Signature of Gravity Waves in Polarization of the Microwave Background

Abstract

Using spin-weighted decomposition of polarization in the Cosmic Microwave Background (CMB) we show that a particular combination of Stokes $Q$ and $U$ parameters vanishes for primordial fluctuations generated by scalar modes, but does not for those generated by primordial gravity waves. Because of this gravity wave detection is not limited by cosmic variance as in the case of temperature fluctuations. We present the exact expressions for various polarization power spectra, which are valid on any scale. Numerical evaluation in inflation-based models shows that the expected signal is of the order of 0.5 $\mu K$, which could be directly tested in future CMB experiments.

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

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• A Line of Sight Approach to Cosmic Microwave Background Anisotropies
• An All-Sky Analysis of Polarization in the Microwave Background
• A Probe of Primordial Gravity Waves and Vorticity
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• CMB in a box: causal structure and the Fourier-Bessel expansion
• Studies of Systematic Uncertainties for Simons Observatory: Detector Array Effects
• Delensing the CMB with the cosmic infrared background: the impact of foregrounds
• The First Space-Based Gravitational-Wave Detectors
• Dante's Waterfall
• New method to constrain the relativistic free-streaming gas in the Universe
• Continuous phase spaces and the time evolution of spins: star products and spin-weighted spherical harmonics
• Low Temperature Detectors for CMB Imaging Arrays
• E and B polarizations from inhomogeneous and solar surface turbulence
• Circular polarization in a spherical basis
• Reconstruction of primordial tensor power spectra from B-mode polarization of the cosmic microwave background
• Is Cosmology Compatible with Blue Gravity Waves ?
• Spin-SILC: CMB polarisation component separation with spin wavelets
• Spectral distortions in the cosmic microwave background polarization
• B polarization of cosmic background radiation from second-order scattering sources
• Improved Galactic Foreground Removal for B-Modes Detection with Clustering Methods
• Detecting Relic Gravitational Waves in the CMB: Comparison of Planck and Ground-based Experiments
• The Inflationary Gravity Waves in light of recent Cosmic Microwave Background Anisotropies data
• Primordial Gravitational Waves and Inflation: CMB and Direct Detection With Space-Based Laser Interferometers
• The Atacama B-Mode Search: CMB Polarimetry with Transition-Edge-Sensor Bolometers
• Inflamagnetogenesis redux: Unzipping sub-Planckian inflation via various cosmoparticle probes
• Impact of half-wave plate systematics on the measurement of cosmic birefringence from CMB polarization
• Suitability of Magnetic Microbolometers based on Paramagnetic Temperature Sensors for CMB Polarization Measurements
• Characterizing Atacama B-mode Search Detectors with a Half-Wave Plate
• A large-diameter cryogenic rotation stage for half-wave plate polarization modulation on the POLARBEAR-2 experiment
• PAPPA: Primordial Anisotropy Polarization Pathfinder Array
• A Generative Model of Galactic Dust Emission Using Variational Inference
• Cosmic microwave background polarization analysis
• Primordial Gravitational Waves Assisted by Cosmological Scalar Perturbations
• A Strategy to Minimize Dust Foregrounds in B-mode Searches
• Chasing cosmic inflation: constraints for inflationary models and reheating insights
• Real space estimator for the weak lensing convergence from the CMB
• Separating E from B
• Estimating the tensor-to-scalar ratio and the effect of residual foreground contamination
• Detecting chiral gravity with the pure pseudospectrum reconstruction of the cosmic microwave background polarized anisotropies
