Correlating correlation functions of primordial perturbations

Abstract

We explore the correlations between correlation functions of the primordial curvature perturbation produced during inflation. We find that for general single field inflation, other than the source terms which depend on the model details, higher order correlation functions are characterized by the power spectrum, its spectral index and running. The correlation between the bispectrum and power spectrum is presented as an explicit example of our systematic approach.

(v1) 8 pages, 1 figure; (v2) references added and typos corrected, to appear in Physical Review D

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• Heavy fields, reduced speeds of sound and decoupling during inflation
• Localized correlated features in the CMB power spectrum and primordial bispectrum from a transient reduction in the speed of sound
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• Combining power spectrum and bispectrum measurements to detect oscillatory features
• Primordial Features from Linear to Nonlinear Scales
• Scratches from the Past: Inflationary Archaeology through Features in the Power Spectrum of Primordial Fluctuations
• Polyspectra searches for sharp oscillatory features in cosmic microwave sky data
• Features from the non-attractor beginning of inflation
• On the scalar consistency relation away from slow roll
• Untangling features in the primordial spectra
• Constraints on inflation with LSS surveys: features in the primordial power spectrum
• Constraints on holographic multi-field inflation and models based on the Hamilton-Jacobi formalism
• Examining the consistency relations describing the three-point functions involving tensors
• Consistency relations for sharp features in the primordial spectra
• Single field inflation with modulated potential in light of the Planck and BICEP2
• Lensing anomaly and oscillations in the primordial power spectrum
• Higher derivatives and power spectrum in effective single field inflation
• Blue running of the primordial tensor spectrum
• Direct search for features in the primordial bispectrum
• Robust predictions for an oscillatory bispectrum in Planck 2015 data from transient reductions in the speed of sound of the inflaton
• Combined features in the primordial spectra induced by a sudden turn in two-field DBI inflation
• Primordial feature constraints from BOSS+eBOSS
• Consistency relations for sharp inflationary non-Gaussian features
• Correlated primordial spectra in effective theory of inflation
• Reconstructing the EFT of Inflation from Cosmological Data
• A Universal Bound on Excitations of Heavy Fields during Inflation
• Scale invariance of the primordial tensor power spectrum
• Refining the nonlinear modelling of primordial oscillatory features
• Cross-tests of CMB features in the primordial spectra