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Inflation: Theory and Observations
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Inflation: Theory and Observations
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Cosmic inflation provides a window to the highest energy densities accessible in nature, far beyond those achievable in any realistic terrestrial experiment. Theoretical insights into the inflationary era and its observational probes may therefore shed unique light on the physical laws underlying our universe. This white paper describes our current theoretical understanding of the inflationary era, with a focus on the statistical properties of primordial fluctuations. In particular, we survey observational targets for three important signatures of inflation: primordial gravitational waves, primordial non-Gaussianity and primordial features. With the requisite advancements in analysis techniques, the tremendous increase in the raw sensitivities of upcoming and planned surveys will translate to leaps in our understanding of the inflationary paradigm and could open new frontiers for cosmology and particle physics. The combination of future theoretical and observational developments therefore offer the potential for a dramatic discovery about the nature of cosmic acceleration in the very early universe and physics on the smallest scales.
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Cited by 40 Pith papers
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Massive Cosmological Correlators from Flat Space: a Laplace-Space Approach
A Laplace-space representation converts massive single-exchange cosmological correlators in de Sitter into a rapidly convergent series derived from flat-space integrals.
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Pushing the Primordial Frontier: Exact Linear Solutions in Multifield Inflation
Closed-form mode functions and power spectrum for a two-field inflation model with arbitrary coupling λ and isocurvature mass μ, including the previously difficult strong-coupling regime.
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Every Wrinkle Carries A Memory: An Integro-differential Bootstrap for Features in Cosmological Correlators
Derives integro-differential boundary equations from bulk locality for scale-breaking cosmological correlators with oscillating heavy-field masses and solves them analytically and numerically to reveal enhanced collid...
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Primordial Physics in the Nonlinear Universe: Revealing the oscillating halo bias from cosmological collider models
A binning-based IC method yields the first N-body measurements of oscillating halo bias from cosmological collider bispectra, with mass- and assembly-dependent phases fit by peak-background-split theory.
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Dissecting the Scalar Cosmological Collider with the Cosmic Microwave Background
A joint Bayesian fit of the multi-field inflationary Lagrangian to Planck bispectrum data finds no cosmological collider signal (max Δχ²=5.3) and shows weak-mixing template searches are invalid except at the smallest masses.
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Pushing the Primordial Frontier: Cosmological Collider Signatures at Strong Mixing
Exact analytic squeezed-limit bispectra for strongly mixed two-field inflation, nonperturbative in the curvature-isocurvature mixing λ.
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Cosmological Correlators in KLF and the Double-Exchange
The double-exchange cosmological correlator is computed in KLF space, yielding a double series over hypergeometric functions that improves on prior four-layer representations.
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Laplace Space for Cosmological Correlators
Laplace transform converts cosmological correlator diagrams into flat-space integrals against kernels, yielding a closed-form rapidly convergent series for the massive single-exchange case valid across the full kinema...
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Pushing the Primordial Frontier: Exact Linear Solutions in Multifield Inflation
Exact analytic solutions for coupled linear perturbations in two-field inflation provide a closed-form primordial power spectrum that interpolates weak, strong, light, and heavy field regimes.
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On-Shell Bootstrap of Loop Inflation Correlators with Spectral Dispersion
Introduces spectral dispersion bootstrap combining dS spectral decomposition and dispersion relations to compute 3- and 4-point loop correlators with massive scalar and vector exchanges.
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Informative Priors on Primordial Non-Gaussianity Bias $b_{\phi}$ From Galaxy Formation
Conditioning CAMELS-SAM simulations on the stellar mass function or stellar-to-halo mass relation reduces uncertainty in b_phi by 88-97% for DESI emission line galaxy samples while remaining consistent across galaxy f...
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Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations
A parity-split IBP system for n-propagator families in de Sitter space is identified, along with a conjecture that dlog-form differential equations extend to dS integrands with Hankel functions, verified for the one-l...