• CMB B-mode auto-bispectrum produced by primordial gravitational waves
• Reconstructing Cosmic Polarization Rotation with ResUNet-CMB
• Real-space computation of $E$/$B$-mode maps I: Formalism, Compact Kernels, and Polarized Filaments
• Mimetic DBI Inflation in Confrontation with Planck2018 data
• An Implementation of a Channelizer based on a Goertzel Filter Bank for the Read-Out of Cryogenic Sensors
• The Impact of Prior Assumptions on Bayesian Estimates of Inflation Parameters and the Expected Gravitational Waves Signal from Inflation
• CMB Polarization and Temperature Power Spectra Estimation using Linear Combination of WMAP 5-year Maps
• Requirements for future CMB satellite missions: photometric and band-pass response calibration
• A new perspective on turbulent Galactic magnetic fields through comparison of linear polarisation decomposition techniques
• The Simons Observatory: A fully remote controlled calibration system with a sparse wire grid for cosmic microwave background telescopes
• Detecting relic gravitational waves in the CMB: The contamination caused by the cosmological birefringence
• The B-mode polarization of CMB and Cosmic Neutrino Background
• Concept Design of Low Frequency Telescope for CMB B-mode Polarization satellite LiteBIRD
• Dimensionless cosmology
• An angular power spectrum analysis of the DRAO 1.4 GHz polarization survey: implications for CMB observations
• Cosmic 21-cm Fluctuations as a Probe of Fundamental Physics
• Lensing-induced morphology changes in CMB temperature maps in modified gravity theories
• Filamentary Dust Polarization and the Morphology of Neutral Hydrogen Structures
• Primordial gravitational wave phenomenology with polarized Sunyaev Zel'dovich tomography
• Foreground Bias From Parametric Models of Far-IR Dust Emission
• Wigner-Eckart theorem in cosmology: Bispectra for total-angular-momentum waves
• Detecting primordial gravitational waves with circular polarization of the redshifted 21 cm line: I. Formalism
• Fingerprints of a Non-Inflationary Universe from Massive Fields
• Impact of Instrumental Systematic Contamination on the Lensing Mass Reconstruction using the CMB Polarization
• LiteBIRD Science Goals and Forecasts: A full-sky measurement of gravitational lensing of the CMB
• The Impact of the Spectral Response of an Achromatic Half-Wave Plate on the Measurement of the Cosmic Microwave Background Polarization
• Primordial Magnetism in CMB B-modes
• Testing inflationary consistency relations by the potential CMB observations
• Testing for spectral index variations in polarised CMB foregrounds
• TES imaging array technology for CLOVER
• Post-inflation increase of the cosmological tensor-to-scalar perturbation ratio
• Hierarchical sinuous-antenna phased array for millimeter wavelengths
• Robust constraints on tensor perturbations from cosmological data: a comparative analysis from Bayesian and frequentist perspectives
• From B Modes to Quantum Gravity and Unification of Forces
• Batchelor, Saffman, and Kazantsev spectra in galactic small-scale dynamos
• Oscillation in power spectrum of primordial gravitational wave as a signature of higher-order stringy corrections
• Modeling parity-violating spectra in Galactic dust polarization with filaments and its applications to cosmic birefringence searches
• Two-layer anti-reflection coating with mullite and polyimide foam for large-diameter cryogenic infrared filters
• Hypersensitive tunable Josephson escape sensor for gigahertz astronomy
• STARS: A software application for the EBEX autonomous daytime star cameras
• The covariant perturbative approach to cosmic microwave background anisotropies
• Detecting primordial gravitational waves with circular polarization of the redshifted 21 cm line: II. Forecasts
• Ambipolar diffusion in large Prandtl number turbulence
• Cosmology with extragalactic proper motions: harmonic formalism, estimators, and forecasts
• Why CMB physics?
