Second-Order Cosmological Perturbations from Inflation

Abstract

We present the first computation of the cosmological perturbations generated during inflation up to second order in deviations from the homogeneous background solution. Our results, which fully account for the inflaton self-interactions as well as for the second-order fluctuations of the background metric, provide the exact expression for the gauge-invariant curvature perturbation bispectrum produced during inflation in terms of the slow-roll parameters or, alternatively, in terms of the scalar spectral $n_S$ and and the tensor to adiabatic scalar amplitude ratio $r$. The bispectrum represents a specific non-Gaussian signature of fluctuations generated by quantum oscillations during slow-roll inflation. However, our findings indicate that detecting the non-Gaussianity in the cosmic microwave background anisotropies emerging from the second-order calculation will be a challenge for the forthcoming satellite experiments.

21 pages, LaTeX file. Much more detailed and extended revised version including two Appendices

References in corpus (3)

• Measurement of the cosmic microwave background bispectrum on the COBE DMR sky maps
• Non-Gaussian Signatures in the Cosmic Background Radiation from Warm Inflation
• Estimate of the Cosmological Bispectrum from the MAXIMA-1 Cosmic Microwave Background Map

Cited by in corpus (550)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Non-Gaussianity from Inflation: Theory and Observations
• Cosmological Parameters from Observations of Galaxy Clusters
• Planck 2013 results. XXII. Constraints on inflation
• DBI in the Sky
• Inflation Dynamics and Reheating
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• A general proof of the conservation of the curvature perturbation
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Single field consistency relation for the 3-point function
• Primordial Non-Gaussianities from Inflation Models
• Ghost Inflation
• N-flation
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets
• The shape of non-Gaussianities
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Primordial non-gaussianities in single field inflation
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• Limits on non-Gaussianities from WMAP data
• Gauge Fields and Inflation
• Cosmology with the Laser Interferometer Space Antenna
• Large Non-Gaussianities in Single Field Inflation
• Particle physics models of inflation and curvaton scenarios
• Large Nongaussianity in Axion Inflation
• Gauge Field Production in Axion Inflation: Consequences for Monodromy, non-Gaussianity in the CMB, and Gravitational Waves at Interferometers
• New Horizons for Fundamental Physics with LISA
• Primordial non-gaussianities from multiple-field inflation
• Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation
• NANOGrav Hints to Primordial Black Holes as Dark Matter
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• CMB polarization from secondary vector and tensor modes
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Measuring primordial non-Gaussianity in the cosmic microwave background
• Enhanced Non-Gaussianity from Excited Initial States
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• On Non-Gaussianity in the Curvaton Scenario
• Non-Gaussianities in models with a varying inflaton decay rate
• Phenomenology of a Pseudo-Scalar Inflaton: Naturally Large Nongaussianity
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• Second-order Perturbations of the Friedmann World Model
• The Primordial Black Hole Dark Matter - LISA Serendipity
• Running Non-Gaussianities in DBI Inflation
• Gravitational waves from a universe filled with primordial black holes
• Signatures of Initial State Modifications on Bispectrum Statistics
• Testing Primordial Black Holes as Dark Matter through LISA
• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• Dark energy from backreaction
• Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure
• Generating PBHs and small-scale GWs in two-field models of inflation
• Warm inflation model building
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• Evolution of second-order cosmological perturbations
• Unifying inflation with the axion, dark matter, baryogenesis and the seesaw mechanism
• Effect of inhomogeneities on the expansion rate of the Universe
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• The inflationary trispectrum
• Large-scale dark matter simulations
• Inflationary non-Gaussianities in the most general second-order scalar-tensor theories
• General CMB and Primordial Bispectrum Estimation I: Mode Expansion, Map-Making and Measures of f_NL
• Conserved cosmological perturbations
• Observable non-gaussianity from gauge field production in slow roll inflation, and a challenging connection with magnetogenesis
• Non-Gaussianities in Multi-field Inflation
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --
• Non-linear isocurvature perturbations and non-Gaussianities
• Non-gaussianity from the second-order cosmological perturbation
• Structure formation from non-Gaussian initial conditions: multivariate biasing, statistics, and comparison with N-body simulations
