Tensor Non-Gaussianity Search: Current Status and Future Prospects

Abstract

Primordial gravitational waves (GWs) are said to be a smoking gun in cosmic inflation, while, even if they are detected, the specification of their origins are still required for establishing a true inflationary model. Testing non-Gaussianity in the tensor-mode anisotropies of the cosmic microwave background (CMB) is one of the most powerful ways to identify sources of GW signals. In this paper, we review studies searching for tensor non-Gaussianities employing the CMB bispectrum and forecast future developments. No significant signal has so far been found from temperature and E-mode polarization data, while orders-of-magnitude improvements in detection limits can be achieved by adding the information of B-mode polarization. There is already an established methodology for bispectrum estimation, which encourages a follow-up investigation with next-decadal CMB B-mode surveys.

19 pages, 2 figures, 1 table; invited review for special issue "Status and Prospects of Cosmic Microwave Background Analysis" on Frontiers in Astronomy and Space Sciences

References in corpus (61)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Origin of Galactic and Extragalactic Magnetic Fields
• Second-Order Cosmological Perturbations from Inflation
• Cosmological Signature of New Parity-Violating Interactions
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• On graviton non-Gaussianities during inflation
• Weak Lensing of the CMB: A Harmonic Approach
• Mission design of LiteBIRD
• On the Origin of Cosmic Magnetic Fields
• The Quest for B Modes from Inflationary Gravitational Waves
• Measuring primordial non-Gaussianity in the cosmic microwave background
• Phenomenology of a Pseudo-Scalar Inflaton: Naturally Large Nongaussianity
• The shape of the CMB lensing bispectrum
• Scale-dependent gravitational waves from a rolling axion
• Planck 2015 results. XIX. Constraints on primordial magnetic fields
• Primordial Gravitational Waves from Axion-Gauge Fields Dynamics
• Birefringent Gravitational Waves and the Consistency Check of Inflation
• General CMB and Primordial Bispectrum Estimation I: Mode Expansion, Map-Making and Measures of f_NL
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity
• Massive Neutrinos and Magnetic Fields in the Early Universe
• Exploring Cosmic Origins with CORE: Survey requirements and mission design
• Clustering Fossils from the Early Universe
• Parity Violation in Graviton Non-gaussianity
• Axion Inflation with an SU(2) Gauge Field: Detectable Chiral Gravity Waves
• Impact of post-Born lensing on the CMB
• Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
• An inflationary model with small scalar and large tensor nongaussianities
• Large Tensor Non-Gaussianity from Axion-Gauge Fields Dynamics
• Primordial non-Gaussianities of gravitational waves in the most general single-field inflation model
• The CMB Bispectrum
• Parity violation in the CMB bispectrum by a rolling pseudoscalar
• Non-Gaussianity from Cosmic Magnetic Fields
• Probing non-Gaussian Stochastic Gravitational Wave Backgrounds with LISA
• CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities
• Tensor Non-Gaussianity from Axion-Gauge-Fields Dynamics : Parameter Search
• Parity Violation of Gravitons in the CMB Bispectrum
• Parity violation of primordial magnetic fields in the CMB bispectrum
• Measuring chiral gravitational waves in Chern-Simons gravity with CMB bispectra
• Optimal limits on primordial magnetic fields from CMB temperature bispectrum of passive modes
• CMB-lensing beyond the Born approximation
• Analytic formulae of the CMB bispectra generated from non-Gaussianity in the tensor and vector perturbations
• On CMB B-Mode Non-Gaussianity
• Observed parity-odd CMB temperature bispectrum
• Testing statistics of the CMB B-mode polarization toward unambiguously establishing quantum fluctuation of vacuum
• Cosmic microwave background bispectrum of tensor passive modes induced from primordial magnetic fields
• The bispectrum of polarized galactic foregrounds
• CMB Scale Dependent Non-Gaussianity from Massive Gravity during Inflation
• General parity-odd CMB bispectrum estimation
• Cosmological Shapes of Higher-Spin Gravity
• First observational constraints on tensor non-Gaussianity sourced by primordial magnetic fields from cosmic microwave background
• Polarization bispectrum for measuring primordial magnetic fields
• Tensor non-Gaussianities from Non-minimal Coupling to the Inflaton
• Efficient optimal non-Gaussian CMB estimators with polarisation
• The bispectra of galactic CMB foregrounds and their impact on primordial non-Gaussianity estimation
• Primordial non-Gaussianities of gravitational waves beyond Horndeski
• CMB bounds on tensor-scalar-scalar inflationary correlations
• CMB B-mode auto-bispectrum produced by primordial gravitational waves
• Non-Gaussian Features of Primordial Gravitational Waves
• B-Mode auto-bispectrum due to matter bounce
• General modal estimation for cross-bispectra
• Searching for Bispectrum of Stochastic Gravitational Waves with Pulsar Timing Arrays

Cited by in corpus (32)

• New physics from the polarised light of the cosmic microwave background
• Large Spin-2 Signals at the Cosmological Collider
• Trans-Planckian censorship, inflation and excited initial states for perturbations
• Quantifying the Redshift Space Distortion of the Bispectrum I: Primordial Non-Gaussianity
• Tensor non-Gaussianity in chiral scalar-tensor theories of gravity
• Testing the Early Universe with Anisotropies of the Gravitational Wave Background
• Cross-correlations as a Diagnostic Tool for Primordial Gravitational Waves
• Fundamental limits on constraining primordial non-Gaussianity
• CFTs Blueshift Tensor Fluctuations Universally
• Quantifying the Redshift Space Distortion of the Bispectrum II: Induced Non-Gaussianity at Second Order Perturbation
• New constraints on axion-gauge field dynamics during inflation from $Planck$ and BICEP/Keck data sets
• Probing the inflationary background of gravitational waves from large to small scales
• Small-scale Tests of Inflation
• Gravitational wave trispectrum in the axion-SU(2) model
• Gravitational Wave from Axion-SU(2) Gauge Fields: Effective Field Theory for Kinetically Driven Inflation
• A fast estimator for quantifying the shape dependence of the 3D bispectrum
• Primordial Non-Gaussianity in Supersolid Inflation
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• LiteBIRD Science Goals and Forecasts: Primordial Magnetic Fields
• Quantifying the redshift space distortion of the bispectrum III : Detection prospects of the multipole moments
• Primordial Tensor Non-Gaussianity from Massive Gravity
• Parity violation in primordial tensor non-Gaussianities from matter bounce cosmology
• Constraining graviton non-Gaussianity through the CMB bispectra
• Generic 3-point Statistics with Tensor Modes in Light of Swampland and TCC
• The primordial information content of Rayleigh Anisotropies
• Enhanced tensor non-Gaussianities in presence of a source
• Statistically-Anisotropic Tensor Bispectrum from Inflation
• Synthetic Gravitational Waves from a Rolling Axion Monodromy
• Brisk estimator for the angular multipoles of the redshift space bispectrum
• The size and shape dependence of the SDSS galaxy bispectrum
• Spinning Guest Fields during Inflation: Leftover Signatures
• Chern-Simons gravitational term coupled to a spectator field