• Needlet thresholding methods in component separation
• Instability of de Sitter space under thermal radiation in different vacua
• Software systems for operation, control, and monitoring of the EBEX instrument
• B-mode constraints from Planck low multipole polarisation data
• Analysis of Polarized Dust Emission Using Data from the First Flight of SPIDER
• Cosmological Constraints on the Very Low Frequency Gravitational-Wave Background
• Detection of relic gravitational waves in the CMB: Prospects for CMBPol mission
• Gravitational waves, CMB polarization, and the Hubble tension
• Optimal and fast E/B separation with a dual messenger field
• Magnetic Helicity from Multipolar Regions on the Solar Surface
• Reionization by active sources and its effects on the cosmic microwave background
• Systematic effects in polarizing Fourier transform spectrometers for cosmic microwave background observations
• Optical Characterization of the Keck Array Polarimeter at the South Pole
• Impact of half-wave plate systematics on the measurement of CMB $B$-mode polarization
• CMB Polarization as complementary information to anisotropies
• Primordial Gravitational Waves Spectrum in the Coupled-Scalar-Tachyon Bounce Universe
• How bad could it be? Modelling the 3D complexity of the polarised dust signal using moment expansion
• Challenges in Cosmology from the Big Bang to Dark Energy, Dark Matter and Galaxy Formation
• Phase Shift Sequences for an Adding Interferometer
• Numerical Relativity Investigation of the Effects of Gravitational Waves on the Inhomogeneity of the Universe
• Improving Constraints on Inflation with CMB Delensing
• Status of CMB Polarization Measurements from DASI and Other Experiments
• Quantifying the statistics of CMB-lensing-derived galaxy cluster mass measurements with simulations
• Dependence of the amplitude of gravitational waves from preheating on the inflationary energy scale
• Demagnified GWs from Cosmological Double Neutron Stars and GW Foreground Cleaning Around 1Hz
• Joint Bayesian estimation of tensor and lensing B-modes in the power spectrum of CMB polarization data
• Helicity proxies from linear polarisation of solar active regions
• Tensor-induced B modes with no temperature fluctuations
• Polarization power spectra and dust cloud morphology
• Fast scalar quadratic maximum likelihood estimators for the CMB B-mode power spectrum
• Measurement and Modeling of Polarized Atmosphere at the South Pole with SPT-3G
• Scalar quadratic maximum likelihood estimators for the CMB cross power spectrum
• Design of a testbed for the study of system interference in space CMB polarimetry
• Constraints on cosmic birefringence using $E$-mode polarisation
• Separation of foreground and background signals in single frequency measurements of the CMB Polarization
• Thermal gravitational-wave background in the general pre-inflationary scenario
• Controlling systematics in ground-based CMB surveys with partial boresight rotation
• Statistical imprints of CMB B-type polarization leakage in an incomplete sky survey analysis
• Angular and Polarization Response of Multimode Sensors with Resistive-Grid Absorbers
• Forecast of CMB TB and EB correlations for AliCPT-1
• B-mode Power Spectrum of CMB via Polarized Compton Scattering
• Cross-correlation Power Spectra and Cosmic Birefringence of the CMB via Photon-neutrino Interaction
• Development of Calibration Strategies for the Simons Observatory
• Higher-Order Gravitational Lensing Reconstruction using Feynman Diagrams
• Fully superconducting Josephson bolometers for gigahertz astronomy
• Effective Field Theory of Chiral Gravitational Waves
• Detecting the tensor-to-scalar ratio with the pure pseudospectrum reconstruction of $B$-mode
• Spectral Distortions from Axion Monodromy Inflation
• 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
• Relic Cosmological Vector Fields and Inflationary Gravitational Waves
• Scalar-Induced Gravitational Waves in a $\Lambda$CDM Cosmology
• Investigating the Origin of CMB Large-Scale Features Using LiteBIRD and CMB-S4
• Very high frequency gravitational waves from magnetars and gamma-ray burst
• New probe of inflationary gravitational waves: cross-correlations of lensed primary CMB B-modes with large-scale structure
• PROTOCALC, A W-band polarized calibrator for CMB Telescopes: application to Simons Observatory and CLASS
• Simulating Calibration and Beam Systematics for a Future CMB Space Mission with the TOAST Package
• Smoothing methods comparison for CMB E- and B-mode separation
