Consistency Relation for multifield inflation scenario with all loop contributions

Abstract

The consistency relation between non-linear parameters $f_{NL}$ and ${\tau }_{NL}$ characterizing Non-Gaussianity generated during the inflationary period have been emerged as a useful tool which have a possibility to rule out a large class of inflationary models all at once. In our previous work, we extended the Suyama-Yamaguchi inequality up to 1-loop corrections. In this paper, we derive an inequality extended up to {\it all} loop corrections which has the same expression with the original Suyama-Yamaguchi inequality, ${\tau }_{NL}\ge (6/5f_{NL}{)}^2$, where the equality is not satisfied in the case of single field models any more.

24 pages, 6 figures

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• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Large trispectrum in two-field slow-roll inflation
• Loop corrections and a new test of inflation
• The Separate Universe Approach to Soft Limits
• Cosmic Variance of the Spectral Index from Mode Coupling
• Halo/Galaxy Bispectrum with Primordial non-Gaussianity from integrated Perturbation Theory (iPT)
• Statistics of general functions of a Gaussian field -application to non-Gaussianity from preheating-
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• Higher-Order Gravitational Lensing Reconstruction using Feynman Diagrams
• Observable predictions of generalised inflationary scenarios
• Higher order non-linear parameters with PLANCK