• Non-Gaussianity from Preheating
• Limits on f_NL parameters from WMAP 3yr data
• Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
• Trapped Inflation
• Constraining Running Non-Gaussianity
• Oscillations in the stochastic gravitational wave background from sharp features and particle production during inflation
• From inflation to black hole mergers and back again: Gravitational-wave data-driven constraints on inflationary scenarios with a first-principle model of primordial black holes across the QCD epoch
• Observable Spectra of Induced Gravitational Waves from Inflation
• Evolution of non-linear cosmological perturbations
• Conserved non-linear quantities in cosmology
• A numerical study of non-gaussianity in the curvaton scenario
• The Matter Bounce Curvaton Scenario
• Detectability of the effect of Inflationary non-Gaussianity on halo bias
• Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations
• Improved Primordial Non-Gaussianity Constraints from Measurements of Galaxy Clustering and the Integrated Sachs-Wolfe Effect
• The Curvaton as a Pseudo-Nambu-Goldstone Boson
• Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
• Primordial Black Holes for the LIGO Events in the Axion-like Curvaton Model
• CMB Anisotropies at Second Order I
• Nongaussian and nonscale-invariant perturbations from tachyonic preheating in hybrid inflation
• Constraints on primordial non-Gaussianity from 800,000 photometric quasars
• Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
• 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 gravitational waves in the nano-Hertz regime and PTA data -- towards solving the GW inverse problem
• Non-Gaussianity in a Matter Bounce
• Unified treatment of cosmological perturbations from super-horizon to small scales
• Non-gaussianity in fluctuations from warm inflation
• Probing Anisotropies of the Stochastic Gravitational Wave Background with LISA
• Non-linear perturbations in multiple-field inflation
• Halo Clustering with Non-Local Non-Gaussianity
• Non-gaussianity from the trispectrum in general single field inflation
• Primordial black holes as dark matter and gravitational waves from single-field polynomial inflation
• Scale-dependent bias of galaxies and mu-type distortion of the cosmic microwave background spectrum from single-field inflation with a modified initial state
• CMB Anisotropies at Second-Order II: Analytical Approach
• Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
• Gauge-Invariant Temperature Anisotropies and Primordial Non-Gaussianity
• Heavy-Lifting of Gauge Theories By Cosmic Inflation
• Signature of primordial non-Gaussianity of phi^3-type in the mass function and bias of dark matter haloes
• Galaxy number counts to second order and their bispectrum
• Large-scale magnetic fields from density perturbations
• Selected topics in scalar-tensor theories and beyond
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• The bispectrum of redshifted 21-cm fluctuations from the dark ages
• Inflation with multiple sound speeds: a model of multiple DBI type actions and non-Gaussianities
• WMAPping inflationary physics
• Quantitative bispectra from multifield inflation
• Non-Gaussianity from Instant and Tachyonic Preheating
• Estimators for local non-Gaussianities
• Signature of Primordial Non-Gaussianity on Matter Power Spectrum
• The Science of the Einstein Telescope
• Nongaussianity from Tachyonic Preheating in Hybrid Inflation
• On the Gauge Invariance of Cosmological Gravitational Waves
• The CMB Bispectrum
• 1-loop Perturbative Corrections to the Matter and Galaxy Bispectrum with non-Gaussian Initial Conditions
• Evolution of Metric Perturbations in Quintom Bounce model
• The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fields
• Slow-roll parameters in braneworld cosmologies
• The CDM isocurvature perturbation in the curvaton scenario
• On the onset of cosmological backreaction
• Radio Galaxy populations and the multi-tracer technique: pushing the limits on primordial non-Gaussianity
• Second Order Quasi-Normal Mode of the Schwarzschild Black Hole
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Bispectrum
• Hunt for Light Primordial Black Hole Dark Matter with Ultra-High-Frequency Gravitational Waves
• Primordial Non-Gaussianities of General Multiple Field Inflation
• Low-frequency Gravitational Waves from Double-inflection-point Inflation
• Non-Gaussianity from isocurvature perturbations
• The Halo Mass Function from Excursion Set Theory. III. Non-Gaussian Fluctuations
• Gravitational Wave Anisotropies from Primordial Black Holes
• On the Decoherence of Primordial Fluctuations During Inflation
• Large Nongaussianity from Nonlocal Inflation
• Nonlinear perturbations of cosmological scalar fields
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• Tilted Ghost Inflation
• The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations
• Testing Primordial Non-Gaussianity in CMB Anisotropies
• A Note on Calm Excited States of Inflation
• Primordial Non-Gaussianity in the Cosmic Microwave Background
• A New Approach to Probing Primordial Non-Gaussianity
• N-body simulations with generic non-Gaussian initial conditions I: Power Spectrum and halo mass function
