An All-Sky Analysis of Polarization in the Microwave Background

Abstract

Using the formalism of spin-weighted functions we present an all-sky analysis of polarization in the Cosmic Microwave Background (CMB). Linear polarization is a second-rank symmetric and traceless tensor, which can be decomposed on a sphere into spin $\pm 2$ spherical harmonics. These are the analog of the spherical harmonics used in the temperature maps and obey the same completeness and orthogonality relations. We show that there exist two linear combinations of spin $\pm 2$ multipole moments which have opposite parities and can be used to fully characterize the statistical properties of polarization in the CMB. Magnetic-type parity combination does not receieve contributions from scalar modes and does not cross-correlate with either temperature or electric-type parity combination, so there are four different power spectra that fully characterize statistical properties of CMB. We present their explicit expressions for scalar and tensor modes in the form of line of sight integral solution and numerically evaluate them for a representative set of models. These general solutions differ from the expressions obtained previously in the small scale limit both for scalar and tensor modes. A method to generate and analyze all sky maps of temperature and polarization is given and the optimal estimators for various power spectra and their corresponding variances are discussed.

15 pages, 1 figure, RevTeX, matches the accepted version (to appear in Phys. Rev. D); code available at http://arcturus.mit.edu:80/~matiasz/CMBFAST/cmbfast.html

References in corpus (1)

• Polarization of the Microwave Background in Reionized Models

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• Probing large-scale magnetism with the Cosmic Microwave Background
• Generation of circular polarization in CMB radiation via nonlinear photon-photon interaction
• Beyond CMB cosmic variance limits on reionization with the polarized SZ effect
• In-flight polarization angle calibration for LiteBIRD: blind challenge and cosmological implications
• Geometry and Statistics of Cosmic Microwave Polarization
• An Instrument for Investigating the Large Angular Scale Polarization of the Cosmic Microwave Background
• Observational Strategies of CMB Temperature and Polarization Interferometry Experiments
• The Atacama Cosmology Telescope: Map-Based Noise Simulations for DR6
• Recovery of Large Angular Scale CMB Polarization for Instruments Employing Variable-delay Polarization Modulators
• Microwave Background Polarization as a Probe of Large-Angle Correlations
• Parity Violating Non-Gaussianity from Axion-Gauge Field Dynamics
• Is there a left-handed magnetic field in the solar neighborhood? Exploring helical magnetic fields in the interstellar medium through dust polarization power spectra
• Optimal constraints on primordial gravitational waves from the lensed CMB
• Gravitational wave fossils in nonlinear regime: halo tidal bias and intrinsic alignments from gravitational wave separate universe simulations
• Statistical diagnostics to identify Galactic foregrounds in B-mode maps
• Probing the statistical properties of CMB $B$-mode polarization through Minkowski Functionals
• Isocurvature modes and Baryon Acoustic Oscillations II: gains from combining CMB and Large Scale Structure
• How to detect gravitational waves through the cross-correlation of the galaxy distribution with the CMB polarization
• Cosmic birefringence tomography with polarized Sunyaev Zel'dovich effect
• Chiral photons from chiral gravitational waves
• LiteBIRD Science Goals and Forecasts: Improving Sensitivity to Inflationary Gravitational Waves with Multitracer Delensing
• The large-scale polarization of the microwave background and foreground
• Minkowski Functionals of CMB polarisation intensity with Pynkowski: theory and application to Planck and future data
• Separating polarized cosmological and galactic emissions for CMB B-mode polarization experiments
• Cosmological constraints from $\mu E$ cross-correlations
• Testing extended Jordan-Brans-Dicke theories with future cosmological observations
• BoloCalc: a sensitivity calculator for the design of Simons Observatory
• Inflation as an amplifier: the case of Lorentz violation
• New Constraints on Anisotropic Rotation of CMB Polarization
• An anisotropic universe due to dimension-changing vacuum decay
• Polarized wavelets and curvelets on the sphere
• Gauge-Invariant Formalism of Cosmological Weak Lensing
• Wavelet reconstruction of E and B modes for CMB polarisation and cosmic shear analyses
• Primordial non-Gaussian signatures in CMB polarization
• Angular dependence of primordial trispectra and CMB spectral distortions
• Litmus Test for Cosmic Hemispherical Asymmetry in the Cosmic Microwave Background B-mode polarization
• Antenna Instrumental Polarization and its Effects on E- and B-Modes for CMBP Observations
• Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum
• Higher Order Corrections to the Primordial Gravitational Wave Spectrum and its Impact on Parameter Estimates for Inflation
