Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors

Abstract

We examine a phenomenon recently predicted by numerical simulations of supernova neutrino flavor evolution: the swapping of supernova ${\nu }_e$ and ${\nu }_{\mu ,\tau }$ energy spectra below (above) energy $\EC$ for the normal (inverted) neutrino mass hierarchy. We present the results of large-scale numerical calculations which show that in the normal neutrino mass hierarchy case, $\EC$ decreases as the assumed ${\nu }_e\rightleftharpoons {\nu }_{\mu ,\tau }$ effective $2\times 2$ vacuum mixing angle ($\simeq {\theta }_{13}$) is decreased. However, these calculations also indicate that $\EC$ is essentially independent of the vacuum mixing angle in the inverted neutrino mass hierarchy case. With a good neutrino signal from a future Galactic supernova, the above results could be used to determine the neutrino mass hierarchy even if ${\theta }_{13}$ is too small to be detected in terrestrial neutrino oscillation experiments.

arXiv comment4 pages, 2 figures. Version accepted by PRL

References in corpus (23)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Identifying the neutrino mass spectrum from a supernova neutrino burst
• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Self-induced conversion in dense neutrino gases: Pendulum in flavour space
• Collective Neutrino Flavor Transformation In Supernovae
• Self-induced spectral splits in supernova neutrino fluxes
• Coherent Development of Neutrino Flavor in the Supernova Environment
• Physics of Synchronized Neutrino Oscillations Caused by Self-Interactions
• Analysis of Collective Neutrino Flavor Transformation in Supernovae
• Neutrino Mixing and Nucleosynthesis in Core-Collapse Supernovae
• Probing the neutrino mass hierarchy and the 13-mixing with supernovae
• Flavor oscillations in the supernova hot bubble region: Nonlinear effects of neutrino background
• Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter
• Exploiting the neutronization burst of a galactic supernova
• Self-Maintained Coherent Oscillations in Dense Neutrino Gases
• Simple Picture for Neutrino Flavor Transformation in Supernovae
• Do many-particle neutrino interactions cause a novel coherent effect?
• Simultaneous Flavor Transformation of Neutrinos and Antineutrinos with Dominant Potentials from Neutrino-Neutrino Forward Scattering
• Supernova Neutrino Nucleosynthesis of Light Elements with Neutrino Oscillations
• Constraints on Neutrino Mixing
• Monte Carlo Neutrino Oscillations
• Probing neutrino mass hierarchies and ${\varphi }_{13}$ with supernova neutrinos

Cited by in corpus (117)

