Extension of local-type inequality for the higher order correlation functions

Abstract

For the local-type primordial perturbation, it is known that there is an inequality between the bispectrum and the trispectrum. By using the diagrammatic method, we develop a general formalism to systematically construct the similar inequalities up to any order correlation function. As an application, we explicitly derive all the inequalities up to six and eight-point functions.

15 pages, 5 figures, unrelated file removed

References in corpus (9)

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• Primordial trispectrum from inflation
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Cited by in corpus (8)

• Beauty is Distractive: Particle production during multifield inflation
• Primordial non-Gaussianity in the bispectra of large-scale structure
• Inhomogeneous non-Gaussianity
• Primordial trispectrum from kSZ tomography
• The Separate Universe Approach to Soft Limits
• Generating the cosmic microwave background power asymmetry with $g_{NL}$
• Implications of the Planck bispectrum constraints for the primordial trispectrum
• Cosmology from the kinetic polarized Sunyaev Zel'dovich effect