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Scale-Dependent Loop Corrections to the Inflationary Power Spectrum
One-loop gravitational corrections in inflationary models with scale-dependent features are renormalizable and vanish on large and small scales, preserving perturbativity of CMB-fit feature models.
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Primordial Physics in the Nonlinear Universe: Towards particle constraints using the Weak lensing, Thermal SZ, and X-ray fields
Second and third moments of joint WL+tSZ+X-ray fields yield a factor-of-two gain in f_NL constraints relative to lensing alone and break baryon/foreground degeneracies.
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Probing the fate of large primordial perturbations with exoplanets
Observed ultra-wide exoplanets already constrain the amplitude and scale of primordial power-spectrum peaks that produce ultra-compact minihalos, with misalignment signatures as a future probe.
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Cosmological Collider Signatures from Right-Handed Neutrino Loop
Chemical potential from a unique dim-5 inflaton–right-handed-neutrino operator softens heavy-mass Boltzmann suppression and amplifies helicity-dependent oscillatory non-Gaussianity from the fermion triangle loop.
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Hermes - Towards an Optimal High-Performance Algorithm for Cosmic Statistics of Large Data Sets
Hermes/PyHermes reconstructs catalogues in a scaling-function basis and unifies CIC, 2PCF, 3PCF, marked, and operator-based cosmic statistics as reusable window operations with FFT/MPI/GPU scaling.
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Primordial Physics in the Nonlinear Universe: Towards particle constraints using the Weak lensing, Thermal SZ, and X-ray fields
Second and third moments of joint weak-lensing, tSZ, and X-ray maps improve primordial non-Gaussianity constraints by a factor of ~2 relative to lensing alone while breaking baryon and foreground degeneracies.
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Inverse-k Primordial Oscillations from a Symbolic Regression Search
Symbolic regression on Planck and Planck+ACT+SPT independently selects an inverse-k primordial oscillation cos(B/k)≈cos(4/k) that weakly outperforms linear and log templates.
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The Coherence Principle: A Falsifiable Prior for Model Selection from the Grammar of Theories
The Coherence Principle supplies a falsifiable prior for Bayesian model selection by converting compatibility with a theory's validated grammar into prior weights via a maximum-entropy exponential controlled by one parameter.
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Electroweak First-Order Phase Transition Triggered by Non-Gaussian Fluctuations of a $\mathbb{Z}_2$-Symmetric Spectator Scalar
Non-Gaussian primordial fluctuations of a Z2-symmetric spectator scalar trigger a strong first-order electroweak phase transition, with the field serving as cold dark matter and generating a stochastic gravitational w...
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On Cosmological Correlators with Boundary Contributions
The paper derives a correspondence between boundary terms and field redefinitions for cosmological correlators and classifies non-vanishing boundary contributions in massive-exchange diagrams under dS isometries and b...
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Cosmological Collider Signatures from Right-Handed Neutrino Loop
Right-handed neutrino loops in inflation with seesaw mechanism generate enhanced cosmological collider signatures via a chemical potential from a dimension-5 operator, softening Boltzmann suppression and amplifying os...
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AGILE: an end-to-end Rubin-LSST simulation of AGNs, galaxies, and stars I. Software description and first data release
AGILE builds a 24 deg² truth catalog and a 1 deg² three-year LSST pilot (DR1) to measure flux recovery and Type-1 AGN completeness/purity from color and variability selections.
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Ultra slow-turn inflation
In slow-roll multi-field inflation, stability should be read from the total entropy perturbation, which decays in 'ultra slow-turn' models even when the isocurvature effective mass-squared is negative.
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Isotropy, anisotropies and non-Gaussianity in the scalar-induced gravitational-wave background: diagrammatic approach for primordial non-Gaussianity up to arbitrary order
Extends diagrammatic approach for scalar-induced gravitational waves to arbitrary-order local PNG, deriving semi-analytic spectra for energy density, anisotropies, bispectrum and trispectrum up to quartic terms.