• Topological properties of the Cosmic Microwave Background polarization map
• Design and characterization of a ground-based absolute polarization calibrator for use with polarization sensitive CMB experiments
• Small field models of inflation that predict a tensor-to-scalar ratio $r=0.03$
• A Lensing Reconstruction of Primordial Cosmic Microwave Background Polarization
• The Simons Observatory: Assessing the Impact of Dust Complexity on the Recovery of Primordial $B$-modes
• Constraining primordial tensor features with the anisotropies of the Cosmic Microwave Background
• Development of epoxy-based millimeter absorber with expanded polystyrenes and carbon black
• Dark Radiation in Spectator Axion-Gauge Models
• The parity-odd Intrinsic Bispectrum
• Application of a helicity proxy to edge-on galaxies
• Particle Physics and the Cosmic Microwave Background
• Imaging parity-violation in the CMB
• Regular and chaotic dynamics of non-spherical bodies. Zeldovich's pancakes and emission of very long gravitational waves
• Detection of extremely low frequency gravitational wave using gravitational lens
• Foreground removal from WMAP 7yr polarization maps using an MLP neural network
• Gravitational Lensing of the CMB: a Feynman Diagram Approach
• Gravitational waves from galaxy encounters
• Constraining primordial vector mode from B-mode polarization
• B-mode polarization induced by gravitational waves from kinks on infinite cosmic strings
• NP Stokes fields for radio astronomy
• Secondary B-mode polarization from Faraday rotation in clusters and galaxies
• Genus statistics on CMB polarization maps and cosmological parameters degeneracy
• A Possible Cosmological Explanation of why Supersymmetry is hiding at the LHC
• Cosmic microwave background constraints on the tensor-to-scalar ratio
• Measuring CMB polarisation with the Planck mission
• Cosmic Bandits: Exploration versus Exploitation in CMB B-Mode Experiments
• Design and Performance of 30/40 GHz Diplexed Focal Plane for BICEP Array
• Late evolution of relic gravitational waves in coupled dark energy models
• The Simons Observatory: Validation of reconstructed power spectra from simulated filtered maps for the Small Aperture Telescope survey
• Prototype finline-coupled TES bolometers for CLOVER
• Optimizing interferometer experiments for CMB B mode measurement
• Imprint of primordial gravitational wave with extremely low frequency on gravitational lens system
• Red Density Perturbations and Inflationary Gravitational Waves
• Connecting Inflation to the NANOGrav 15-year Data Set via Massive Gravity
• Multi-dimensional optimisation of the scanning strategy for the LiteBIRD space mission
• Smooth $\mu$-Hybrid and Non-Minimal Higgs Inflation in $SU(4{)}_C\times SU(2{)}_L\times SU(2{)}_R$ With Observable Gravitational Waves
• Cosmic Microwave Background Polarization
• Non-Gaussianity of Inflationary Gravitational Waves from the Field Equation
• Hemispheric handedness in the Galactic synchrotron polarization foreground
• Confronting Inflation Models with the Coming Observations on Primordial Gravitational Waves
• Extended Delta-map: a map-based foreground removal method for CMB polarization observations
• Design and construction of a carbon fiber gondola for the SPIDER balloon-borne telescope
• Analytical study of classic models of Hybrid Inflation
• Approximate Likelihood Approaches for Detecting the Influence of Primordial Gravitational Waves in Cosmic Microwave Background Polarization
• Detecting milli-Hz gravitational waves with optical resonators
• The LSPE-Strip Pointing Reconstruction and Star Tracker
• Impact of reionization history on constraining primordial gravitational waves in future all-sky cosmic microwave background experiments
• Automatic Nelson-Barr solutions to the strong CP puzzle
• Polarization fraction of Planck Galactic cold clumps and forecasts for the Simons Observatory
• Intermediate and Power-Law Inflation in the Tachyon Model with Constant Sound Speed
• Weak Gravitational Lensing of CMB - Revisit
• Probing pre-inflationary anisotropy with directional variations in the gravitational wave background
• Observable CMB B-modes from Cosmological Phase Transitions
• Non-Gaussianity of Tensor Induced Density Perturbations
• Tensor Tilt from Primordial B-modes
• Homology reveals significant anisotropy in the cosmic microwave background
• Viable Intermediate Inflation in the Mimetic DBI Model
• Magnetic field evolution in solar-type stars
• Bias in the tensor-to-scalar ratio from self-interacting dark radiation
• How much will we learn from the CMB ?