• Magneto-optic effects of the Cosmic Microwave Background
• Signatures of Pseudoscalar Photon Mixing in CMB Radiation
• Blind component separation for polarized observations of the CMB
• A Beginner's Guide to the Theory of CMB Temperature and Polarization Power Spectra in the Line-of-Sight Formalism
• Wiener filtering and pure E/B decomposition of CMB maps with anisotropic correlated noise
• Perturbed Recombination from Dark Matter Annihilation
• Stochastic gravitational wave background from cold dark matter halos
• The Balloon-borne Large-Aperture Submillimeter Telescope for Polarization: BLAST-pol
• Probing frequency-dependent half-wave plate systematics for CMB experiments with full-sky beam convolution simulations
• Probing cosmic strings by reconstructing polarization rotation of the cosmic microwave background
• Instrumental systematics biases in CMB lensing reconstruction: a simulation-based assessment
• Pure E and B polarization maps via Wiener filtering
• Exploring two-spin internal linear combinations for the recovery of the CMB polarization
• Imprint of Inhomogeneous and Anisotropic Primordial Power Spectrum on CMB Polarization
• Neutrinos and dark energy constraints from future galaxy surveys and CMB lensing information
• CMB in a box: causal structure and the Fourier-Bessel expansion
• Relic gravitational waves in the light of 7-year Wilkinson Microwave Anisotropy Probe data and improved prospects for the Planck mission
• Causality and Primordial Tensor Modes
• Probing the largest scale structure in the universe with polarization map of galaxy clusters
• Cosmological measurement of neutrino mass in the presence of leptonic asymmetry
• Is Cosmology Compatible with Blue Gravity Waves ?
• 3D weak lensing with spin wavelets on the ball
• CMB $V$ modes from photon-photon forward scattering revisited
• Future CMB ISW-Lensing bispectrum constraints on modified gravity in the Parameterized Post-Friedmann formalism
• New probe of magnetic fields in the prereionization epoch. I. Formalism
• CMB Mode Coupling with Isotropic Polarization Rotation
• Continuous phase spaces and the time evolution of spins: star products and spin-weighted spherical harmonics
• Design and characterization of the Cosmology Large Angular Scale Surveyor (CLASS) 93 GHz focal plane
• A wavelet-Galerkin algorithm of the E/B decomposition of CMB polarization maps
• Circular dichroism, magnetic knots and the spectropolarimetry of the Cosmic Microwave Background
• Constraining the topology of the Universe using the polarised CMB maps
• Computation approach for CMB bispectrum from primordial magnetic fields
• CMB spectra and bispectra calculations: making the flat-sky approximation rigorous
• QUBIC VIII: Optical design and performance
• Circular polarization in a spherical basis
• BeyondPlanck XI. Bayesian CMB analysis with sample-based end-to-end error propagation
• Lyman-$\alpha$ Polarization Intensity Mapping
• The conventions for the polarization angle
• Gravitational Waves: A Test for Modified Gravity
• Photon-neutrino scattering and the B-mode spectrum of CMB photons
• Polarization Signal of Distant Clusters and Reconstruction of Primordial Potential Fluctuations
• Primordial quadrupole-induced polarisation from filamentary structures and galaxy clusters
• First attempt at measuring the CMB cross-polarization
• Measuring the Homogeneity of the Universe Using Polarization Drift
• Cosmic polarimetry in magnetoactive plasmas
• Detecting Relic Gravitational Waves in the CMB: Comparison of Planck and Ground-based Experiments
• Second-order cosmological perturbations. I. Produced by scalar-scalar coupling in synchronous gauge
• Impact of half-wave plate systematics on the measurement of cosmic birefringence from CMB polarization
• Level Crossing Analysis of Cosmic Microwave Background Radiation: A method for detecting cosmic strings
• Explanatory Depth in Primordial Cosmology: A Comparative Study of Inflationary and Bouncing Paradigms
• Advanced Diagnostics for the Study of Linearly Polarized Emission. I: Derivation
• Optical modeling and polarization calibration for CMB measurements with ACTPol and Advanced ACTPol
• Full-sky beam convolution for cosmic microwave background applications
• A large-diameter cryogenic rotation stage for half-wave plate polarization modulation on the POLARBEAR-2 experiment
• A New Solution for the Observed Isotropic Cosmic Birefringence Angle and its Implications for the Anisotropic Counterpart through a Boltzmann Approach
• Mapping dark matter on the celestial sphere with weak gravitational lensing
• Second-order cosmological perturbations. II. Produced by scalar-tensor and tensor-tensor couplings
• E/B Separation in CMB Interferometry
• Second-order cosmological perturbations. IV. Produced by scalar-tensor and tensor-tensor couplings during the radiation dominated stage
• Implementation of a Fourier Matched Filter in CMB Analyses. Application to ISW Studies
• Classification of singular points in polarization field of CMB and eigenvectors of Stokes matrix
