CMB Polarization by the Asymmetric Template of Scalar Perturbations

Abstract

Inspired by a dipole asymmetric template for the CMB temperature map in the primordial scalar fluctuations observed by Planck at a large scale, we examine the contribution of a similar template for power asymmetry in modifying the linear polarization pattern of CMB. Replacing un-modulated temperature fluctuation with dipolar modulated one in time evolution equations somehow breaks linear perturbation in the various components of the CMB map. This non-linearity allows deflecting CMB polarization in patterns that contain divergence-free components. The explicit expressions for the angular power spectra of the electric and magnetic-type parities of linear polarization are derived in the form of the line of sight integral solutions. Our results demonstrate that the electric-type polarization is modified and the magnetic-type polarization would be produced. Such imprints depend on the linear and square of the asymmetric amplitude for $E$- and $B$-modes power spectra, respectively. For the observed dipole template, the value of $B$ polarization spectrum at the large scale ($\ell \lesssim 10$) is almost equivalent to the power spectrum obtained from Compton scattering in the presence of tensor perturbation with tensor to scalar ratio about $r\simeq 0.005$.

arXiv comment20 pages, 2 figures

References in corpus (54)

• Planck 2015 results. XIII. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Planck 2018 results. X. Constraints on inflation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• An All-Sky Analysis of Polarization in the Microwave Background
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Nongaussian Isocurvature Perturbations from Inflation
• Asymmetries in the CMB anisotropy field
• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• BICEP2 / Keck Array x: Constraints on Primordial Gravitational Waves using Planck, WMAP, and New BICEP2/Keck Observations through the 2015 Season
• Planck 2015 results. XVI. Isotropy and statistics of the CMB
• Multipole Vectors--a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2<=l<=8
• CMB polarization from secondary vector and tensor modes
• On the large-angle anomalies of the microwave sky
• Increasing evidence for hemispherical power asymmetry in the five-year WMAP data
• Cosmic Microwave Background Polarization
• Estimators for CMB Statistical Anisotropy
• Spontaneous Isotropy Breaking: A Mechanism for CMB Multipole Alignments
• Measuring Statistical isotropy of the CMB anisotropy
• Power Asymmetry in Cosmic Microwave Background Fluctuations from Full Sky to Sub-degree Scales: Is the Universe Isotropic?
• Power asymmetry in WMAP and Planck temperature sky maps as measured by a local variance estimator
• Faraday Rotation of the Cosmic Microwave Background Polarization by a Stochastic Magnetic Field
• Non-linear isocurvature perturbations and non-Gaussianities
• CMB Anisotropies at Second-Order II: Analytical Approach
• Constraints on mode couplings and modulation of the CMB with WMAP data
• Faraday Rotation of the Cosmic Microwave Background Polarization and Primordial Magnetic Field Properties
• The N-point correlation functions of the first-year Wilkinson Microwave Anisotropy Probe sky maps
• B polarization of the CMB from Faraday rotation
• Broken Isotropy from a Linear Modulation of the Primordial Perturbations
• Testing Global Isotropy of Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Data: Temperature Analysis
• Large scale anomalies in the CMB and non-Gaussianity in bouncing cosmologies
• Hemispherical Asymmetry and Local non-Gaussianity: a Consistency Condition
• Microwave Background Correlations from Dipole Anisotropy Modulation
• CMB dipole asymmetry from a fast roll phase
• Hemispherical Power Asymmetry from a Space-Dependent Component of the Adiabatic Power Spectrum
• The intrinsic B-mode polarisation of the Cosmic Microwave Background
• Testing the Dipole Modulation Model in CMBR
• Direction dependence of the power spectrum and its effect on the Cosmic Microwave Background Radiation
• Anomalies in the CMB from a cosmic bounce
• Expected dipole asymmetry in CMB polarization
• Hemispherical Anomaly from Asymmetric Initial States
• CMB hemispherical asymmetry from non-linear isocurvature perturbations
• Testing physical models for dipolar asymmetry with CMB polarization
• Photon-neutrino scattering and the B-mode spectrum of CMB photons
• Implications of the CMB power asymmetry for the early universe
• Scale-dependent dipolar modulation and the quadrupole-octopole alignment in the CMB temperature
• Testing statistical Isotropy in Cosmic Microwave Background Polarization maps
• Primordial anisotropies from cosmic strings during inflation
• A Pixel Space Method for Testing Dipole Modulation in the CMB Polarization
• Statistical anisotropies in temperature and polarization fluctuations from a scale-dependent trispectrum
• B-mode Power Spectrum of CMB via Polarized Compton Scattering
• Cosmic microwave background polarization in Noncommutative space-time
• Dipolar dark matter and CMB B-mode polarization

Cited by in corpus (2)

• Cosmic Birefringence as a probe of dark matter nature: Sterile neutrino and dipolar dark matter
• Local bandpower diagnostics for the hemispherical power asymmetry in CMB E-mode polarization