On the proper kinetic quadrupole CMB removal and the quadrupole anomalies

Abstract

It has been pointed out recently that the quadrupole-octopole alignment in the CMB data is significantly affected by the so-called kinetic Doppler quadrupole (DQ), which is the temperature quadrupole induced by our proper motion. Assuming our velocity is the dominant contribution to the CMB dipole we have v/c = beta = (1.231 +/- 0.003) * 10^{-3}, which leads to a non-negligible DQ of order beta^2. Here we stress that one should properly take into account that CMB data are usually not presented in true thermodynamic temperature, which induces a frequency dependent boost correction. The DQ must therefore be multiplied by a frequency-averaged factor, which we explicitly compute for several CMB maps finding that it varies between 1.67 and 2.47. This is often neglected in the literature and turns out to cause a small but non-negligible difference in the significance levels of some quadrupole-related statistics. For instance the alignment significance in the SMICA 2013 map goes from 2.3sigma to 3.3sigma, with the frequency dependent DQ, instead of 2.9sigma ignoring the frequency dependence in the DQ. Moreover as a result of a proper DQ removal, the agreement across different map-making techniques is improved.

arXiv commentv2: improvements to the text; 2 figures and several references added; results unchanged. [14 pages, 3 tables, 2 figures]

References in corpus (54)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2013 results. XVI. Cosmological parameters
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Planck 2013 results. I. Overview of products and scientific results
• 4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• Asymmetries in the CMB anisotropy field
• A high resolution foreground cleaned CMB map from WMAP
• The significance of the largest scale CMB fluctuations in WMAP
• Planck 2013 results. XV. CMB power spectra and likelihood
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Are There Cosmic Microwave Background Anomalies?
• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• Estimating the Power Spectrum of the Cosmic Microwave Background
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
• Testing the cosmological principle of isotropy: local power spectrum estimates of the WMAP data
• Multipole Vectors--a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2<=l<=8
• Planck 2013 results. XII. Component separation
• Hemispherical power asymmetry in the three-year Wilkinson Microwave Anisotropy Probe sky maps
• On the large-angle anomalies of the microwave sky
• Planck 2015 results. X. Diffuse component separation: Foreground maps
• Planck 2015 results. IX. Diffuse component separation: CMB maps
• Increasing evidence for hemispherical power asymmetry in the five-year WMAP data
• Planck 2013 results. XXVII. Doppler boosting of the CMB: Eppur si muove
• Planck 2013 results. IX. HFI spectral response
• Power Asymmetry in Cosmic Microwave Background Fluctuations from Full Sky to Sub-degree Scales: Is the Universe Isotropic?
• Asymmetries in the local curvature of the WMAP data
• A Maximum Likelihood Analysis of the Low CMB Multipoles from WMAP
• Planck 2013 results. VIII. HFI photometric calibration and mapmaking
• Peculiar velocity effects in high-resolution microwave background experiments
• Band Power Spectra in the COBE DMR 4-Year Anisotropy Maps
• The Statistical Significance of the Low CMB Mulitipoles
• Low-order multipole maps of CMB anisotropy derived from WMAP
• Large-scale alignments from WMAP and Planck
• Planck 2013 results. V. LFI calibration
• Joint Planck and WMAP CMB Map Reconstruction
• Superposition of blackbodies and the dipole anisotropy: A possibility to calibrate CMB experiments
• Aspects of the Cosmic Microwave Background Dipole
• The Signature of Proper Motion in the Microwave Sky
• On the significance of power asymmetries in Planck CMB data at all scales
• Measuring our peculiar velocity on the CMB with high-multipole off-diagonal correlations
• Full-sky CMB lensing reconstruction in presence of sky-cuts
• Planck CMB Anomalies: Astrophysical and Cosmological Secondary Effects and the Curse of Masking
• Revisiting the WMAP - NVSS angular cross correlation. A skeptic's view
• Comparing Planck and WMAP: Maps, Spectra, and Parameters
• Aberration of the Cosmic Microwave Background
• Measuring our Peculiar Velocity by "Pre-deboosting" the CMB
• Planck-LFI radiometers' spectral response
• Removal of two large scale Cosmic Microwave Background anomalies after subtraction of the Integrated Sachs Wolfe effect
• CMB Aberration and Doppler Effects as a Source of Hemispherical Asymmetries
• CMB statistical anisotropy, multipole vectors and the influence of the dipole
• CMB low multipole alignments in the $\mathbf{\Lambda }$CDM and Dipolar models
• Improving Planck calibration by including frequency-dependent relativistic corrections
• Motion induced second order temperature and y-type anisotropies after the subtraction of linear dipole in the CMB maps

Cited by in corpus (28)

• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• Planck 2015 results. XVI. Isotropy and statistics of the CMB
• Planck intermediate results. XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth
• Planck intermediate results. LVII. Joint Planck LFI and HFI data processing
• Is the Observable Universe Consistent with the Cosmological Principle?
• CMB reconstruction from the WMAP and Planck PR2 data
• Kinetic Sunyaev Zeldovich effect in an anisotropic CMB model: measuring low multipoles of the CMB at higher redshifts using intensity and polarization spectral distortions
• BeyondPlanck I. Global Bayesian analysis of the Planck Low Frequency Instrument data
• Exploring cosmic origins with CORE: effects of observer peculiar motion
• Cosmoglobe DR1 results. I. Improved Wilkinson Microwave Anisotropy Probe maps through Bayesian end-to-end analysis
• Disentangling Doppler modulation, aberration and the temperature dipole in the CMB
• Cosmological implications of the Weyl geometric gravity theory
• CMB all-scale blackbody distortions induced by linearizing temperature
• CMB all-scale blackbody distortions induced by linearizing temperature
• Improving Planck calibration by including frequency-dependent relativistic corrections
• Detection of Dipole Modulation in CMB Temperature Anisotropy Maps from WMAP and Planck using Artificial Intelligence
• The CMB cold spot under the lens: ruling out a supervoid interpretation
• BeyondPlanck VIII. Efficient Sidelobe Convolution and Correction through Spin Harmonics
• Big Bang in Dipole Cosmology
• CMB statistical isotropy confirmation at all scales using multipole vectors
• Cosmological parameters from Planck data in SU(2)${}_{\mathrm{CMB}}$, their local $\Lambda$CDM values, and the modified photon Boltzmann equation
• The Microwave Thermal Emission from the Zodiacal Dust Cloud Predicted with Contemporary Meteoroid Models
• Level correlations of the CMB temperature angular power spectrum
• Nearly Full-Sky Low-Multipole Cosmic Microwave Background Temperature Anisotropy: III. CMB Temperature Anomalies
• CMB low multipole alignments across WMAP and \emph{Planck} data releases
• Fréchet Vectors as sensitive tools for blind tests of CMB anomalies
• First constraints on the intrinsic CMB dipole and our velocity with Doppler and aberration
• CMB line-of-sight integrators for nearly-isotropic cosmological models