• Detecting chiral gravity with the pure pseudospectrum reconstruction of the cosmic microwave background polarized anisotropies
• Real space lensing reconstruction using cosmic microwave background polarization
• Primordial Gravitational Waves Assisted by Cosmological Scalar Perturbations
• A comparison between Faraday Tomography and Synchrotron Polarization Gradients
• Separating E from B
• The effects on CMB power spectra and bispectra from the polarization rotation and its correlations with temperature and E-polarization
• Chasing cosmic inflation: constraints for inflationary models and reheating insights
• A Strategy to Minimize Dust Foregrounds in B-mode Searches
• Using pulsar timing arrays and the quantum normalization condition to constrain relic gravitational waves
• The B-mode polarization of CMB and Cosmic Neutrino Background
• Real-space computation of $E$/$B$-mode maps I: Formalism, Compact Kernels, and Polarized Filaments
• Morphological Analysis of the Polarized Synchrotron Emission with WMAP and Planck
• Analysis method for 3D power spectrum of projected tensor field with fast estimator and window convolution modelling: an application to intrinsic alignments
• Birefringence, CMB polarization and magnetized B-mode
• Is patchy reionization an obstacle in detecting the primordial gravitational wave signal?
• Generation of Circular Polarization of CMB via Polarized Compton Scattering
• CMB Polarization and Temperature Power Spectra Estimation using Linear Combination of WMAP 5-year Maps
• Analysis of NILC performance on B-modes data of sub-orbital experiments
• Testing CMB Anomalies in E-mode Polarization with Current and Future Data
• Galactic Faraday rotation effect on polarization of 21 cm lines from the epoch of reionization
• Probing parity-odd bispectra with anisotropies of GW $V$ modes
• A new perspective on turbulent Galactic magnetic fields through comparison of linear polarisation decomposition techniques
• CMB B-mode auto-bispectrum produced by primordial gravitational waves
• On the asymptotic connection between full- and flat-sky angular correlators
• Mimetic DBI Inflation in Confrontation with Planck2018 data
• An Examination of Galactic Polarization with Application to the Planck TB Correlation
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• LiteBIRD Science Goals and Forecasts: A full-sky measurement of gravitational lensing of the CMB
• Detecting primordial gravitational waves with circular polarization of the redshifted 21 cm line: I. Formalism
• Primordial power spectrum of tensor perturbations in Finsler spacetime
• Reheating signature in the gravitational wave spectrum from self-ordering scalar fields
• Mass-varying neutrino in light of cosmic microwave background and weak lensing
• Analytic Spectra of CMB Anisotropies and Polarization Generated by Scalar Perturbations in Synchronous Gauge
• Wigner-Eckart theorem in cosmology: Bispectra for total-angular-momentum waves
• E and B families of the Stokes parameters in the polarized synchrotron and thermal dust foregrounds
• Inclusive Constraints on Unified Dark Matter Models from Future Large-Scale Surveys
• Probing primordial features with the primary CMB
• The link between E-B polarization modes and gas column density from interstellar dust emission
• Impact of Instrumental Systematic Contamination on the Lensing Mass Reconstruction using the CMB Polarization
• CMB polarization as a tool to constrain the optical properties of the Universe
• Gravitational waves in neutrino plasma and NANOGrav signal
• Glauber theory and the quantum coherence of curvature inhomogeneities
• Concept Design of Low Frequency Telescope for CMB B-mode Polarization satellite LiteBIRD
• CMB Polarization at Large Angular Scales: Data Analysis of the POLAR Experiment
• An Observational Test of Holographic Inflation
• Modeling parity-violating spectra in Galactic dust polarization with filaments and its applications to cosmic birefringence searches
• Mosaicking with cosmic microwave background interferometers
• Revisit relic gravitational waves based on the latest CMB observations
• Approximate Consistency Condition from Running Spectral Index in Slow-Roll Inflationary Models
• Real space tomography of the primordial Universe with cluster polarization
• Impact of Anisotropic Birefringence on Measuring Cosmic Microwave Background Lensing
• Entangled Scalar and Tensor Fluctuations during Inflation
• The History of Inflation from Microwave Background Polarimetry and Laser Interferometry
• Stochastic gravitational waves from long cosmic strings
• Relic gravitational waves in the frame of slow-roll inflation with a power-law potential and the detection
• Boltzmann equations for astrophysical Stochastic Gravitational Wave Backgrounds scattering off of massive objects
• Fast CMB lensing using statistical interpolation on the sphere
• Circular polarization of cosmic photons due to their interactions with Sterile neutrino dark matter
• CMB imprints of non-canonical anisotropic inflation
• Why CMB physics?
