A universal bound on N-point correlations from inflation

Abstract

Models of inflation in which non-Gaussianity is generated outside the horizon, such as curvaton models, generate distinctive higher-order correlation functions in the CMB and other cosmological observables. Testing for violation of the Suyama-Yamaguchi inequality tauNL >= (6/5 fNL)^2, where fNL and tauNL denote the amplitude of the three-point and four-point functions in certain limits, has been proposed as a way to distinguish qualitative classes of models. This inequality has been proved for a wide range of models, but only weaker versions have been proved in general. In this paper, we give a proof that the Suyama-Yamaguchi inequality is always satisfied. We discuss scenarios in which the inequality may appear to be violated in an experiment such as Planck, and how this apparent violation should be interpreted. We analyze a specific example, the "ungaussiton" model, in which leading-order scaling relations suggest that the Suyama-Yamaguchi inequality is eventually violated, and show that the inequality always holds.

reference added, typos corrected, matches PRL published version

References in corpus (7)

• Cosmology and Fundamental Physics with the Euclid Satellite
• Non-Gaussianity in the modulated reheating scenario
• Angular Trispectrum of CMB Temperature Anisotropy from Primordial Non-Gaussianity with the Full Radiation Transfer Function
• CMB temperature lensing power reconstruction
• On Classification of Models of Large Local-Type Non-Gaussianity
• Non-Gaussianity Consistency Relation for Multi-field Inflation
• Non-Gaussianity from Symmetry

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