Journal
PHYSICAL REVIEW LETTERS
Volume 107, Issue 19, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.191301
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Funding
- Department of Astrophysical Sciences at Princeton University
- NSF [AST-0807444, PHY-0855425, AST-0506556, AST-0907969]
- David and Lucile Packard Foundation
- John D. and Catherine T. MacArthur Foundation
- Direct For Mathematical & Physical Scien [807444] Funding Source: National Science Foundation
- Division Of Astronomical Sciences [807444] Funding Source: National Science Foundation
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Models of inflation in which non-Gaussianity is generated outside the horizon, such as curvaton models, generate distinctive higher-order correlation functions in the cosmic microwave background and other cosmological observables. Testing for violation of the Suyama-Yamaguchi inequality tau(NL) >= (6/5 f(NL))(2), where f(NL) and tau(NL) 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 Letter, 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.
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