• Needlet thresholding methods in component separation
• Correlation between opposite-helicity gravitons: Imprints on gravity-wave and microwave backgrounds
• Recent developments in astrophysical and cosmological exploitation of microwave surveys
• Testing statistical Isotropy in Cosmic Microwave Background Polarization maps
• Detecting primordial gravitational waves with circular polarization of the redshifted 21 cm line: II. Forecasts
• Missing baryons, bulk flows and the E-mode polarization of the Cosmic Microwave Background
• Sunyaev-Zel'dovich power spectrum with decaying cold dark matter
• Marginal distributions for cosmic variance limited CMB polarization data
• Cosmological Inflation and Meta-Empirical Theory Assessment
• CMB anisotropies induced by tensor modes in Massive Gravity
• Delensing of Cosmic Microwave Background Polarization with machine learning
• Integrated perturbation theory for cosmological tensor fields. III. Projection effects
• Spin Needlets for Cosmic Microwave Background Polarization Data Analysis
• Direct reconstruction of spherical harmonics from interferometer observations of the CMB polarization
• The consistency relation in braneworld inflation
• New Interpretations of the Cosmological Preference for a Negative Neutrino Mass
• Second-order cosmological perturbations. III. Produced by scalar-scalar coupling during radiation-dominated stage
• Deep 1.4-GHz observations of diffuse polarized emission
• A global two-scale helicity proxy from $\pi$-ambiguous solar magnetic fields
• Multiple Field Inflation and Signatures of Heavy Physics in the CMB
• Testing the ABS method with the simulated Planck temperature maps
• Gravitational waves, CMB polarization, and the Hubble tension
• Optimized Large-Scale CMB Likelihood And Quadratic Maximum Likelihood Power Spectrum Estimation
• Exact CMB B-mode power spectrum from anisotropic cosmic birefringence
• Fingerprint of Galactic Loop I on polarized microwave foregrounds
• Optimal and fast E/B separation with a dual messenger field
• How well do third-order aperture mass statistics separate E- and B-modes?
• CMB foreground measurements through broad-band radio spectro-polarimetry: prospects of the SKA-MPG telescope
• CMB Telescopes and Optical Systems
• Detection of relic gravitational waves in the CMB: Prospects for CMBPol mission
• B-Mode auto-bispectrum due to matter bounce
• Quantum Fluctuations in Cosmology and How They Lead to a Multiverse
• Construction of Cosmic String Induced Temperature Anisotropy Maps with CMBFAST and Statistical Analysis
• The Annulus-Filtered E and B Modes in CMBR Polarization
• Reassessing Dust's Role in Forming the CMB
• Calibration System with Cryogenically-Cooled Loads for CMB Polarization Detectors
• Cross-Correlation Studies with CMB Polarization Maps
• Gravitational Wave -- Gauge Field Dynamics
• Tensor modes on the string theory landscape
• Signatures of graviton masses on the CMB
• Cosmological perturbations without the Boltzmann hierarchy
• QUIJOTE scientific results -- V. The microwave intensity and polarisation spectra of the Galactic regions W49, W51 and IC443
• Full-sky correlation functions for CMB experiments with asymmetric window functions
• Improving Constraints on Inflation with CMB Delensing
• Impact of half-wave plate systematics on the measurement of CMB $B$-mode polarization
• WMAP Polarization Results
• CMB Polarization as complementary information to anisotropies
• Euclid preparation. LIX. Angular power spectra from discrete observations
• Scaling laws and sum rules for the B-mode polarization
• Forecast of foreground cleaning strategies for AliCPT-1
• Status of CMB Polarization Measurements from DASI and Other Experiments
• Probing inflation with CMB polarization : weak lensing effect on the covariance of CMB spectra
• All-sky analysis of astrochronometric signals induced by gravitational waves
• Fast, exact (but unstable) spin spherical harmonic transforms
• A Simulation-Based Method for Correcting Mode Coupling in CMB Angular Power Spectra
