Squeezed bispectrum in the δN formalism: local observer effect in field space

Yuichiro Tada, Vincent Vennin

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Abstract

The prospects of future galaxy surveys for non-Gaussianity measurements call for the development of robust techniques for computing the bispectrum of primordial cosmological perturbations. In this paper, we propose a novel approach to the calculation of the squeezed bispectrum in multiple-field inflation. With use of the δN formalism, our framework sheds new light on the recently pointed out difference between the squeezed bispectrum for global observers and that for local observers, while allowing one to calculate both. For local observers in particular, the squeezed bispectrum is found to vanish in single-field inflation. Furthermore, our framework allows one to go beyond the near-equilateral ("small hierarchy") limit, and to automatically include intrinsic non-Gaussianities that do not need to be calculated separately. The explicit computational programme of our method is given and illustrated with a few examples.
Original languageEnglish
JournalJournal of Cosmology and Astroparticle Physics
Volume2017
Issue number021
DOIs
Publication statusPublished - 14 Feb 2017

Keywords

  • physics of the early universe
  • inflation

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