CMB B-mode non-Gaussianity: optimal bispectrum estimator and Fisher forecasts
arXiv:1911.11349 · doi:10.1103/PhysRevD.102.023521
Abstract
Upcoming cosmic microwave background (CMB) data can be used to explore harmonic 3-point functions that involve the B-mode component of the CMB polarization signal. We focus on bispectra describing the non-Gaussian correlation of the B-mode field and the CMB temperature anisotropies (T) and/or E-mode polarization, i.e. <TTB>, <EEB>, and <TEB>. Such bispectra probe violations of the tensor consistency relation: the model-independent behavior of cosmological correlation functions that involve a large-wavelength tensor mode (gravitational wave). An observed violation of the tensor consistency relation would exclude a large number of inflation models. We describe a generalization of the Komatsu-Spergel-Wandelt (KSW) bispectrum estimator that allows statistical inference on this type of primordial non-Gaussianity with data of the CMB temperature and polarization anisotropies. The generalized estimator shares its statistical properties with the existing KSW estimator and retains the favorable numerical scaling with angular resolution. In this paper we derive the estimator and present a set of Fisher forecasts. We show how the forecasts scale with various experimental parameters such as lower and upper angular band-limit, relevant for e.g. the upcoming ground-based Simons Observatory experiment and proposed LiteBIRD satellite experiment. We comment on possible contaminants due to secondary cosmological and astrophysical sources.
arXiv comment40 pages, 7 figures
References in corpus (127)
- Efficient Computation of CMB anisotropies in closed FRW models
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
- A Line of Sight Approach to Cosmic Microwave Background Anisotropies
- The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
- An All-Sky Analysis of Polarization in the Microwave Background
- The Effective Field Theory of Inflation
- Weak Gravitational Lensing of the CMB
- Acoustic Signatures in the Primary Microwave Background Bispectrum
- The Pre-Big Bang Scenario in String Cosmology
- A new approach to the evolution of cosmological perturbations on large scales
- A Probe of Primordial Gravity Waves and Vorticity
- The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
- Single field consistency relation for the 3-point function
- Primordial Non-Gaussianities from Inflation Models
- CMB power spectrum parameter degeneracies in the era of precision cosmology
- Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
- BICEP2 / Keck Array x: Constraints on Primordial Gravitational Waves using Planck, WMAP, and New BICEP2/Keck Observations through the 2015 Season
- Gravitational Lensing Effect on Cosmic Microwave Background Polarization
- CMB Lensing Reconstruction on the Full Sky
- Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
- Weak Lensing of the CMB: A Harmonic Approach
- CMB Anisotropies: Total Angular Momentum Method
- Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data
- The Quest for B Modes from Inflationary Gravitational Waves
- Detection of Gravitational Lensing in the Cosmic Microwave Background
- Limits on non-Gaussianities from WMAP data
- Advanced ACTPol Cryogenic Detector Arrays and Readout
- Large Non-Gaussianities in Single Field Inflation
- Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
- SPT-3G: A Next-Generation Cosmic Microwave Background Polarization Experiment on the South Pole Telescope
- Adiabatic Modes in Cosmology
- Uncorrelated Modes of the Nonlinear Power Spectrum
- Damping of Tensor Modes in Cosmology
- CMB polarization from secondary vector and tensor modes
- Violation of non-Gaussianity consistency relation in a single field inflationary model
- Measuring primordial non-Gaussianity in the cosmic microwave background
- Enhanced Non-Gaussianity from Excited Initial States
- The Angular Trispectrum of the CMB
- Gravitational lensing as a contaminant of the gravity wave signal in CMB
- Non-Gaussianity as a Particle Detector
- The Effective Field Theory of Multifield Inflation
- Resonant Non-Gaussianity
- The shape of primordial non-Gaussianity and the CMB bispectrum
- Signatures of Initial State Modifications on Bispectrum Statistics
- The Observed Squeezed Limit of Cosmological Three-Point Functions
- ACTPol: A polarization-sensitive receiver for the Atacama Cosmology Telescope
- The Microwave Background Bispectrum, Paper II: A Probe of the Low Redshift Universe
- Null Propagation of Partially Massless Higher Spins in (A)dS and Cosmological Constant Speculations
- The Cosmic Microwave Background Bispectrum and Inflation
- The shape of the CMB lensing bispectrum
- Tensor Modes from a Primordial Hagedorn Phase of String Cosmology
- Effective theories of single field inflation when heavy fields matter
- Gauge Fields and Inflation: Chiral Gravitational Waves, Fluctuations and the Lyth Bound
- General CMB and Primordial Bispectrum Estimation I: Mode Expansion, Map-Making and Measures of f_NL
- CLASS: The Cosmology Large Angular Scale Surveyor
- An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
- Resilience of the standard predictions for primordial tensor modes
- The Microwave Background Bispectrum, Paper I: Basic Formalism
- Primordial Bispectrum Information from CMB Polarization
- Parameter constraints from cross-correlation of CMB lensing with galaxy clustering
- Information content of weak lensing power spectrum and bispectrum: including the non-Gaussian error covariance matrix
