Observational Constraints on the Primordial Curvature Power Spectrum

Abstract

CMB observations provide a precise measurement of the primordial power spectrum on large scales, corresponding to wavenumbers $10^{-3}$ Mpc${}^{-1}$ < k < 0.1 Mpc${}^{-1}$, [1-8]. Luminous red galaxies and galaxy clusters probe the matter power spectrum on overlapping scales (0.02 Mpc${}^{-1}$ < k < 0.7 Mpc${}^{-1}$ [9-18]), while the Lyman-alpha forest reaches slightly smaller scales (0.3 Mpc${}^{-1}<k<3$ Mpc${}^{-1}$; [19]). These observations indicate that the primordial power spectrum is nearly scale-invariant with amplitude close to $2\times 10^{-9}$, [5, 20-25]. They also strongly support Inflation and motivate us to obtain constraints reaching to smaller scales on the primordial curvature power spectrum and by implication on Inflation. One could obtain limits to much higher values of $k<10^5$ Mpc${}^{-1}$ and with less sensitivity even higher to $k<10^{19}-10^{23}$ Mpc${}^{-1}$ using limits from CMB spectral distortions(SD)and on ultracompact minihalo objects(UCMHs)and Primordial Black Holes(PBHs). In this paper, we revisit and collect all the known constraints on both PBHs and UCMHs. We show that unless one uses SD, PBHs give us very relaxed bounds on the primordial curvature perturbations. UCMHs are very informative over a reasonable $k$ range($3<k<10^6$ Mpc${}^{-1}$)and lead to significant upper-bounds on the curvature spectrum. We review the conditions under which the tighter constraints on the UCMHs could imply extremely strong bounds on the fraction of Dark Matter that could be PBHs. Failure to satisfy these conditions would lead to over production of the UCMHs, which is inconsistent with the observations. Therefore, we can almost rule out PBH within their overlap scales with the UCMHs. We consider the UCMH bounds from experiments such as $\gamma$-rays, Neutrinos, Reionization, pulsar-timing and SD. We show that they lead to comparable results independent of the form of DM.

