Production of a sterile species via active-sterile mixing: an exactly solvable model
arXiv:0706.3167 · doi:10.1103/PhysRevD.76.103514
Abstract
The production of a sterile species via active-sterile mixing in a thermal medium is studied in an exactly solvable model. The \emph{exact} time evolution of the sterile distribution function is determined by the dispersion relations and damping rates for the quasiparticle modes. These depend on $\wtg = Γ_{aa}/2ΔE$, with the interaction rate of the active species in absence of mixing and the oscillation frequency in the medium without damping. $\wtg \ll1,\wtg \gg 1$ describe the weak and strong damping limits respectively. For $\wtg\ll1$, $Γ_1 = Γ_{aa}\cos^2\tm ; Γ_{2}=Γ_{aa}\sin^2\tm$ where $\tm$ is the mixing angle in the medium and the sterile distribution function \emph{does not} obey a simple rate equation. For $\wtg \gg 1$, and $Γ_2 = Γ_{aa} \sin^22\tm/4\wtg^2$, is the sterile production rate. In this regime sterile production is suppressed and the oscillation frequency \emph{vanishes} at an MSW resonance, with a breakdown of adiabaticity. These are consequences of quantum Zeno suppression. For active neutrinos with standard model interactions the strong damping limit is \emph{only} available near an MSW resonance \emph{if} with the vacuum mixing angle. The full set of quantum kinetic equations for sterile production for arbitrary $\wtg$ are obtained from the quantum master equation. Cosmological resonant sterile neutrino production is quantum Zeno suppressed relieving potential uncertainties associated with the QCD phase transition.
arXiv commentTo appear in Phys. Rev. D
References in corpus (62)
- Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
- Sterile Neutrinos as Dark Matter
- Massive neutrinos and cosmology
- A New Dark Matter Candidate: Non-thermal Sterile Neutrinos
- Evidence for nu_mu -> nu_e Neutrino Oscillations from LSND
- Neutrinos in cosmology
- Sterile Neutrino Hot, Warm, and Cold Dark Matter
- A Search for Electron Neutrino Appearance at the Delta m**2 ~ 1 eV**2 Scale
- Massive sterile neutrinos as warm Dark Matter
- Experimental observation of optical rotation generated in vacuum by a magnetic field
- Direct Detection of Warm Dark Matter in the X-ray
- Lightest sterile neutrino abundance within the nuMSM
- Oscillations of neutrinos and mesons in quantum field theory
- Opening a new window for warm dark matter
- Constraints on sterile neutrino as a dark matter candidate from the diffuse X-ray background
- Where to find a dark matter sterile neutrino?
- Pulsar kicks from a dark-matter sterile neutrino
- Relic keV sterile neutrinos and reionization
- Production and Evolution of Perturbations of Sterile Neutrino Dark Matter
- Constraints on Sterile Neutrino Dark Matter
- Linear Cosmological Structure Limits on Warm Dark Matter
- Non-Abelian Boltzmann Equation for Mixing and Decoherence
- Constraints on the parameters of radiatively decaying dark matter from the dark matter halo of the Milky Way and Ursa Minor
- Studies of neutrino asymmetries generated by ordinary-sterile neutrino oscillations in the early universe and implications for big bang nucleosynthesis bounds
- On the hadronic contribution to sterile neutrino production
- Restrictions on parameters of sterile neutrino dark matter from observations of galaxy clusters
- Primordial Neutrinos
- Limits on the Radiative Decay of Sterile Neutrino Dark Matter from the Unresolved Cosmic and Soft X-ray Backgrounds
- On the Particle Interpretation of the PVLAS Data: Neutral versus Charged Particles
- Relic neutrino asymmetry evolution from first principles
- Sterile neutrinos in the Milky Way: Observational constraints
- The masses of active neutrinos in the nuMSM from X-ray astronomy
- Neutrinos in Physics and Astrophysics
- Neutrino Flavor Conversion in a Supernova Core
- Pulsar kicks from neutrino oscillations
- Bulk QCD Thermodynamics and Sterile Neutrino Dark Matter
- Dark matter sterile neutrinos in stellar collapse: alteration of energy/lepton number transport and a mechanism for supernova explosion enhancement
- Searching for dark matter sterile neutrino in laboratory
- Thermal evolution of the primordial clouds in warm dark matter models with keV sterile neutrinos
- Probing the nature of dark matter with Cosmic X-rays: Constraints from "Dark blobs" and grating spectra of galaxy clusters
- Coherent Active-Sterile Neutrino Flavor Transformation in the Early Universe
- Sterile neutrinos
- Light Element Signatures of Sterile Neutrinos and Cosmological Lepton Numbers
- Particle abundance in a thermal plasma: quantum kinetics vs. Boltzmann equation
- Sterile neutrino production via active-sterile oscillations: the quantum Zeno effect
- Leptonic Domains in the Early Universe and Their Implications
- 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
- Cosmological Implications of Neutrinos
- Further studies on relic neutrino asymmetry generation II: a rigorous treatment of repopulation in the adiabatic limit
- Oscillations of neutrinos produced and detected in crystals
- Are direct photons a clean signal of a thermalized quark gluon plasma?
- Neutrino Oscillations in the Early Universe: A Real Time Formulation
- Neutrino Masses in Astroparticle Physics
- Quantum kinetics and thermalization in an exactly solvable model
- B Mixing
- Quantum kinetics and thermalization in a particle bath model
- Field theory approach to K0-K0bar and B0-B0bar systems
- Non equilibrium dynamics of mixing, oscillations and equilibration: a model study
- Charged lepton mixing and oscillations from neutrino mixing in the early Universe
- Oscillations and evolution of a hot and dense gas of flavor neutrinos: a quantum field theory study
- Photon production from a thermalized quark gluon plasma: quantum kinetics and nonperturbative aspects
- Observational manifestations of anomaly inflow
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- Dark-matter sterile neutrinos in models with a gauge singlet in the Higgs sector
- Sterile Neutrinos as the Origin of Dark and Baryonic Matter
- Neutrino Quantum Kinetics
- Constraints on dark matter particles from theory, galaxy observations and N-body simulations
- Heavy sterile neutrinos and supernova explosions
- Diluted equilibrium sterile neutrino dark matter
- Delayed pulsar kicks from the emission of sterile neutrinos
- Free streaming in mixed dark matter
- Sterile neutrinos produced near the EW scale I: mixing angles, MSW resonances and production rates
- Neutrino Oscillations, Entanglement and Coherence: A Quantum Field Theory Study In Real Time
- Dark Matter Studies Entrain Nuclear Physics
- Effects of an Intermediate Mass Sterile Neutrino Population on the Early Universe
- Unparticle-Higgs Mixing: MSW Resonances, See-saw Mechanism and Spinodal Instabilities