• The radiative transfer at second order: a full treatment of the Boltzmann equation with polarization
• Evolution of Second-Order Cosmological Perturbations and Non-Gaussianity
• Simple Bounds from the Perturbative Regime of Inflation
• Very Large Primordial Non-Gaussianity from multi-field: Application to Massless Preheating
• Holographic Non-Gaussianity
• On Features and Nongaussianity from Inflationary Particle Production
• Causal gravitational waves as a probe of free streaming particles and the expansion of the Universe
• CMB lensing and primordial non-Gaussianity
• Lectures on inflation and cosmological perturbations
• CMB 3-point functions generated by non-linearities at recombination
• Non-Gaussianity in Two-Field Inflation
• Non-Gaussian perturbations from multi-field inflation
• An Estimate of the Primordial Non-Gaussianity Parameter f_NL Using the Needlet Bispectrum from WMAP
• The Peccei-Quinn Field as Curvaton
• The Full Second-Order Radiation Transfer Function for Large-Scale CMB Anisotropies
• Cosmology from the Thermal Sunyaev-Zel'dovich Power Spectrum: Primordial non-Gaussianity and Massive Neutrinos
• Inflation with moderately sharp features in the speed of sound: GSR and in-in formalism for power spectrum and bispectrum
• Non-Gaussian perturbations in hybrid inflation
• Probing non-Gaussian Stochastic Gravitational Wave Backgrounds with LISA
• Particle decay during inflation: self-decay of inflaton quantum fluctuations during slow roll
• Non-Gaussianity and the Cosmic Microwave Background Anisotropies
• Diagrammatic approach to non-Gaussianity from inflation
• Observational Constraints on Gauge Field Production in Axion Inflation
• Large Non-Gaussianity Implication for Curvaton Scenario
• Gauge-invariant perturbations at second order: multiple scalar fields on large scales
• The Non-Gaussian Halo Mass Function with fNL, gNL and tauNL
• Gauge invariant averages for the cosmological backreaction
• Non-linear inflationary perturbations
• Enhancement of Non-Gaussianity after Inflation
• Second and higher-order quasi-normal modes in binary black hole mergers
• Parity-violating CMB correlators with non-decaying statistical anisotropy
• The bispectrum of relativistic galaxy number counts
• Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background II: Partial Sky Coverage and Inhomogeneous Noise
• N-body methods for relativistic cosmology
• A General Analysis of Non-Gaussianity from Isocurvature Perturbations
• Consistently violating the non-Gaussian consistency relation
• Theory of non-Gaussianity in warm inflation
• Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum
• N-body simulations with generic non-Gaussian initial conditions II: Halo bias
• The Odd-Parity CMB Bispectrum
• Sachs-Wolfe at second order: the CMB bispectrum on large angular scales
• Moment transport equations for non-Gaussianity
• Impact of Secondary non-Gaussianities on the Search for Primordial Non-Gaussianity with CMB Maps
• Consistency condition for inflation from (broken) conformal symmetry
• Reconstruction of primordial density fields
• Combining clustering and abundances of galaxy clusters to test cosmology and primordial non-Gaussianity
• Primordial non-Gaussianity from two curvaton decays
• Gauge-invariant Formulation of the Second-order Cosmological Perturbations
• Primordial non-Gaussianity from the covariance of galaxy cluster counts
• Primordial non-Gaussianity in the large scale structure of the Universe
• Isocurvature, non-gaussianity and the curvaton model
• The intrinsic bispectrum of the Cosmic Microwave Background [PhD thesis]
• Baryogenesis, Primordial Black Holes and MHz-GHz Gravitational Waves
• Preheating and the non-gaussianity of the curvature perturbation
• Inflation in a scale invariant universe
• Primordial non-Gaussianity without tails -- how to measure fNL with the bulk of the density PDF
• Simulation of non-Gaussian CMB maps
• CMB spectral distortions revisited: a new take on $\mu$ distortions and primordial non-Gaussianities from FIRAS data
• Simple route to non-Gaussianity in inflation
• CMB anisotropies at second order III: bispectrum from products of the first-order perturbations
• Temperature and Polarization CMB Maps from Primordial non-Gaussianities of the Local Type
• The Primordial Black Holes that Disappeared: Connections to Dark Matter and MHz-GHz Gravitational Waves
• Non-Gaussianity in the Cosmic Microwave Background Anisotropies at Recombination in the Squeezed limit
• Detecting Bispectral Acoustic Oscillations from Inflation Using a New Flexible Estimator
• Gauge invariant perturbations around symmetry reduced sectors of general relativity: applications to cosmology
• Predictions for Nongaussianity from Nonlocal Inflation
• Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence
• de Sitter limit of inflation and nonlinear perturbation theory
• Resonant Trispectrum and a Dozen More Primordial N-point functions
• On the conservation of second-order cosmological perturbations in a scalar field dominated universe
• Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter
• Non-Gaussianity and the CMB Bispectrum: confusion between Primordial and Lensing-Rees Sciama contribution?