• Fast scalar quadratic maximum likelihood estimators for the CMB B-mode power spectrum
• The Quest for the Inflationary Spectral Runnings in the Presence of Systematic Errors
• Extracting parity-violating gravitational waves from projected tidal force tensor in three dimensions
• A circular polarimeter for the Cosmic Microwave Background
• Cosmic Microwave Background Anisotropy numerical solution (CMBAns) I: An introduction to $C_l$ calculation
• Cosmology Large Angular Scale Surveyor (CLASS): 90 GHz Telescope Pointing, Beam Profile, Window Function, and Polarization Performance
• Emergent cosmological constant from colliding electromagnetic waves
• Cosmological parameter determination from Planck and SDSS data in LambdaCHDM cosmologies
• Almanac: MCMC-based signal extraction of power spectra and maps on the sphere
• Tensor-induced B modes with no temperature fluctuations
• Impact of intrinsic alignments on clustering constraints of the growth rate
• Helicity proxies from linear polarisation of solar active regions
• B-mode Power Spectrum of CMB via Polarized Compton Scattering
• Pulsar Timing Residuals Induced by Gravitational Waves from Single Non-evolving Supermassive Black Hole Binaries with Elliptical Orbits
• Measuring primordial gravitational waves from CMB B-modes in cosmologies with generalized expansion histories
• Cosmological Parameters from a re-analysis of the WMAP-7 low resolution maps
• Non-axisymmetric aberration patterns from wide-field telescopes using spin-weighted Zernike Polynomials
• Consistency of the nonflat $\Lambda$CDM model with the new result from BOSS
• CMB Angular Power Spectrum from Correlated Primordial Fluctuation
• On spectral representations of tensor random fields on the sphere
• Statistics of non-polarized points in the CMB polarization maps
• A forecast of the sensitivity on the measurement of the optical depth to reionization with the GroundBIRD experiment
• Cross-correlation Power Spectra and Cosmic Birefringence of the CMB via Photon-neutrino Interaction
• Complementarity of Future Dark Energy Probes
• Propagating spatially-varying multiplicative shear bias to cosmological parameter estimation for stage-IV weak-lensing surveys
• Constraints on cosmic birefringence using $E$-mode polarisation
• Forecast of CMB TB and EB correlations for AliCPT-1
• Tomographic constraint on anisotropic cosmic birefringence
• Observation of gravitational waves by light polarization
• Design of a testbed for the study of system interference in space CMB polarimetry
• Statistical imprints of CMB B-type polarization leakage in an incomplete sky survey analysis
• The Superhorizon Test of Future B-mode Experiments
• Limits on the gravity wave contribution to microwave anisotropies
• Detecting the tensor-to-scalar ratio with the pure pseudospectrum reconstruction of $B$-mode
• Expressing the equation of state parameter in terms of the three dimensional cosmic shear
• Second-order cosmological perturbations produced by scalar-scalar coupling during inflation stage
• Cosmic Birefringence as a probe of dark matter nature: Sterile neutrino and dipolar dark matter
• Spin-Weighted Spherical Harmonics for Polarized Light Transport
• Topological properties of the Cosmic Microwave Background polarization map
• The Large-Scale Polarization of the Microwave Foreground
• Impact of intrinsic polarisation of Sgr A* historical flares on (polarisation) properties of their X-ray echoes
• Linear Polarization of the 21 cm Line from the Epoch of Reionization
• New probe of inflationary gravitational waves: cross-correlations of lensed primary CMB B-modes with large-scale structure
• Signatures of Modified Dispersion Relation of Graviton in the Cosmic Microwave Background
• Smoothing methods comparison for CMB E- and B-mode separation
• Prospects for Primordial Gravitational Waves in String Inflation
• Optimal Boltzmann hierarchies with non-vanishing spatial curvature
• Isotropic cosmic birefringence from an oscillating axion-like field
• Can inflationary models of cosmic perturbations evade the secondary oscillation test?
