• The atmospheric neutrino anomaly without maximal mixing?
• Towards the Solution of the Solar Neutrino Problem
• Neutrino mass hierarchy and matter effects
• Neutrino Physics at the Turn of the Millenium
• Can R-parity violation explain the LSND data as well?
• Scenario of Light Sterile Neutrinos with A Heavy Tau Neutrino in A Supersymmetric Model
• Implications of the Dirac CP phase upon parametric resonance for sub-GeV neutrinos
• Effects of periodic matter in kaon regeneration
• Testing Neutrino Properties at Long Baseline Experiments and Neutrino Factories
• Sensitivity of Hyper-Kamiokande to sub-eV Sterile Neutrinos
• Atmospheric neutrinos, $n{u}_e-n{u}_s$ oscillations, and a novel neutrino evolution equation
• Parametric Resonance in Neutrino Oscillation: A Guide to Control the Effects of Inhomogeneous Matter Density
• Neutrino oscillations: theory and phenomenology
• Signal of New Physics and Chemical Composition of Matter in Core Crossing Neutrinos
• Asymmetric neutrino Yukawa matrices and neutrino mixing