Chaos, Determinacy and Fractals in Active-Sterile Neutrino Oscillations in the Early Universe
arXiv:0807.0456 · doi:10.1088/1475-7516/2008/10/006
Abstract
The possibility of light sterile neutrinos allows for the resonant production of lepton number in the early universe through matter-affected neutrino mixing. For a given a mixing of the active and sterile neutrino states it has been found that the lepton number generation process is chaotic and strongly oscillatory. We undertake a new study of this process' sensitivity to initial conditions through the quantum rate equations. We confirm the chaoticity of the process in this solution, and moreover find that the resultant lepton number and the sign of the asymmetry produces a fractal in the parameter space of mass, mixing angle and initial baryon number. This has implications for future searches for sterile neutrinos, where arbitrary high sensitivity could not be determinate in forecasting the lepton number of the universe.
arXiv comment6 pages, 3 figures
References in corpus (22)
- Big-Bang nucleosynthesis (Particle Data Group mini-review)
- The Cosmological Parameters 2006
- Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
- Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
- Measurement of Neutrino Oscillation by the K2K Experiment
- Evidence for nu_mu -> nu_e Neutrino Oscillations from LSND
- Observation of muon neutrino disappearance with the MINOS detectors and the NuMI neutrino beam
- A Search for Electron Neutrino Appearance at the Delta m**2 ~ 1 eV**2 Scale
- A combined analysis of short-baseline neutrino experiments in the (3+1) and (3+2) sterile neutrino oscillation hypotheses
- Large neutrino asymmetries from neutrino oscillations
- An Active-Sterile Neutrino Transformation Solution for r-Process Nucleosynthesis
- See-Saw Energy Scale and the LSND Anomaly
- Constraints on Neutrino Oscillations from Big Bang Nucleosynethesis
- Chaotic Amplification of Neutrino Chemical Potentials by Neutrino Oscillations in Big Bang Nucleosynthesis
- Active-Sterile Neutrino Conversion: Consequences for the r-Process and Supernova Neutrino Detection
- Update on neutrino mixing in the early Universe
- Telling Three from Four Neutrinos with Cosmology
- Further studies on relic neutrino asymmetry generation I: the adiabatic Boltzmann limit, non-adiabatic evolution, and the classical harmonic oscillator analogue of the quantum kinetic equations
- Addendum to: Update on neutrino mixing in the early Universe
- On chaoticity of the amplification of the neutrino asymmetry in the early universe
- On the sign of the neutrino asymmetry induced by active-sterile neutrino oscillations in the early Universe
- Oscillation Induced Neutrino Asymmetry Growth in the Early Universe