A Cosmological Bootstrap for Resonant Non-Gaussianity
arXiv:2311.01395 · doi:10.1007/JHEP03(2024)098
Abstract
Recent progress has revealed a number of constraints that cosmological correlators and the closely related field-theoretic wavefunction must obey as a consequence of unitarity, locality, causality and the choice of initial state. When combined with symmetries, namely homogeneity, isotropy and scale invariance, these constraints enable one to compute large classes of simple observables, an approach known as (boostless) cosmological bootstrap. Here we show that it is possible to relax the restriction of scale invariance, if one retains a discrete scaling subgroup. We find an infinite class of solutions to the weaker bootstrap constraints and show that they reproduce and extend resonant non-Gaussianity, which arises in well-motivated models such as axion monodromy inflation. We find no evidence of the new non-Gaussian shapes in the Planck data. Intriguingly, our results can be re-interpreted as a deformation of the scale-invariant case to include a complex order of the total energy pole, or more evocatively interactions with a complex number of derivatives. We also discuss for the first time IR-divergent resonant contributions and highlight an inconsequential inconsistency in the previous literature.
arXiv comment33 pages, 4 figures; v2: published version, minor corrections and references added
References in corpus (59)
- The Effective Field Theory of Inflation
- Monodromy in the CMB: Gravity Waves and String Inflation
- Gravity Waves and Linear Inflation from Axion Monodromy
- Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
- Completing Natural Inflation
- Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
- On graviton non-Gaussianities during inflation
- Oscillations in the CMB from Axion Monodromy Inflation
- Large Non-Gaussianities in Single Field Inflation
- Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
- An Ignoble Approach to Large Field Inflation
- Resonant Non-Gaussianity
- A review of Axion Inflation in the era of Planck
- The Observed Squeezed Limit of Cosmological Three-Point Functions
- Bootstrapping Inflationary Correlators in Mellin Space
- The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds
- New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators
- A Mellin Space Approach to Cosmological Correlators
- The Cosmological Optical Theorem
- Cosmological Cutting Rules
- The (not so) squeezed limit of the primordial 3-point function
- Productive Interactions: heavy particles and non-Gaussianity
- Building a Boostless Bootstrap for the Bispectrum
- Folded Resonant Non-Gaussianity in General Single Field Inflation
- Linking the Singularities of Cosmological Correlators
- Cutting Cosmological Correlators
- From Locality and Unitarity to Cosmological Correlators
- Probing P and CP Violations on the Cosmological Collider
- Boostless Cosmological Collider Bootstrap
- The Boostless Bootstrap: Amplitudes without Lorentz boosts
- Effective Theory of Large-Scale Structure with Primordial Non-Gaussianity
- (Small) Resonant non-Gaussianities: Signatures of a Discrete Shift Symmetry in the Effective Field Theory of Inflation
- Oscillations in the inflaton potential?
- Cosmological Bootstrap in Slow Motion
- On the time evolution of cosmological correlators
- Bootstrapping Multi-Field Inflation: non-Gaussianities from light scalars revisited
- Chain Inflation in the Landscape: "Bubble Bubble Toil and Trouble"
- Drifting Oscillations in Axion Monodromy
- Parity violation in the scalar trispectrum: no-go theorems and yes-go examples
- Combining power spectrum and bispectrum measurements to detect oscillatory features
- Bootstrapping Large Graviton non-Gaussianities
- Resonant Trispectrum and a Dozen More Primordial N-point functions
- On the Symmetries of Cosmological Perturbations
- How Gaussian can our Universe be?
- Conformal Fermi Coordinates
- Classical Cosmological Collider Physics and Primordial Features
- The graviton four-point function in de Sitter space
- Collective Symmetry Breaking and Resonant Non-Gaussianity
- Imprints of Oscillatory Bispectra on Galaxy Clustering
- A Differential Representation of Cosmological Wavefunctions
- Oscillations in the Primordial Bispectrum: Mode Expansion
- Higher N-point function data analysis techniques for heavy particle production and WMAP results
- On Graviton non-Gaussianities in the Effective Field Theory of Inflation
- Probing the initial state of inflation: analytical structure of cosmological correlators
- High-resolution CMB bispectrum estimator with flexible modal basis
- Mixed Graviton and Scalar Bispectra in the EFT of Inflation: Soft Limits and Boostless Bootstrap
- Resonant non-Gaussianity with equilateral properties
- Resonant Reconciliation of Convex Models and the Planck
- Observable Quantum Loop Effects in the Sky
Cited by in corpus (11)
- Inflationary Butterfly Effect: Non-perturbative Dynamics From Small-Scale Features
- The Open Effective Field Theory of Inflation
- Searching for Cosmological Collider in the Planck CMB Data
- The Massive Flat Space Limit of Cosmological Correlators
- Bispectrum at 1-loop in the Effective Field Theory of Inflation
- The UV Sensitivity of Axion Monodromy Inflation
- Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
- A Match Made in Heaven: Linking Observables in Inflationary Cosmology
- Perturbative unitarity bounds on field-space curvature in de Sitter spacetime: purity vs scattering amplitude
- Amplifying the Cosmological Collider with Ghost Spectators
- Non-relativistic Cosmological Collider Signals