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This is the expression for the bispectrum obtained assuming ζ could be expanded as ζ=ζG+fNLζζGζG, where ζG is assumed to obey Gaussian statistics. This is not, however, a valid description when the bispectrum originates from multiple-field couplings or from quantum calculation. The formal expression 2 is always valid though; see Refs..
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This is the expression for the bispectrum obtained assuming ζ could be expanded as ζ=ζG+fNLζζGζG, where ζG is assumed to obey Gaussian statistics. This is not, however, a valid description when the bispectrum originates from multiple-field couplings or from quantum calculation. The formal expression 2 is always valid though; see Refs..
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