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Dynamics and observational signatures of warm Dirac-Born-Infeld inflation with nonminimal derivative coupling
Warm DBI inflation with NMDC friction and thermal dissipation yields ns and R consistent with Planck 2018 for n=2,4 potentials, with R typically 10^{-8}–10^{-5} and relaxed η constraints.
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Searching for primordial features with radio surveys: synergy between the power spectrum and bispectrum
Joint power spectrum and bispectrum analysis from future HI intensity mapping surveys improves constraints on primordial feature amplitudes by 30-40% and achieves percent-level precision on oscillation frequencies whe...
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Renormalization effects fade away during inflation
Inflation dynamically suppresses the renormalization sector, rendering the observable primordial spectrum insensitive to renormalization ambiguities.
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Tachyonic Encore: A universal shift of inflationary observables
A light axion spectator induces post-inflation tachyonic phases that produce a nearly scale-invariant boost to the curvature power spectrum and alter key inflationary observables in a largely potential-independent manner.
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Euclid preparation: Testing multi-field inflation with galaxy power spectrum and bispectrum
Validates redshift-space power spectrum and bispectrum analysis on Abacus-PNG mocks to recover unbiased f_NL constraints for Euclid spectroscopic sample.
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Classical and quantum evolution of inflationary fluctuations
Classical and quantum correlation functions of inflationary perturbations diverge exponentially with e-folds when interactions are relevant, even if forced to agree at an intermediate time.
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Bayesian analysis of $\alpha$-Starobinsky model with Planck, ACT and DESI data
With Planck+ACT+DESI, pure Starobinsky requires N*>60 while free α shows a 1σ preference for log10 α>0; ACT lensing adds little to the primordial constraints.
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A Compact Story of Positivity in de Sitter
Compares two methods to resolve disagreements and prove positivity of anomalous dimensions for principal series fields coupled to compact scalar operators in de Sitter space.
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Constraining primordial black holes and primordial curvature power spectrum with extragalactic muon neutrino
Neutrino flux from WIMP annihilation in PBH-seeded UCMHs yields f_PBH ≲ 4×10^{-5} (strongest) and P_R ≲ 10^{-1.65} at k∼3×10^{12} Mpc^{-1}.
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Signals from the early Universe: a comprehensive search for primordial features in Planck CMB datasets
Systematic re-analysis of Planck PR3 and PR4 CMB datasets finds local fit improvements of up to Δχ² ≈ -15 for certain oscillatory templates but no global significance above 2.6σ after look-elsewhere correction and Bay...
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Probing String-Theory-Inspired Topologies of the Early Universe through CMB Temperature and Polarization Anisotropies
Reexamination of Planck CMB data finds a possible spatial-parity-breaking signal consistent with six extra dimensions compactified toroidally at the GUT scale before inflation.
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Single field matter bounce with dark energy era: comparison with CMB Planck 2018 data and best fit parameters
A matter bounce model driven by a scalar field with exponential potential fits Planck 2018 CMB data comparably to inflationary ΛCDM, with the potential slope λ directly setting the scalar spectral index ns.
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MUltiplexed Survey Telescope (MUST) Science White Paper I: Overview of Large-Scale Structure Cosmology in the Era of Stage-V Spectroscopic Surveys
MUST is a planned 6.5m Stage-V spectroscopic survey telescope targeting 100M+ galaxies and quasars to z~5.5 for large-scale structure cosmology studies.
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Beyond {\Lambda}CDM with the SKA Observatory -- II: Unveiling the Secrets of the Early Universe
Updated SKAO-AA4 forecasts show multi-tracer HI+galaxy analyses can reach σ(f_local_NL)≲1 and improve αs bounds by tens of percent when combined with future CMB, while foregrounds and GR light-cone effects remain the ...
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