On non-Gaussianities in single-field inflation

2003/06/30 by Paolo Creminelli · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph #hep-ph #hep-th

paper · pdf · doi:10.1088/1475-7516/2003/10/003

published as JCAP 0310:003,2003 · 10 pages

arxiv created 2003/09/25 · openalex publication_date 2003/10/03 · arxiv updated 2011/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study the impact of higher dimension operators in the inflaton Lagrangian on the non-Gaussianity of the scalar spectrum. These terms can strongly enhance the effect without spoiling slow-roll, though it is difficult to exceed f NL ~1, because the scale which suppresses the operators cannot be too low, if we want the effective field theory description to make sense. In particular we explicitly calculate the three-point function given by an higher derivative interaction of the form (∇ϕ) 4 , which is expected to give the most important contribution. The angular dependence of the result turns out to be quite different from the minimal case without higher dimension operators.

Citations

• Future Probes of the Primordial Scalar and Tensor Perturbation Spectra: Prospects from the CMB, Cosmic Shear and High-Volume Redshift Surveys
• The Pursuit of Non-Gaussian Fluctuations in the Cosmic Microwave Background
• Three-point temperature anisotropies in WMAP: Limits on CMB non-Gaussianities and nonlinearities
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Primordial density perturbation in the curvaton scenario
• Extranatural Inflation
• k-Inflation

Cited by

• Large primordial trispectra in general single field inflation
• Non-Gaussian halo mass function and non-spherical halo collapse: theory vs. simulations