• Constraining primordial non-Gaussianity using two galaxy surveys and CMB lensing
• Large and strong scale dependent bispectrum in single field inflation from a sharp feature in the mass
• Prospects for constraining the shape of non-Gaussianity with the scale-dependent bias
• The Four-point Correlator in Multifield Inflation, the Operator Product Expansion and the Symmetries of de Sitter
• Galaxy-CMB and galaxy-galaxy lensing on large scales: sensitivity to primordial non-Gaussianity
• Primordial Non-Gaussianity $f_{\mathrm{NL}}$ and Anisotropies in Scalar-Induced Gravitational Waves
• General Single Field Inflation with Large Positive Non-Gaussianity
• Influence of Super-Horizon Scales on Cosmological Observables Generated during Inflation
• Unveiling the Dynamics of the Universe
• Probing the scale dependence of non-Gaussianity with spectral distortions of the cosmic microwave background
• Primordial black hole dark matter from inflation: the reverse engineering approach
• Gravitational waves generated by second order effects during inflation
• Inflationary trispectrum from graviton exchange
• Landscape tomography through primordial non-Gaussianity
• Large Primordial Trispectra in General Single Field Inflation
• Curbing PBHs with PTAs
• Energy-Momentum Tensor of Cosmological Fluctuations during Inflation
• The Effects of Gravitational Back-Reaction on Cosmological Perturbations
• Parity violation in the CMB trispectrum from the scalar sector
• Non-Gaussianity and large-scale structure in a two-field inflationary model
• Constraints on primordial black holes from LIGO-Virgo-KAGRA O3 events
• Non-Gaussianity Consistency Relation for Multi-field Inflation
• Primordial non-Gaussianity from the Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey I: Catalogue Preparation and Systematic Mitigation
• New Optimised Estimators for the Primordial Trispectrum
• Testing statistics of the CMB B-mode polarization toward unambiguously establishing quantum fluctuation of vacuum
• Anisotropic Trispectrum of Curvature Perturbations Induced by Primordial Non-Abelian Vector Fields
• Cosmological UV/IR Divergences and de-Sitter Spacetime
• Resonant features in the stochastic gravitational wave background
• Scale independent $R^2$ inflation
• Multiple-field inflation and the CMB
• Scale Dependent Local Non-Gaussianity from Loops
• The Effective Theory of Inflation in the Standard Model of the Universe and the CMB+LSS data analysis
• Non-Gaussianity and Secondary Gravitational Waves from Primordial Black Holes Production in $\alpha$-attractor Inflation
• Primordial non-Gaussianities after Planck 2015: an introductory review
• Translational Invariance and the Anisotropy of the Cosmic Microwave Background
• Tensor Non-Gaussianity Search: Current Status and Future Prospects
• Local stochastic non-Gaussianity and N-body simulations
• Strongly Scale-dependent Non-Gaussianity
• Nongaussianity from Particle Production During Inflation
• Anisotropic bispectrum of curvature perturbations from primordial non-Abelian vector fields
• Backreaction and Stochastic Effects in Single Field Inflation
• Beware of commonly used approximations I: errors in forecasts
• Scale-Dependent Non-Gaussianity as a Generalization of the Local Model
• Gauge-invariant quantum gravitational corrections to correlation functions
• Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models
• Higher order contributions to the primordial non-gaussianity
• Non-Gaussianity from resonant curvaton decay
• A not so short note on the Klein-Gordon equation at second order
• Primordial non-Gaussianity and Dark Energy constraints from Cluster Surveys
• Excursion Sets and Non-Gaussian Void Statistics
• $\alpha$-vacuum and inflationary bispectrum
• Gravitational Wave Background and Non-Gaussianity as a Probe of the Curvaton Scenario
• The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling
• Gravitational Waves and Primordial Black Holes from Supersymmetric Hybrid Inflation
• Signatures of Primordial non-Gaussianities in the Matter Power-Spectrum and Bispectrum: the Time-RG Approach
• Non-Linear N-Parameter Spacetime Perturbations: Gauge Transformations
• A Scaling Index Analysis of the WMAP three year data: Signatures of non-Gaussianities and Asymmetries in the CMB
• Cosmological perturbation theory and quantum gravity
• Primordial non-Gaussianity: local curvature method and statistical significance of constraints on f_NL from WMAP data
• Foreground Biases on Primordial Non-Gaussianity Measurements from the CMB Temperature Bispectrum: Implications for Planck and Beyond
• Limits on Second-Order Non-Gaussianity from Minkowski Functionals of WMAP Data
• Primordial non-Gaussianity from the 21 cm Power Spectrum during the Epoch of Reionization
• A Consistency Relation for Power Law Inflation in DBI models
• Measuring primordial non-Gaussianity with weak-lensing surveys
• A model-independent test for scale-dependent non-Gaussianities in the CMB
• Path Integral for Inflationary Perturbations
