Small scale aspects of warm dark matter : power spectra and acoustic oscillations

Abstract

We provide a semi-analytic study of the small scale aspects of the power spectra of warm dark matter (WDM) candidates that decoupled while relativistic with arbitrary distribution functions. These are characterized by two widely different scales $k_{eq}\sim 0.01(\mathrm{Mpc}{)}^{-1}$ and $k_{fs}=\sqrt{3}{k}_{eq}/2<V_{eq}^2{>}^{1/2}$ with $<V_{eq}^2{>}^{1/2}\ll 1$ the velocity dispersion at matter radiation equality. Density perturbations evolve through three stages: radiation domination when the particle is relativistic and non-relativistic and matter domination. An early ISW effect during the first stage leads to an enhancement of density perturbations and a plateau in the transfer function for $k\lesssim k_{fs}$. An effective fluid description emerges at small scales which includes the effects of free streaming in initial conditions and inhomogeneities. The transfer function features \emph{WDM-acoustic oscillations} at scales $k\gtrsim 2k_{fs}$. We study the power spectra for two models of sterile neutrinos with $m\sim \mathrm{keV}$ produced non-resonantly, at the QCD and EW scales respectively. The latter case yields acoustic oscillations on mass scales $\sim 10^8{M}_{\odot }$. Our results reveal a \emph{quasi-degeneracy} between the mass, distribution function and decoupling temperature suggesting caveats on the constraints on the mass of a sterile neutrino from current WDM N-body simulations and Lyman-$\alpha$ forest data. A simple analytic interpolation of the power spectra between large and small scales and its numerical implementation is given.

arXiv comment47 pages, 17 figures, section with comparison with Boltzmann codes

References in corpus (88)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dark Matter Substructure in Galactic Halos
• Where are the missing galactic satellites?
• Profiles of dark haloes: evolution, scatter, and environment
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Sterile Neutrinos as Dark Matter
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• Cold collapse and the core catastrophe
• Halo Formation in Warm Dark Matter Models
• Small Scale Cosmological Perturbations: An Analytic Approach
• Constraining Warm Dark Matter candidates including sterile neutrinos and light gravitinos with WMAP and the Lyman-alpha forest
• A New Dark Matter Candidate: Non-thermal Sterile Neutrinos
• A Universal Mass Profile for Dwarf Spheroidal Galaxies?
• The role of sterile neutrinos in cosmology and astrophysics
• The cored distribution of dark matter in spiral galaxies
• Sterile Neutrino Hot, Warm, and Cold Dark Matter
• Density profiles and substructure of dark matter halos: converging results at ultra-high numerical resolution
• The Observed properties of Dark Matter on small spatial scales
• Halo Substructure And The Power Spectrum
• The Central Mass Distribution in Dwarf and Low Surface Brightness Galaxies
• Lyman-alpha constraints on warm and on warm-plus-cold dark matter models
• Sterile neutrinos: the dark side of the light fermions
• The $\nu$MSM, Inflation, and Dark Matter
• The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
• Sterile neutrinos, dark matter, and the pulsar velocities in models with a Higgs singlet
• Can sterile neutrinos be the dark matter?
• The kinematic status and mass content of the Sculptor dwarf spheroidal galaxy
• Dark-matter sterile neutrinos in models with a gauge singlet in the Higgs sector
• Dwarf Galaxy Rotation Curves and the Core Problem of Dark Matter Halos
• Formation and structure of halos in a warm dark matter cosmology
• The Small-Scale Power Spectrum of Cold Dark Matter
• Simulating Observations of Dark Matter Dominated Galaxies: Towards the Optimal Halo Profile
• Can sterile neutrinos be ruled out as warm dark matter candidates?
• Large Scale Structure Tests of Warm Dark Matter
• Cusps in CDM halos
• Opening a new window for warm dark matter
• How cold is cold dark matter? Small scales constraints from the flux power spectrum of the high-redshift Lyman-alpha forest
• New Dark Matter Physics: Clues from Halo Structure
• Constraints on sterile neutrino as a dark matter candidate from the diffuse X-ray background
• Halo Cores and Phase Space Densities: Observational Constraints on Dark Matter Physics and Structure Formation
• Pulsar kicks from a dark-matter sterile neutrino
• Dark Matter from Early Decays
• Production and Evolution of Perturbations of Sterile Neutrino Dark Matter
• Relic keV sterile neutrinos and reionization
• Evolution of bias in different cosmological models
• The dwarf galaxy DDO 47 as a dark matter laboratory: testing cusps hiding in triaxial halos
• Direct X-ray Constraints on Sterile Neutrino Warm Dark Matter
• Constraining the window on sterile neutrinos as warm dark matter
• Constraints on Sterile Neutrino Dark Matter
• Integral Solution for the Microwave Background Anisotropies in Non-fl at Universes
• Inflation, cold dark matter, and the central density problem
• The emptiness of voids: yet another over-abundance problem for the LCDM model
• CMBFAST for spatially closed universes
• Restrictions on parameters of sterile neutrino dark matter from observations of galaxy clusters
• The Observed and Predicted Spatial Distribution of Milky Way Satellite Galaxies
• Constraints on dark matter particles from theory, galaxy observations and N-body simulations
• Evolution of cosmological dark matter perturbations
• New Limits on Sterile Neutrinos from Suzaku Observations of the Ursa Minor Dwarf Spheroidal Galaxy
• Massive Neutrinos in Cosmology: Analytic Solutions and Fluid Approximation
• The distribution function of dark matter in massive haloes
• Dark Matter Search Using Chandra Observations of Willman 1, and a Spectral Feature Consistent with a Decay Line of a 5 keV Sterile Neutrino
• Searching for dark matter in X-rays: how not to check the dark matter origin of a spectral feature
• Model independent analysis of dark matter points to a particle mass at the keV scale
• Bulk QCD Thermodynamics and Sterile Neutrino Dark Matter
• Clustering properties of a sterile neutrino dark matter candidate
• Analyze This! A Cosmological Constraint Package for CMBEASY
• Search for the light dark matter with an X-ray spectrometer
• Small-scale structure formation properties of chilled sterile neutrinos as dark matter
• Sterile neutrinos as subdominant warm dark matter
• LambdaCDM Halo Density Profiles: where do actual halos converge to NFW ones?
• Gravitino, Axino, Kaluza-Klein Graviton Warm and Mixed Dark Matter and Reionisation
• Galaxy Size Problem at z=3: Simulated Galaxies Are Too Small
• Constraining Warm Dark Matter using QSO gravitational lensing
• CMBEASY:: an Object Oriented Code for the Cosmic Microwave Background
• Sterile neutrinos
• Is gravitino still a warm dark matter candidate?
• Cosmological Fluctuations of Short Wavelength
• Interactions of keV sterile neutrinos with matter
• Searching for dark matter in X-rays: how to check the dark matter origin of a spectral feature
• Precision Cosmology
• Collider signatures of sterile neutrinos in models with a gauge-singlet Higgs
• Free streaming in mixed dark matter
• Sterile neutrinos produced near the EW scale I: mixing angles, MSW resonances and production rates
• Precision Cosmology: Successes and Challenges
• Detecting sterile dark matter in space
• Accounting for the Unresolved X-ray Background with Sterile Neutrino Dark Matter