arXiv comment35 pages, 12 figures, Pulsar Timing constraints updated

References in corpus (112)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Supersymmetric Dark Matter
• The Cosmic Microwave Background Spectrum from the Full COBE/FIRAS Data Set
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• Did LIGO detect dark matter?
• New cosmological constraints on primordial black holes
• Primordial Black Holes as Dark Matter
• Chandra Cluster Cosmology Project III: Cosmological Parameter Constraints
• The MACHO Project: Microlensing Results from 5.7 Years of LMC Observations
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• Density Perturbations and Black Hole Formation in Hybrid Inflation
• Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters
• CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey
• Galaxy Clusters Discovered via the Sunyaev-Zel'dovich Effect in the 2500-square-degree SPT-SZ survey
• LCDM-based models for the Milky Way and M31 I: Dynamical Models
• Primordial black holes from single field models of inflation
• A Measurement of the Damping Tail of the Cosmic Microwave Background Power Spectrum with the South Pole Telescope
• Massive Primordial Black Holes from Hybrid Inflation as Dark Matter and the seeds of Galaxies
• Cosmic microwave background limits on accreting primordial black holes
• Primordial black hole constraints for extended mass functions
• The Lyman-alpha Forest Power Spectrum from the Sloan Digital Sky Survey
• The Atacama Cosmology Telescope: Cosmological Parameters from the 2008 Power Spectra
• Planck 2013 results. XVII. Gravitational lensing by large-scale structure
• MACHO Project Limits on Black Hole Dark Matter in the 1-30 Solar Mass Range
• Constraints on MACHO Dark Matter from Compact Stellar Systems in Ultra-Faint Dwarf Galaxies
• Black Hole Relics and Inflation: Limits on Blue Perturbation Spectra
• High resolution CMB power spectrum from the complete ACBAR data set
• Constraining the mass of light bosonic dark matter using SDSS Lyman-$\alpha$ forest
• Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum
• The WiggleZ Dark Energy Survey: Final data release and cosmological results
• Primordial Black Hole production in Critical Higgs Inflation
• Single Field Double Inflation and Primordial Black Holes
• The Anisotropy of the Microwave Background to l = 3500: Mosaic Observations with the Cosmic Background Imager
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• Improved measurements of the temperature and polarization of the CMB from QUaD
• Particle Models and the Small-Scale Structure of Dark Matter
• Lensing of Fast Radio Bursts as a Probe of Compact Dark Matter
• Primordial Black Holes as All Dark Matter
• Stochastic gravitational waves associated with the formation of primordial black holes
• Improved constraints on the primordial power spectrum at small scales from ultracompact minihalos
• Gravitational waves at interferometer scales and primordial black holes in axion inflation
• EROS and MACHO Combined Limits on Planetary Mass Dark Matter in the Galactic Halo
• Primordial Black Hole Formation in a Double Inflation Model in Supergravity
• Chaotic new inflation and formation of primordial black holes
• Generalised constraints on the curvature perturbation from primordial black holes
• Gauge field production in SUGRA inflation: local non-Gaussianity and primordial black holes
• Primordial black hole formation from an axion-like curvaton model
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: BAO measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• The Atacama Cosmology Telescope: Cosmology from Galaxy Clusters Detected via the Sunyaev-Zel'dovich Effect
• Massive Primordial Black Holes as Dark Matter and their detection with Gravitational Waves
• Search for Dark Matter Satellites using the FERMI-LAT
• A New Probe of Dark Matter and High-Energy Universe Using Microlensing
• Separating the Early Universe from the Late Universe: cosmological parameter estimation beyond the black box
• PBH Dark Matter in Supergravity Inflation Models
• Cosmological Constraints from Galaxy Clustering and the Mass-to-Number Ratio of Galaxy Clusters
• Searching for Primordial Black Holes in the radio and X-ray sky
• Testing scenarios of primordial black holes being the seeds of supermassive black holes by ultracompact minihalos and CMB $\mu$-distortions
• Gravitino production by primordial black hole evaporation and constraints on the inhomogeneity of the early Universe
• Planck Constraint on Relic Primordial Black Holes
• Constraints on Primordial Black Holes with Extended Mass Functions
• The Atacama Cosmology Telescope: a measurement of the primordial power spectrum
• Black hole formation from colliding bubbles
• Orbital eccentricities in primordial black holes binaries
• Primordial Black Holes from the inflating curvaton
• New X-ray bound on density of primordial black holes
• Primordial Black Holes and $r$-Process Nucleosynthesis
• Gamma rays from ultracompact primordial dark matter minihalos
• PBH dark matter from axion inflation
• Supersymmetry and primordial black hole abundance constraints
• Determining the progenitors of merging black-hole binaries
• Primordial Black Holes and Primordial Nucleosynthesis I: Effects of Hadron Injection from Low Mass Holes
• Formation of Black Holes from Collapsed Cosmic String Loops
• Probing Primordial-Black-Hole Dark Matter with Gravitational Waves
• A new probe of the small-scale primordial power spectrum: astrometric microlensing by ultracompact minihalos
• Primordial Black Hole Formation in Supergravity
• Constraint on the abundance of primordial black holes in dark matter from Planck data
• CMB constraints on primordial black hole dark matter
• Gamma-rays from ultracompact minihalos: potential constraints on the primordial curvature perturbation
• Limits on Black Hole Formation from Cosmic String Loops
• Reconstruction of the Primordial Power Spectrum using Temperature and Polarisation Data from Multiple Experiments
• Formation and internal structure of superdense dark matter clumps and ultracompact minihaloes
• Dark Matter Subhalos In the Fermi First Source Catalog
• Effects of friction on cosmic strings
• Can massive primordial black holes be produced in mild waterfall hybrid inflation?
• Pulsar timing can constrain primordial black holes in the LIGO mass window
• Investigating dark matter substructure with pulsar timing: I. Constraints on ultracompact minihalos
• Constraints on Primordial Black Holes by Distortions of Cosmic Microwave Background
• Pair Creation of Black Holes by Domain Walls
• A Preferred Mass Range for Primordial Black Hole Formation and Black Holes as Dark Matter Revisited
• Production of high stellar-mass primordial black holes in trapped inflation
• Moduli constraints on primordial black holes
• The Knotted Sky I: Planck constraints on the primordial power spectrum
• Primordial black holes in braneworld cosmologies: astrophysical constraints
• Ultracompact minihalos as probes of inflationary cosmology
• Constraints on ultracompact minihalos from extragalactic γ-ray background
• Small-scale structure and 21cm fluctuations by primordial black holes
• Cosmological Constraints from Galaxy Clustering and the Mass-to-Number Ratio of Galaxy Clusters: Marginalizing over the Physics of Galaxy Formation
• Neutrino signals from ultracompact minihalos and constraints on the primordial curvature perturbation
• Primordial Black Holes Formation from Particle Production during Inflation
• Detecting Black-Hole Binary Clustering via the Second-Generation Gravitational-Wave Detectors
• Globular Cluster Seeding by Primordial Black Hole Population
• Red, Straight, no bends: primordial power spectrum reconstruction from CMB and large-scale structure
• Cosmic String Loops Collapsing to Black Holes
• Constraints on cosmic strings from ultracompact minihalos
• Heating of galactic gas by dark matter annihilation in ultracompact minihalos
• Cosmological constraints on the curvaton web parameters
• Reionization effect enhancement due to primordial black holes
• Reionization Constraints on the Contribution of Primordial Compact Objects to Dark Matter
• Constraints on the ultracompact minihalos using neutrino signals from the gravitino dark matter decay
• Constraints on small-scale cosmological perturbations from gamma-ray searches for dark matter

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• Primordial Black Holes Arise When The Inflaton Falls
• Statistics of coarse-grained cosmological fields in stochastic inflation
• Constraining first-order phase transitions with curvature perturbations
• Constraining the Local Burst Rate Density of Primordial Black Holes with HAWC
• Interferometer Constraints on the Inflationary Field Content
• Constraints on Primordial Power Spectrum from Galaxy Luminosity Functions
• Enhanced curvature perturbations from spherical domain walls nucleated during inflation
• Production of gravitational waves during preheating with nonminimal coupling
• Constraints on ultra-slow-roll inflation from the third LIGO-Virgo observing run
• The 21-cm signals from ultracompact minihalos as a probe of primordial small-scale fluctuations
• Probing Small Scale Primordial Power Spectrum with 21cm Line Global Signal
• Complex Scalar Field Reheating and Primordial Black Hole production
• Probing the primordial Universe with 21-cm line from cosmic dawn/epoch of reionization
• Constraint on the early-formed dark matter halos using the free-free emission in the Planck foreground analysis
• Observable tensor-to-scalar ratio and secondary gravitational wave background
• Modified initial power spectrum and too big to fail problem
• Enhanced spectrum of primordial perturbations, galaxy formation and small scale structure
• Constraints on ultra-slow-roll inflation with the NANOGrav 15-Year Dataset
• Probing the Running of Primordial Bispectrum and Trispectrum using CMB Spectral Distortions
• CMB lensing from early-formed dark matter halos