• Primordial magnetic fields from second-order cosmological perturbations: Tight coupling approximation
• Magnification effect on the detection of primordial non-Gaussianity from photometric surveys
• General parity-odd CMB bispectrum estimation
• Einstein's signature in cosmological large-scale structure
• Multi-Stream Inflation
• Complete analysis of the background and anisotropies of scalar-induced gravitational waves: primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ considered
• Secondary GWs and PBHs in string inflation: formation and detectability
• On Non-Gaussianities in Multi-Field Inflation (N fields): Bi- and Tri-spectra beyond Slow-Roll
• Non-Gaussianity from Isocurvature Perturbations : Analysis of Trispectrum
• Constraining primordial non-Gaussianity from DESI quasar targets and Planck CMB lensing
• Non-canonical generalizations of slow-roll inflation models
• Non-Gaussian corrections to the probability distribution of the curvature perturbation from inflation
• Contributions to the Dark Matter 3-Pt Function from the Radiation Era
• Reconstructing the Inflationary Landscape with Cosmological Data
• Inflationary NonGaussianity from Thermal Fluctuations
• First and Second Order Perturbations of Hypersurfaces
• Frame independent cosmological perturbations
• Ultra-Slow-Roll Inflation on the Lattice I: Backreaction and Nonlinear Effects
• The integrated bispectrum as a test of CMB non-Gaussianity: detection power and limits on f_NL with WMAP data
• No time to derive: unraveling total time derivatives in in-in perturbation theory
• On the non-Gaussianity from Recombination
• Feeding your Inflaton: Non-Gaussian Signatures of Interaction Structure
• Characterisation of the non-Gaussianity of radio and IR point-sources at CMB frequencies
• Numerical calculation of second order perturbations
• Highly asymmetric probability distribution from a finite-width upward step during inflation
• Reconstruction of a Nonminimal Coupling Theory with Scale-invariant Power Spectrum
• Second Order Gravitational Effects on CMB Temperature Anisotropy in Lambda dominated flat universes
• Non-Gaussianity in braneworld and tachyon inflation
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• One-loop infrared rescattering by enhanced scalar fluctuations during inflation
• A new diagrammatic representation for correlation functions in the in-in formalism
• Exploring KSZ velocity reconstruction with $N$-body simulations and the halo model
• Perturbations in stochastic inflation
• Cosmological constraints from line intensity mapping with interlopers
• Cosmological constraints on string scale and coupling arising from tachyonic instability
• Non-gaussianity in the strong regime of warm inflation
• Signatures of Primordial Non-Gaussianity in the Large-Scale Structure of the Universe
• On second-order superhorizon perturbations in multifield inflationary models
• Fundamental limits on constraining primordial non-Gaussianity
• Constraints on anisotropic primordial non-Gaussianity from intrinsic alignments of SDSS-III BOSS galaxies
• Warm DBI inflation with constant sound speed
• Perturbations of Matter Fields in the Second-order Gauge-invariant Cosmological Perturbation Theory
• On the linear term correction for needlets/wavelets non-Gaussianity estimators
• Non-Gaussian Signatures in the five-year WMAP data as identified with isotropic scaling indices
• Gravitational waves from a curvaton model with blue spectrum
• Second Order Gauge-Invariant Perturbations during Inflation
• Deformation of the gravitational wave spectrum by density perturbations
• Precision Early Universe Cosmology from Stochastic Gravitational Waves
• Minimizing gravitational lensing contributions to the primordial bispectrum covariance
• Lensing constraints on ultradense dark matter halos
• Non-Gaussianity of Large-Scale Cosmic Microwave Background Anisotropies beyond Perturbation Theory
• Multi-disformal invariance of nonlinear primordial perturbations
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics II: Quartic interactions and consistency relations
• The structure of correlation functions in single field inflation
• A Measurement of Primordial Non-Gaussianity Using WMAP 5-Year Temperature Skewness Power Spectrum
• Secondary non-Gaussianity and Cross-Correlation Analysis
• Curvature Perturbations from a Massive Vector Curvaton
• Isocurvature Perturbations and Non-Gaussianity of Gravitationally Produced Nonthermal Dark Matter
• New Approaches to Probing Minkowski Functionals
• Higher order relativistic galaxy number counts: dominating terms
• Relativistic effects and primordial non-Gaussianity in the galaxy bias
• Pinning down the primordial black hole formation mechanism with gamma-rays and gravitational waves
• Primordial Non-Gaussianity Estimation using 21 cm Tomography from the Epoch of Reionization
• Non-linear general relativistic effects in the observed redshift
• Physics of the cosmic microwave background anisotropy