Cited by in corpus (50)

• Warm Dark Matter as a solution to the small scale crisis: new constraints from high redshift Lyman-alpha forest data
• Review of asymmetric dark matter
• The Cosmic Linear Anisotropy Solving System (CLASS) IV: Efficient implementation of non-cold relics
• The Phenomenology of Right Handed Neutrinos
• Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos
• ETHOS - An Effective Theory of Structure Formation: From dark particle physics to the matter distribution of the Universe
• Sterile Neutrinos as the Origin of Dark and Baryonic Matter
• New Production Mechanism for keV Sterile Neutrino Dark Matter by Decays of Frozen-In Scalars
• keV Neutrino Model Building
• NuSTAR Tests of Sterile-Neutrino Dark Matter: New Galactic Bulge Observations and Combined Impact
• Constraining Sterile Neutrino Warm Dark Matter with Chandra Observations of the Andromeda Galaxy
• Dark matter-radiation interactions: the impact on dark matter haloes
• Mining for Dark Matter Substructure: Inferring subhalo population properties from strong lenses with machine learning
• Improved Limits on Sterile Neutrino Dark Matter using Full-Sky Fermi Gamma-Ray Burst Monitor Data
• DRAKE: Dark matter Relic Abundance beyond Kinetic Equilibrium
• On the Power Spectrum of Dark Matter Substructure in Strong Gravitational Lenses
• Gravitational Lensing and the Power Spectrum of Dark Matter Substructure: Insights from the ETHOS N-body Simulations
• Dark Matter Search Using XMM-Newton Observations of Willman 1
• A Dark Census: Statistically Detecting the Satellite Populations of Distant Galaxies
• Non-adiabatic cosmological production of ultra-light Dark Matter
• Probing the small-scale structure in strongly lensed systems via transdimensional inference
• Warm Dark Matter from keVins
• Beyond subhalos: Probing the collective effect of the Universe's small-scale structure with gravitational lensing
• Constraining warm dark matter with 21 cm line fluctuations due to minihalos
• Dark matter velocity dispersion effects on CMB and matter power spectra
• Thermal leptogenesis and the gravitino problem in the Asaka-Yanagida axion/axino dark matter scenario
• The Power of Halometry
• Searching for sterile neutrinos from $\pi$ and $K$ decays
• Semi-analytical description of clumping factor and CMB free-free distortions from reionization
• Cosmological evolution of warm dark matter fluctuations II: Solution from small to large scales and keV sterile neutrinos
• Warm dark matter at small scales: peculiar velocities and phase space density
• Influence of a keV sterile neutrino on neutrino-less double beta decay -- how things changed in the recent years
• Cosmological evolution of warm dark matter fluctuations I: Efficient computational framework with Volterra integral equations
• Reconciling thermal leptogenesis with the gravitino problem in SUSY models with mixed axion/axino dark matter
• Evolution of dark matter velocity dispersion
• Constraining models for keV sterile neutrinos by quasi-degenerate active neutrinos
• The case for mixed dark matter from sterile neutrinos
• Too hot to handle? Analytic solutions for massive neutrino or warm dark matter cosmologies
• Impact of a Warm Dark Matter late-time velocity dispersion on large-scale structures
• AdS braneworld with Backreaction
• Dark matter vorticity and velocity dispersion from truncated Dyson$\unicode{x2013}$Schwinger equations
• Hollow cores in Warm Dark Matter halos from the Vlasov-Poisson equation
• Charged lepton mixing via heavy sterile neutrinos
• Stochastic dark matter: Covariant Brownian motion from Planckian discreteness
• Neutrino and Collider Implications of a Left-Right Extended Zee Model
• Impact of astrophysical effects on the dark matter mass constraint with 21cm intensity mapping
• "Warm" Tachyon Matter from Back-reaction on the Brane
• 21 cm Cosmology Sensitivity to Small-Scale Structure: Warm vs Neutrino-Interacting Dark Matter
• Phase-space perturbation theory for cosmic large-scale structure
• Consistent initial data for CMD perturbations