- Productive Interactions: heavy particles and non-Gaussianity
- Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background
- Algorithms for bispectra: forecasting, optimal analysis, and simulation
- Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
- Bouncing Cosmology made simple
- Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
- A New Window on Primordial non-Gaussianity
- Getting Around Cosmic Variance
- New Sources of Gravitational Waves during Inflation
- An inflationary model with small scalar and large tensor nongaussianities
- Optimal Estimation of Non-Gaussianity
- 21-cm Background Anisotropies Can Discern Primordial Non-Gaussianity
- Partially Massless Fields During Inflation
- Large Tensor Non-Gaussianity from Axion-Gauge Fields Dynamics
- Estimators for local non-Gaussianities
- Effective field theory and non-Gaussianity from general inflationary states
- BICEP Array: a multi-frequency degree-scale CMB polarimeter
- SPIDER: Probing the Early Universe with a Suborbital Polarimeter
- Parity violation in the CMB bispectrum by a rolling pseudoscalar
- Primordial non-Gaussianity and the CMB bispectrum
- Primordial Gravity Waves and Weak Lensing
- BICEP3: a 95 GHz refracting telescope for degree-scale CMB polarization
- Cosmic Shear of the Microwave Background: The Curl Diagnostic
- Fast and accurate evaluation of Wigner 3j, 6j, and 9j symbols using prime factorisation and multi-word integer arithmetic
- Light Particles with Spin in Inflation
- Inflationary tensor fossils in large-scale structure
- CMB Delensing Beyond the B Modes
- Anisotropic imprint of long-wavelength tensor perturbations on cosmic structure
- CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities
- Measuring chiral gravitational waves in Chern-Simons gravity with CMB bispectra
- Parity Violation of Gravitons in the CMB Bispectrum
- Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background II: Partial Sky Coverage and Inhomogeneous Noise
- The Odd-Parity CMB Bispectrum
- The squeezed limit of the solid inflation three-point function
- Tensor Squeezed Limits and the Higuchi Bound
- Total Angular Momentum Waves for Scalar, Vector, and Tensor Fields
- Temperature and Polarization CMB Maps from Primordial non-Gaussianities of the Local Type
- B-mode CMB Polarization from Patchy Screening during Reionization
- Non-Gaussianity from Axion-Gauge Fields Interactions during Inflation
- On CMB B-Mode Non-Gaussianity
- Signatures of anisotropic sources in the trispectrum of the cosmic microwave background
- CMB Scale Dependent Non-Gaussianity from Massive Gravity during Inflation
- The bispectrum of polarized galactic foregrounds
- Foreground Biases on Primordial Non-Gaussianity Measurements from the CMB Temperature Bispectrum: Implications for Planck and Beyond
- Clustering Fossils in Solid Inflation
- Probing the inflationary particle content: extra spin-2 field
- General parity-odd CMB bispectrum estimation
- Polarized Sunyaev Zel'dovich tomography
- Detecting higher spin fields through statistical anisotropy in the CMB bispectrum
- The intrinsic B-mode polarisation of the Cosmic Microwave Background
- Double Soft Limits of Cosmological Correlations
- Parameter information from nonlinear cosmological fields
- Vanishing of local non-Gaussianity in canonical single field inflation
- On the Initial State and Consistency Relations
- CMB Tomography: Reconstruction of Adiabatic Primordial Scalar Potential Using Temperature and Polarization Maps
- Non-Gaussianity of secondary anisotropies from ACTPol and Planck
- The bispectra of galactic CMB foregrounds and their impact on primordial non-Gaussianity estimation
- Forecasts on the contamination induced by unresolved point sources in primordial non-Gaussianity beyond Planck
- How to detect gravitational waves through the cross-correlation of the galaxy distribution with the CMB polarization
- Local non-Gaussianity in the Cosmic Microwave Background the Bayesian way
- B polarization of cosmic background radiation from second-order scattering sources
- CMB bounds on tensor-scalar-scalar inflationary correlations
- Wigner-Eckart theorem in cosmology: Bispectra for total-angular-momentum waves
- Primordial gravitational wave phenomenology with polarized Sunyaev Zel'dovich tomography
- Probing Velocity Dependent Self-Interacting Dark Matter with Neutrino Telescopes
Cited by in corpus (14)
- New physics from the polarised light of the cosmic microwave background
- Colliding Ghosts: Constraining Inflation with the Parity-Odd Galaxy Four-Point Function
- Bootstrapping Large Graviton non-Gaussianities
- Tensor non-Gaussianity in chiral scalar-tensor theories of gravity
- Precise and Accurate Cosmology with CMBxLSS Power Spectra and Bispectra
- Cosmic Birefringence: Cross-Spectra and Cross-Bispectra with CMB Anisotropies
- Fundamental limits on constraining primordial non-Gaussianity
- Probing Axions through Tomography of Anisotropic Cosmic Birefringence
- Optimal Estimation of the Binned Mask-Free Power Spectrum, Bispectrum, and Trispectrum on the Full Sky: Scalar Edition
- A New Solution for the Observed Isotropic Cosmic Birefringence Angle and its Implications for the Anisotropic Counterpart through a Boltzmann Approach
- LiteBIRD Science Goals and Forecasts: Primordial Magnetic Fields
- The parity-odd Intrinsic Bispectrum
- Probing CMB Polarization Gaussianity with the Statistics of Unpolarized Points: Non-Gaussianity of Planck Data and Prospects for Future B-Mode Measurements
- Enhancing Bispectrum Estimators for Galaxy Redshift Surveys with Velocities