• The Cold Spot as a Large Void: Rees-Sciama effect on CMB Power Spectrum and Bispectrum
• New fitting formula for cosmic non-linear density distribution
• CMB Tomography: Reconstruction of Adiabatic Primordial Scalar Potential Using Temperature and Polarization Maps
• Searching for non-Gaussianity in the WMAP data
• Scalar perturbations from inflation in the presence of gauge fields
• Tachyon inflation with steep potentials
• Non-Gaussianity from Self-Ordering Scalar Fields
• Tracking the origin of black holes with the stochastic gravitational wave background popcorn signal
• Weak Lensing of the Primary CMB Bispectrum
• Non-Gaussianities from the Standard Model Higgs
• Non-Gaussianity from Axion Monodromy Inflation
• Scale dependent non-Gaussianities in the CMB data identified with Minkowski Functionals and Scaling Indices
• Double peaks of gravitational wave spectrum induced from inflection point inflation
• Primordial Black Holes and Gravitational Waves in Multi-Axion-Chern-Simons Inflation
• Impact of Uncertainties in the Cosmological Parameters on the Measurement of Primordial non-Gaussianity
• Probing the initial state of inflation: analytical structure of cosmological correlators
• Non-gaussianity in the foreground-reduced CMB maps
• Constraints on Primordial non-Gaussianity from Future HI Intensity Mapping Experiments
• Vector and tensor contributions to the curvature perturbation at second order
• The bispectra of galactic CMB foregrounds and their impact on primordial non-Gaussianity estimation
• A Back-reaction Induced Lower Bound on the Tensor-to-Scalar Ratio
• Trispectrum estimation in various models of equilateral type non-Gaussianity
• Black hole formation and growth with non-Gaussian primordial density perturbations
• The Cold Spot as a Large Void: Lensing Effect on CMB Two and Three Point Correlation Functions
• Local non-Gaussianity in the Cosmic Microwave Background the Bayesian way
• Cosmological density fluctuations and gravity waves: A covariant approach to gauge-invariant non-linear perturbation theory
• Angular dependence of primordial trispectra and CMB spectral distortions
• Primordial non-Gaussian signatures in CMB polarization
• Anisotropies in Scalar-Induced Gravitational-Wave Background from Inflaton-Curvaton Mixed Scenario with Sound Speed Resonance
• Non-Gaussianity in WMAP Data Due to the Correlation of CMB Lensing Potential with Secondary Anisotropies
• Expectation of primordial gravity waves generated during inflation
• Initial conditions for cold dark matter particles and General Relativity
• Testing supersymmetric Higgs inflation with non-Gaussianity
• Naturalness in Cosmological Initial Conditions
• The scale-dependent signature of primordial non-Gaussianity in the large-scale structure of cosmic reionization
• Precision cosmology with primordial GW backgrounds in presence of astrophysical foregrounds
• Non-Gaussian halo abundances in the excursion set approach with correlated steps
• Estimating the bispectrum of the Very Small Array data
• Non-Gaussian Halo Mass Function and Non-Spherical Halo Collapse: Theory vs. Simulations
• Tilt and Running of Cosmological Observables in Generalized Single-Field Inflation
• Testing models of inflation with CMB non-gaussianity
• Induced Gravitational Waves from Multi-Sound Speed Resonances during Cosmological Inflation
• CMB hemispherical asymmetry from non-linear isocurvature perturbations
• Rotating a Curvaton Brane in a Warped Throat
• Tachyon Mediated Non-Gaussianity
• The Probability Distribution for Non-Gaussianity Estimators
• Observational constraints on assisted k-inflation
• Origin of structure: Statistical characterization of the primordial density fluctuations and the collapse of the wave function
• Non-Gaussianity as a signature of thermal initial condition of inflation
• Universality in generalized models of inflation
• Second-order cosmological perturbations. I. Produced by scalar-scalar coupling in synchronous gauge
• δN versus covariant perturbative approach to non-Gaussianity outside the horizon in multifield inflation
• Primordial Non-Gaussianity from a Joint Analysis of Cosmic Microwave Background Temperature and Polarization
• Testing Multi-Field Inflation with Galaxy Bias
• Generic inference of inflation models by non-Gaussianity and primordial power spectrum reconstruction
• Mimetic Inflation
• Holographic non-Gaussianities in general single-field inflation
• A rule of thumb for cosmological backreaction
• Primordial gravitational waves and the collapse of the wave function
• Construction of gauge-invariant variables of linear metric perturbations on an arbitrary background spacetime
• Primordial Black Holes and Scalar-induced Gravitational Waves in Radiative Hybrid Inflation
• Regular second order perturbations of binary black holes: The extreme mass ratio regime
• Gravitational-wave signatures from reheating
• Scale-dependent non-Gaussianities in the WMAP data as identified by using surrogates and scaling indices