• The effect of cosmic variance on the characteristics of dust polarization power spectra
• Measuring the modified gravitational waves propagation beyond general relativity from CMB observations
• A Pop III generated dust screen at z~16
• QUIJOTE scientific results -- XVIII. New constraints on the polarization of the Anomalous Microwave Emission in bright Galactic regions: $\rho$\,Ophiuchi, Perseus and W43
• Constraining primordial tensor features with the anisotropies of the Cosmic Microwave Background
• Modelling TES non-linearity induced by a rotating HWP in a CMB polarimeter
• Primordial gravitational waves from spontaneous Lorentz symmetry breaking
• A fast map-making preconditioner for regular scanning patterns
• Simulation of Cosmic Microwave Background Polarization Fields for AMiBA Experiment
• The imprint of primordial gravitational waves on the CMB intensity profile
• Interferences in the Stochastic Gravitational Wave Background
• Effect of the Early Reionization on the Cosmic Microwave Background and Cosmological Parameter Estimates
• Tensor B mode and stochastic Faraday mixing
• Constraining primordial vector mode from B-mode polarization
• Application of a helicity proxy to edge-on galaxies
• The establishment of the Standard Cosmological Model through observations
• On CMB B-modes and the Onset of Inflation
• B-mode polarization induced by gravitational waves from kinks on infinite cosmic strings
• Imaging parity-violation in the CMB
• NP Stokes fields for radio astronomy
• Confronting the Potential-driven DBI-inspired nonminimal kinetic coupling (Dinkic) inflation to the observational data
• Optimistic estimation on probing primordial gravitational waves with CMB B-mode polarization
• Establishing the origin of CMB B-mode polarization
• Secondary B-mode polarization from Faraday rotation in clusters and galaxies
• The Simons Observatory: impact of bandpass, polarization angle and calibration uncertainties on small-scale power spectrum analysis
• Genus statistics on CMB polarization maps and cosmological parameters degeneracy
• Impact of the vector dark matter on polarization of the CMB photon
• A New Upper Limit on the Polarization of the Cosmic Microwave Background Radiation
• CMB B-mode polarization from Thomson scattering in the local universe
• Measuring the primordial gravitational waves from cosmic microwave background and stochastic gravitational wave background observations
• Connecting Inflation to the NANOGrav 15-year Data Set via Massive Gravity
• Scalar-tensor mixing from icosahedral inflation
• The two-and three-point correlation functions of the polarized five-year WMAP sky maps
• Confronting Inflation Models with the Coming Observations on Primordial Gravitational Waves
• Optimizing interferometer experiments for CMB B mode measurement
• Hemispheric handedness in the Galactic synchrotron polarization foreground
• Red Density Perturbations and Inflationary Gravitational Waves
• All-sky reconstruction of the primordial scalar potential from WMAP temperature data
• A comprehensive study of Modulation effects on CMB Polarization
• Magnetic field contribution to the last electron-photon scattering
• Cosmic Microwave Background Polarization
• Separating Angular and Radial Modes with Spherical-Fourier Bessel Power Spectrum on All Scales and Implications for Systematics Mitigation
• Measuring the primordial curvature perturbations from the scalar induced gravitational waves
• ForSE+: Simulating non-Gaussian CMB foregrounds at 3 arcminutes in a stochastic way based on a generative adversarial network
• The Cosmic Microwave Background anisotropies: open problems
• CMB Polarization by the Asymmetric Template of Scalar Perturbations
• Predicting the Polarization of The Microwave Background from the WMAP Temperature Maps
• Lyman-$\alpha$ polarization from cosmological ionization fronts: II. Implications for intensity mapping
• From top-hat masking to smooth transitions: P-filter and its application to polarized microwave sky maps
• Intermediate and Power-Law Inflation in the Tachyon Model with Constant Sound Speed
• Study of primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ with the cross-correlations between the scalar-induced gravitational waves and the cosmic microwave background
• Homology reveals significant anisotropy in the cosmic microwave background
• Fermions and gravitational gyrotropy
• Accelerating spherical harmonic transforms for a large number of sky maps
• Weak Gravitational Lensing of CMB - Revisit
• Statistics of the CMB polarised anisotropies
