Joint Planck and WMAP Assessment of Low CMB Multipoles

Abstract

The remarkable progress in cosmic microwave background (CMB) studies over past decade has led to the era of precision cosmology in striking agreement with the $\Lambda$CDM model. However, the lack of power in the CMB temperature anisotropies at large angular scales (low-$\ell$), as has been confirmed by the recent Planck data also (up to $\ell =40$), although statistically not very strong (less than $3\sigma$), is still an open problem. One can avoid to seek an explanation for this problem by attributing the lack of power to cosmic variance orcan look for explanations i.e., different inflationary potentials or initial conditions for infl ation to begin with, non-trivial topology, ISW effect etc. Features in the primordial power spectrum (PPS) motivated by the early universe physics has been the most common solution to address this problem. In the present work we also follow this approach and consider a set of PPS which have features and constrain the parameters of those using WMAP 9 year and Planck data employing Markov-Chain Monte Carlo (MCMC) analysis. The prominent feature of all the models of PPS that we consider is an infra-red cut off which leads to suppression of power at large angular scales. We consider models of PPS with maximum three extra parameters and use Akaike information criterion ($AIC$) and Bayesian information criterion ($BIC$) of model and Bayesian information criterion ($BIC$) of model selection to compare the models. For most models, we find good constraints for the cut off scale $k_c$, however, for other parameters our constraints are not that good. We find that sharp cut off model gives best likelihood value for the WMAP 9 year data, but is as good as power law model according to $AIC$. For the joint WMAP 9+Planck data set, Starobinsky model is slightly preferred by $AIC$ which is also able to produce CMB power suppression up to $\ell \le 30$ to some extent.

arXiv comment27 pages, 10 figures, 3 tables, matches with the published version, abstract is shortened to keep it within arXiv's limit (1920 characters)

References in corpus (78)

• Planck 2013 results. XVI. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Efficient Computation of CMB anisotropies in closed FRW models
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Planck 2013 results. XXII. Constraints on inflation
• Encyclopaedia Inflationaris
• Cosmic Microwave Background Anisotropies
• The Cold Dark Matter Density Perturbation
• Formalising the Slow-Roll Approximation in Inflation
• Planck 2013 results. XV. CMB power spectra and likelihood
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Are There Cosmic Microwave Background Anomalies?
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Parameter Estimation Methodology
• How many cosmological parameters?
• Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background
• Oscillations in the CMB from Axion Monodromy Inflation
• Suppressing the lower Multipoles in the CMB Anisotropies
• Inflation as a Probe of Short Distance Physics
• CBR Anisotropy and the Running of the Scalar Spectral Index
• Reconstructing the primordial power spectrum
• Is the Low CMB Quadrupole a Signature of Spatial Curvature?
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• Measuring Statistical isotropy of the CMB anisotropy
• Suppressing CMB Quadrupole with a Bounce from Contracting Phase to Inflation
• Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
• Does the small CMB quadrupole moment suggest new physics?
• Primordial power spectrum from WMAP
• A Low CMB Quadrupole from Dark Energy Isocurvature Perturbations
• Planck Data Reconsidered
• Obtaining the CMB anomalies with a bounce from the contracting phase to inflation
• Non-Gaussianity from Step Features in the Inflationary Potential
• Model-Independent Reconstruction of the Primordial Power Spectrum from WMAP Data
• The Statistical Significance of the Low CMB Mulitipoles
• Evolution of cosmological dark matter perturbations
• Running Spectral Index from Inflation with Modulations
• Observational issues in loop quantum cosmology
• The pre-inflationary vacuum in the cosmic microwave background
• Fingerprints of Galactic Loop I on the Cosmic Microwave Background
• Primordial power spectrum from Planck
• Black Hole Remnants in the Early Universe
• Planck 2013 results. XXXI. Consistency of the Planck data
• Implications of a Running Spectral Index for Slow Roll Inflation
• Features in the Primordial Spectrum from WMAP: A Wavelet Analysis
• Just enough inflation: power spectrum modifications at large scales
• A Bayesian analysis of the primordial power spectrum
• The scalar bi-spectrum in the Starobinsky model: The equilateral case
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• CMB quadrupole suppression: I. Initial conditions of inflationary perturbations
• Post-WMAP Assessment of Infrared Cutoff in the Primordial Spectrum from Inflation
• Effects of a pre-inflation radiation-dominated epoch to CMB anisotropy
• An Infrared Cutoff Revealed by the Two Years of COBE-DMR Observations of Cosmic Temperature Fluctuations
• Bayesian optimal reconstruction of the primordial power spectrum
• Reconstructing the inflationary power spectrum from CMBR data
• Reconstruction of the Primordial Power Spectrum by Direct Inversion
• Suppressing the impact of a high tensor-to-scalar ratio on the temperature anisotropies
• Crossing Statistic: Reconstructing the Expansion History of the Universe
• Reconstruction of broad features in the primordial spectrum and inflaton potential from Planck
• Running Spectral Index from Large-field Inflation with Modulations Revisited
• An Attempt to Determine the Largest Scale of Primordial Density Perturbations in the Universe
• Running Spectral Index as a Probe of Physics at High Scales
• Reconstruction of the primordial power spectra with Planck and BICEP2
• Comparing Planck and WMAP: Maps, Spectra, and Parameters
• Hemispherical Power Asymmetry from a Space-Dependent Component of the Adiabatic Power Spectrum
• Crossing Statistic: Bayesian interpretation, model selection and resolving dark energy parametrization problem
• The Crossing Statistic: Dealing with Unknown Errors in the Dispersion of Type Ia Supernovae
• Suppressing CMB low multipoles with ISW effect
• Confronting the concordance model of cosmology with Planck data
• Detectability of large-scale power suppression in the galaxy distribution
• Power Spectrum of Inflationary Attractors
• Maximum Entropy deconvolution of Primordial Power Spectrum
• Test of consistency between Planck and WMAP
• Flat Tree-level Inflationary Potentials in Light of CMB and LSS Data
• Negative Running of the Spectral Index, Hemispherical Asymmetry and the Consistency of Planck with Large $r$
• PRISM: Recovery of the primordial spectrum from Planck data
• On the Coherence of WMAP and Planck Temperature Maps
• Power spectrum nulls due to non-standard inflationary evolution
• String Theory clues for the low-$\ell$ CMB ?

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• Planck intermediate results. LI. Features in the cosmic microwave background temperature power spectrum and shifts in cosmological parameters
• Searching for features of a string-inspired inflationary model with cosmological observations
• A Bayesian analysis of inflationary primordial spectrum models using Planck data
• Hint of a truncated primordial spectrum from the CMB large-scale anomalies
• Primordial Power Spectrum features and $f_{NL}$ constraints
• Finding origins of CMB anomalies in the inflationary quantum fluctuations
• Low-$\ell$ power suppression in punctuated inflation
• Explaining low l anomalies in the CMB power spectrum with resonant superstring excitations during inflation
• Possible Resolution of the Hubble Tension with Weyl Invariant Gravity
• Possible Evidence for Planck-Scale Resonant Particle Production during Inflation from the CMB Power Spectrum
• Anisotropic power spectrum and the observed low-l power in PLANCK CMB data
• Improved cosmological fits with quantized primordial power spectra
• Constraints on the birth of the universe and origin of cosmic dark flow
• Confronting phantom inflation with Planck data