• Primordial black holes: constraints, potential evidence and prospects
• Second-order cosmological perturbations. IV. Produced by scalar-tensor and tensor-tensor couplings during the radiation dominated stage
• Gravitational Waves from Peaks
• Second-order cosmological perturbations. II. Produced by scalar-tensor and tensor-tensor couplings
• Primordial power spectrum features in phenomenological descriptions of inflation
• CMB bounds on tensor-scalar-scalar inflationary correlations
• The probability distribution for non-Gaussianity estimators constructed from the CMB trispectrum
• Complete Hamiltonian analysis of cosmological perturbations at all orders
• The Extreme Tail of the Non-Gaussian Mass Function
• G-inflation: From the intermediate, logamediate and exponential models
• Data analysis methods for the cosmic microwave background
• Non-commutative Geometry Modified Non-Gaussianities of Cosmological Perturbation
• Foreground influence on primordial non-Gaussianity estimates: needlet analysis of WMAP 5-year data
• Trispectrum versus Bispectrum in Single-Field Inflation
• Semiclassical Self Consistent Treatment of the Emergence of Seeds of Cosmic Structure. The second order construction
• Primordial Non-Gaussianity in Supersolid Inflation
• Measuring the Energy Scale of Inflation with Large Scale Structures
• Black holes and gravitational waves from phase transitions in realistic models
• How Gaussian can the Sky be? Primordial Non-Gaussianity from Quantum Information
• Inflation from Multiple Pseudo-Scalar Fields: PBH Dark Matter and Gravitational Waves
• Non-Gaussianity in KKLMMT model
• Quadra-Spectrum and Quint-Spectrum from Inflation and Curvaton Models
• Application of cross correlations between CMB and large scale structure to constraints on the primordial non-Gaussianity
• Angular bispectrum and trispectrum of scalar-induced gravitational waves: all contributions from primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$
• Nonlinear superhorizon perturbations of non-canonical scalar field
• CMB B-mode auto-bispectrum produced by primordial gravitational waves
• Thermal fluctuations in viscous cosmology
• Non-Gaussian CMB and LSS statistics beyond polyspectra
• Wigner-Eckart theorem in cosmology: Bispectra for total-angular-momentum waves
• Constraints on brane inflation after Planck 2015: Impacts of the latest local measurement of the Hubble constant
• Trans-Planckian enhancements of the primordial non-Gaussianities
• CMB temperature anisotropies from third order gravitational perturbations
• Non-Gaussian features from the inverse volume corrections in loop quantum cosmology
• Nonlinear superhorizon curvature perturbation in generic single-field inflation
• Inflaton or Curvaton? Constraints on Bimodal Primordial Spectra from Mixed Perturbations
• Non-Gaussian Shape Recognition
• Tackling non-linearities with the effective field theory of dark energy and modified gravity
• Adiabatic versus Isocurvature Non--Gaussianity
• Impact of the 1/f noise and the asymmetric beam on non-Gaussianity searches with Planck
• Nonlinear Evolutions and Non-Gaussianity in Generalized Gravity
• Cosmological Solution from D-brane motion in NS5-Branes background
• Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter
• Robust constraints on tensor perturbations from cosmological data: a comparative analysis from Bayesian and frequentist perspectives
• Multi-variate joint PDF for non-Gaussianities: exact formulation and generic approximations
• Thermal non-Gaussianity in holographic cosmology
• Probing local non-Gaussianities within a Bayesian framework
• Ultra-Slow-Roll Inflation on the Lattice II: Nonperturbative Curvature Perturbation
• Preheating and Reheating Constraints in Supersymmetric Braneworld Inflation
• Effect of component separation on the temperature distribution of the CMB
• Non-Gaussian Signatures from the Postinflationary Early Universe
• Gravitational Waves From No-Scale Supergravity
• Two-field inflation with non-minimal coupling
• Introduction to the number of $e$-folds in slow-roll inflation
• Second-order cosmological perturbations. III. Produced by scalar-scalar coupling during radiation-dominated stage
• The galaxy bias at second order in general relativity with Non-Gaussian initial conditions
• Supergravity, $\alpha$-attractors and primordial non-Gaussianity
• The gravitational and lensing-ISW bispectrum of 21cm radiation
• Fully non-linear equivalence of delta N and covariant formalisms
• Curvature Perturbations from First-Order Phase Transitions: Implications to Black Holes and Gravitational Waves
• Graviton backreaction on the local cosmological expansion in slow-roll inflation
• A general proof of the equivalence between the δN and covariant formalisms
• Local Scale-Dependent Non-Gaussian Curvature Perturbations at Cubic Order
• Gravity and non-gravity mediated couplings in multiple-field inflation
• Statistics of the excursion sets in models with local primordial non-Gaussianity