• CMB polarization analysis on circular scans
• Observable CMB B-modes from Cosmological Phase Transitions
• Reconstruction of full sky CMB $\mathbf{E}$ and $\mathbf{B}$ modes spectra removing $\mathbf{E}$-to-$\mathbf{B}$ leakage from partial sky using deep learning
• CMB delensing with deep learning
• Impact of reionization history on constraining primordial gravitational waves in future all-sky cosmic microwave background experiments
• Magnetic field evolution in solar-type stars
• Testing CMB polarization data using position angles
• Spacetime variation of $\alpha$ and the CMB power spectra after the recombination
• Automatic Nelson-Barr solutions to the strong CP puzzle
• Imprints of relic gravitational waves on pulsar timing
• Angular Power Spectrum of B-mode Polarization from Cosmic String Wakes
• On the Scale of Inflation
• Next-generation test of cosmic inflation
• Viable Intermediate Inflation in the Mimetic DBI Model
• Approximate Likelihood Approaches for Detecting the Influence of Primordial Gravitational Waves in Cosmic Microwave Background Polarization
• A Consistency Relation for the CMB B-mode Polarization in the Squeezed Limit
• Parity Violation in Galaxy Shapes: Primordial Non-Gaussianity
• Cosmic Microwave Background anisotropies: the power spectrum and beyond
• Cosmic backgrounds from the radio to the far-infrared: recent results and perspectives from cosmological and astrophysical surveys
• Observing low elevation sky and the CMB Cold Spot with BICEP3 at the South Pole
• Modified Compton Effect and CMB Anisotropy
• A New Estimator for Phase Statistics
• Unbiased Primordial Gravitational Wave Inference from the CMB with SMICA
• Quasi-matter Bounce Cosmology in Light of Planck
• Computerized Stokes analysis of optically active polymer films
• Forecasting isocurvature models with CMB lensing information: axion and curvaton scenarios
• Fisher Matrix Optimization of Cosmic Microwave Background Interferometers
• Improved Method for Detecting Local Discontinuities in CMB data by Finite Differencing
• Gravity of Cosmological Perturbations in the CMB
• A Foreground Model Independent Bayesian CMB Temperature and Polarization Signal Reconstruction and Cosmological Parameter Estimation over Large Angular Scales
• A Cosmological Bragg Law: Interpreting the CMB as a Diffractogram of Foliated Spacetime
• An Optimal-Dimensionality Sampling for Spin-$s$ Functions on the Sphere
• Spectator fields and their imprints on the Cosmic Microwave Background
• Primordial Gravitational Waves and Rescattered Electromagnetic Radiation in the Cosmic Microwave Background
• Origin & evolution of the Universe
• Maps of the Cosmos: The Cosmic Microwave Background
• Statical properties of CMB B-mode polarisation in a partial sky analysis
• Revisiting secondary CMB distortions due to kinetic Sunyaev-Zel'dovich effect from quasar bubbles before reionization
• Chern-Simons gravitational term coupled to a spectator field
• Time-dependent deflection reconstruction: new technique to search for gravitational waves with the cosmic microwave background
• Determining the expansion history of the universe with the three dimensional cosmic shear
• Pulsar timing residuals due to individual non-evolving gravitational wave sources
• The effect of a scanning flat fold mirror on a CMB B-mode experiment
• Dipole Modulation in Tensor Modes: Signatures in CMB Polarization
• Theoretical and observational aspects of cosmological inflation
• Weighting CMB and Galactic synchrotron polarisation
• Secondary CMB anisotropies from magnetized halos --I: Power spectra of the Faraday rotation angle and conversion rate
• Generation of CMB B-mode Polarization from Circular Polarization
• Tensor-Induced CMB Temperature-Polarization Correlation in Reionized Universes
• BICEP/Keck XXI: Constraints on Early-Universe Parity Violation from Multipole-Dependent Birefringence
• The presence of Primordial Gravitational Waves in the Cosmic Microwave Background
• CMB Tensor Anisotropies in f(R) Gravity
• Measuring the speed of scalar induced gravitational waves from observations
• Mitigating Cosmic Microwave Background Shadow Degradation of Tensor-to-scalar Ratio Measurements through Map-based Studies
• Polarization angle requirements for CMB B-mode experiments. Application to the LiteBIRD satellite
• Comparison of the Planck 2018 CMB polarization maps in the BICEP2/Keck region
• All-Sky Imaging with Vector Sensor Interferometry
• The Design and Integrated Performance of SPT-3G
• SNS: Analytic Receiver Analysis Software Using Electrical Scattering Matrices