• SageNet: Fast Neural Network Emulation of the Stiff-amplified Gravitational Waves from Inflation
• Cosmic Microwave Background Science at Commercial Airline Altitudes
• An "Ultrasonic Image" of the Embryonic Universe: CMB Polarization Tests of the Inflationary Paradigm
• Fluids in cosmology
• Modified Compton Effect and CMB Anisotropy
• A quantisation procedure in the presence of an initial Kasner singularity: primordial gravitational waves from triaxially anisotropic pre-inflation
• Cosmic backgrounds from the radio to the far-infrared: recent results and perspectives from cosmological and astrophysical surveys
• Testing for directionality in the Planck polarization and lensing data
• Fisher Matrix Optimization of Cosmic Microwave Background Interferometers
• Signatures of primordial gravitational waves in matter power spectrum
• Delensing CMB B-modes using galaxy surveys: the effect of galaxy bias and matter clustering non-linearities
• Inflationary gravitational wave background as a tail effect
• Slow roll inflation and BB mode angular power spectrum of CMB
• Preheating and gravitational waves in large-field hilltop inflation
• Cosmic Microwave Background Tests of Inflation
• BB mode angular power spectrum of CMB from massive gravity
• Searches for stochastic gravitational-wave backgrounds
• Robust Likelihoods for Inflationary Gravitational Waves from Maps of Cosmic Microwave Background Polarization
• Gravity of Cosmological Perturbations in the CMB
• Quantum measurement systems and applications to particle physics and cosmology
• Detecting relic gravitational waves in the CMB: A statistical bias
• Do We Have Sufficient Knowledge of the Galactic Foreground Emission in Cosmic Microwave Background Science?
• Design and Performance of 220 and 270 GHz Bandpass Filters for BICEP Array
• The Cosmic Microwave Background
• Secondary gravitational waves against a strong gravitational wave in the Bianchi VI universe
• Linear perturbations of an exact gravitational wave in the Bianchi IV universe
• QUIJOTE-TFGI polarization calibration -- Ground characterization and on-sky validation with Tau A and the Moon
• Skew-spectra: a generalization to spin-$s$
• Feedback-Controlled Beam Pattern Measurement Method Using a Power-Variable Calibration Source for Cosmic Microwave Background Telescopes
• Mitigating point-source contamination in CMB polarization: a Generalized Point Spread Function fitting approach
• On the computational feasibility of Bayesian end-to-end analysis of LiteBIRD simulations within Cosmoglobe
• Accurate and efficient likelihood modeling for large-scale CMB data
• Systematic error cancellation for a four-port interferometric polarimeter
• BrahMap: A scalable and modular map-making framework for the CMB experiments
• Theoretical and observational aspects of cosmological inflation
• Inflationary Hubble Parameter from the Gravitational Wave Spectrum in the General Slow-roll Approximation
• A Demonstration of Spectral Level Reconstruction of Intrinsic $B$-mode Power
• Primordial gravitational waves spectrum in the interacting Bose-Einstein gas model
• Bias on Tensor-to-Scalar Ratio Inference With Estimated Covariance Matrices
• Mitigating Cosmic Microwave Background Shadow Degradation of Tensor-to-scalar Ratio Measurements through Map-based Studies
• Optimal map-making with singularities
• Cosmology in a Globally U(1) Symmetric Scalar-Tensor Gravity
• The Simons Observatory: Design, Integration, and Current Status of Small Aperture Telescopes
• Probing CMB Polarization Gaussianity with the Statistics of Unpolarized Points: Non-Gaussianity of Planck Data and Prospects for Future B-Mode Measurements