4.6 Article

A modal approach to the numerical calculation of primordial non-Gaussianities

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1475-7516/2013/02/002

Keywords

inflation; non-gaussianity; cosmological perturbation theory

Funding

  1. STFC [ST/F002998/1]
  2. Centre for Theoretical Cosmology
  3. French state funds [ANR-11-IDEX-0004-02]
  4. STFC [ST/F002998/1, ST/I002006/1, ST/H008586/1] Funding Source: UKRI
  5. Science and Technology Facilities Council [ST/I002006/1, ST/F002998/1, ST/H008586/1] Funding Source: researchfish

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We propose a new method to numerically calculate higher-order correlation functions of primordial fluctuations generated from any early-universe scenario. Our key-starting point is the realization that the tree-level In-In formalism is intrinsically separable. This enables us to use modal techniques to efficiently calculate and represent non-Gaussian shapes in a separable form well suited to data analysis. We prove the feasibility and the accuracy of our method by applying it to simple single-field inflationary models in which analytical results are available, and we perform non-trivial consistency checks like the verification of the single field consistency relation. We also point out that the i epsilon prescription is automatically taken into account in our method, preventing the need for ad-hoc tricks to implement it numerically.

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