• Collective Neutrino Oscillations
• Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
• Multiple Spectral Splits of Supernova Neutrinos
• Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects
• Neutrino Quantum Kinetics
• Neutrino cloud instabilities just above the neutrino sphere of a supernova
• Role of dense matter in collective supernova neutrino transformations
• Adiabaticity and spectral splits in collective neutrino transformations
• Collective three-flavor oscillations of supernova neutrinos
• Invariants of Collective Neutrino Oscillations
• Improved analysis of SN1987A antineutrino events
• No collective neutrino flavor conversions during the supernova accretion phase
• Neutrino flavour transformation in supernovae
• Neutrino scattering and flavor transformation in supernovae
• Fast Neutrino Flavor Conversion Modes in Multidimensional Core-collapse Supernova Models: the Role of the Asymmetric Neutrino Distributions
• Flavor Evolution of the Neutronization Neutrino Burst from an O-Ne-Mg Core-Collapse Supernova
• Analysis of matter suppression in collective neutrino oscillations during the supernova accretion phase
• Spectral split in prompt supernova neutrino burst: Analytic three-flavor treatment
• Diffuse supernova neutrinos at underground laboratories
• Stepwise Spectral Swapping with Three Neutrino Flavors
• Identifying neutrino mass hierarchy at extremely small theta(13) through Earth matter effects in a supernova signal
• Effect of Transition Magnetic Moments on Collective Supernova Neutrino Oscillations
• A change of direction in pairwise neutrino conversion physics: The effect of collisions
• On Fast Neutrino Flavor Conversion Modes in the Nonlinear Regime
• Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments
• Entanglement and collective flavor oscillations in a dense neutrino gas
• Theta_13: phenomenology, present status and prospect
• Mu-tau neutrino refraction and collective three-flavor transformations in supernovae
• Simulations of Fast Neutrino Flavor Conversions with Interactions in Inhomogeneous Media
• Supernova Signatures of Neutrino Mass Ordering
• Collective neutrino oscillations in non-spherical geometry
• Low-energy spectral features of supernova (anti)neutrinos in inverted hierarchy
• Searching for Fast Neutrino Flavor Conversion Modes in Core-collapse Supernova Simulations
• Nonstandard neutrino-neutrino refractive effects in dense neutrino gases
• Multi-azimuthal-angle effects in self-induced supernova neutrino flavor conversions without axial symmetry
• Spectral splits and entanglement entropy in collective neutrino oscillations
• Simulating nonlinear neutrino flavor evolution
• Stability analysis of collective neutrino oscillations in the supernova accretion phase with realistic energy and angle distributions
• Transition Magnetic Moments and Collective Neutrino Oscillations:Three-Flavor Effects and Detectability
• Neutrino Flavor Conversion, Advection, and Collisions: Towards the Full Solution
• The three flavor revolution in fast pairwise neutrino conversion
• Neutrino Spectral Split in the Exact Many Body Formalism
• Instability in the dense supernova neutrino gas with flavor-dependent angular distributions
• Multi-azimuthal-angle instability for different supernova neutrino fluxes
• Dynamical Phase Transitions in models of Collective Neutrino Oscillations
• Eigenvalues and eigenstates of the many-body collective neutrino oscillation problem
• Neutrino Flavor Evolution in Neutron Star Mergers
• Supernova neutrinos and antineutrinos: ternary luminosity diagram and spectral split patterns
• Three Flavor Neutrino Oscillations in Matter: Flavor Diagonal Potentials, the Adiabatic Basis and the CP phase
• Neutrino oscillation signatures of oxygen-neon-magnesium supernovae
• Supernova neutrino three-flavor evolution with dominant collective effects
• Multi-angle effects in self-induced oscillations for different supernova neutrino fluxes
• Triggering collective oscillations by three-flavor effects
• Collective neutrino oscillations with tensor networks using a time-dependent variational principle
• Effect of Collective Flavor Oscillations on the Diffuse Supernova Neutrino Background
• Flavor Oscillation Modes In Dense Neutrino Media
• Multi-Angle Simulation of Flavor Evolution in the Neutrino Neutronization Burst From an O-Ne-Mg Core-Collapse Supernova
• Physics potential of future supernova neutrino observations
• Self-induced parametric resonance in collective neutrino oscillations
• Neutrinos from failed supernovae at future water and liquid argon detectors
• Neutrino and antineutrino charge-exchange reactions on 12C
• Collective Flavor Oscillations Of Supernova Neutrinos and r-Process Nucleosynthesis
• Parameter Degeneracy in Flavor-Dependent Reconstruction of Supernova Neutrino Fluxes
• Sensitivity of future liquid argon dark matter search experiments to core-collapse supernova neutrinos
• Flavor stability analysis of dense supernova neutrinos with flavor-dependent angular distributions
• Neutrino Magnetic Moment, CP Violation and Flavor Oscillations in Matter
• Quantum information and quantum simulation of neutrino physics
• Upper limits on the diffuse supernova neutrino flux from the SuperKamiokande data
• Transport Equations for Oscillating Neutrinos
• Theoretical Overview of Neutrino Properties
• Self-induced temporal instability from a neutrino antenna
• Spectrum of Supernova Neutrinos in Ultra-pure Scintillators
• Symmetries in collective neutrino oscillations
• Interplay between collective effects and non-standard interactions of supernova neutrinos
• Massive Stars and their Supernovae
• Untangling supernova-neutrino oscillations with beta-beam data
• Detection of supernovae neutrinos with neutrino-iron scattering
• Density Fluctuation Effects on Collective Neutrino Oscillations in O-Ne-Mg Core-Collapse Supernovae
• Collective neutrino oscillations with the halo effect in single-angle approximation
• Breaking the symmetries in self-induced flavor conversions of neutrino beams from a ring
• Another look at synchronized neutrino oscillations
• Neutrino flavor mixing with moments
• Spectral swaps in a two-dimensional neutrino ring model
• Signatures of collective and matter effects on supernova neutrinos at large detectors
• Prospects for Neutrino Spin Coherence in Supernovae
• On the Observability of Collective Flavor Oscillations in Diffuse Supernova Neutrino Background
• Neutrino many-body correlations
• Turbulence Fingerprint on Collective Oscillations of Supernova Neutrinos
• An optimization-based approach to calculating neutrino flavor evolution
• Geometric phases in neutrino oscillations with nonlinear refraction
• Turbulence patterns and neutrino flavor transitions in high-resolution supernova models
• Collective Oscillations of Majorana Neutrinos in Strong Magnetic Fields and Self-induced Flavor Equilibrium
• Realistic Earth matter effects and a method to acquire information about small θ_{13} in the detection of supernova neutrinos
• Hybrid method to resolve the neutrino mass hierarchy by supernova (anti)neutrino induced reactions
• Two-photon interactions with Majorana fermions
• Subgrid modeling of neutrino oscillations in astrophysics
• Probing Neutrino Mass Hierarchy by Comparing the Charged-Current and Neutral-Current Interaction Rates of Supernova Neutrinos
• Many-body collective neutrino oscillations: recent developments
• Weak Interaction Rate Coulomb Corrections in Big Bang Nucleosynthesis
• On the Possibility to Determine Neutrino Mass Hierarchy via Supernova Neutrinos with Short-Time Characteristics
• Lower Bounds on U_{e3}
• Neutrinos and Symmetries
• Supernova neutrino oscillations: what do we understand?
• Acquire information about neutrino parameters by detecting supernova neutrinos
• Advection Algorithms for Quantum Neutrino Moment Transport
• Detection of supernova neutrinos on the Earth for large theta13
• Neutrino mass hierarchy and matter effects
• Flavor Oscillations in Core-Collapse Supernovae
• Time dependent signatures of core-collapse supernova neutrinos at HALO
• Significance of neutrino cross-sections for astrophysics
• Collective flavor transitions of supernova neutrinos
• Supernovae as laboratories for neutrino properties
• On Possibility of Determining Neutrino Mass Hierarchy by the Charged-Current and Neutral-Current Events of Supernova Neutrinos in Scintillation Detectors
• Moment equations of neutrinos in supernova
• Supernova neutrino flavor evolution at high densities
• Emission angle distribution and flavor transformation of supernova neutrinos
• Supernova $\nu$ flavour conversions in DUNE: the slow, the fast and the standard