• Statistical nature of non-Gaussianity from cubic order primordial perturbations: CMB map simulations and genus statistic
• Primordial non-Gaussianity as a probe of seesaw and leptogenesis
• The Origin of the Large-Scale Structure in the Universe: Theoretical and Statistical Aspects
• Different approaches to the second order Klein-Gordon equation
• A confirmation of agreement of different approaches for scalar gauge-invariant metric perturbations during inflation
• Second-order Gauge-invariant Cosmological Perturbation Theory: Current Status updated in 2019
• Search for non-Gaussianities in the WMAP data with the Scaling Index Method
• An Analytical Study of the Primordial Gravitational-Wave-Induced Contribution to the Large-Scale Structure of the Universe
• Testing primordial non-Gaussianities on galactic scales at high redshift
• Impact of Instrumental Systematics on the CMB Bispectrum
• Estimation of Full Sky Power Spectrum between Intermediate to Large Angular Scales from Partial Sky CMB Anisotropies using Artificial Neural Network
• Gradient expansion of superhorizon perturbations in G-inflation
• Mild quasi-local non-Gaussianity as a signature of modified gravity during inflation
• The Berry phase in inflationary cosmology
• Thermal non-Gaussianity in Near-Milne universe
• ConKer: evaluating isotropic correlations of arbitrary order
• Using CMB polarization to constrain the anomalous nature of the Cold Spot with an incomplete sky-coverage
• Rolling in the Modulated Reheating Scenario
• Scalar-Induced Gravitational Waves in Modified Gravity
• A simplified structure for the second order cosmological perturbation equations
• Cosmological Perturbations: Vorticity, Isocurvature and Magnetic Fields
• Possible Impact of non-Gaussianities on cosmological constraints in neutrino physics
• $\Delta N$ Formalism and Conserved Currents in Cosmology
• Scalar-Induced Gravitational Waves in a $\Lambda$CDM Cosmology
• The Physical Content of Long Tensor Modes in Cosmology
• High-order 2MASS galaxy correlation functions: Probing the primordial density field and the linearity of galaxy bias
• Second-order cosmological perturbations produced by scalar-scalar coupling during inflation stage
• On non-linear CMB temperature anisotropy from gravitational perturbations
• Principal Components of CMB non-Gaussianity
• Gauge-dependence of Scalar Induced Gravitational Waves
• Breaking parity: the case of the trispectrum from chiral scalar-tensor theories of gravity
• Dynamo effects in magnetized ideal-plasma cosmologies
• Non-Gaussian assembly bias from a semi-analytic galaxy formation model
• Structure formation and quasi-spherical collapse from initial curvature perturbations with numerical relativity simulations
• Primordial Non-Gaussianity from LAMOST Surveys
• Supersymmetric Dirac-Born-Infeld Axionic Inflation and Non-Gaussianity
• On the Hamilton-Jacobi approach to inflation beyond slow roll
• Primordial Gravitational Waves in Generalized Palatini Gravity
• A study of non-linear Langevin dynamics under non-Gaussian noise with quartic cumulant
• Optimal estimator for the amplitude of the bispectrum from IR sources
• Dip and non-linearity in the curvature perturbation from inflation with a transient non-slow-roll stage
• Connections between Minkowski and Cosmological Correlation Functions
• The general solution at large scale for second order perturbations in a scalar field dominated universe
• The Classical and Quantum Inflaton: the Precise Inflationary Potential and Quantum Inflaton Decay after WMAP
• Primordial gravitational waves and curvature perturbations induced energy density perturbation
• Breaking the Single Clock Symmetry: measuring single-field inflation non-Gaussian features
• The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum
• 'Constraint consistency' at all orders in Cosmological perturbation theory
• 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
• A Consistency Relation for the CMB B-mode Polarization in the Squeezed Limit
• Scalar Cosmological Perturbations
• CMB spectroscopy at third-order in cosmological perturbations
• Consistency Relation and Non-Gaussianity in a Galileon Inflation
• Sound Speed Resonance of Gravitational Waves in Gauss-Bonnet-coupled inflation
• Constraining matter-bounce scenario from scalar-induced vector perturbations
• Modelling non-Gaussianity from foreground contaminants
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity
• Primordial gravitational waves from excited states
• Recent results and perspectives on cosmology and fundamental physics from microwave surveys
• Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves
• Enhancing Bispectrum Estimators for Galaxy Redshift Surveys with Velocities
• Theoretical and observational aspects of cosmological inflation
• A revisited Correction to the Halo Mass Function for local-type Primordial non-Gaussianity
• Nonlinear phenomena in general relativity
• Solid matter with zero shear modulus in flat universe
• New leading contributions to non-gaussianity in single field inflation