Resolving primordial physics through correlated signatures

Abstract

We discuss correlations among spectral observables as a new tool for differentiating between models for the primordial perturbation. We show that if generated in the isocurvature sector, a running of the scalar spectral index is correlated with the statistical properties of non-Gaussianities. In particular, we find a large running will inevitably be accompanied by a large running of $f_{\mathrm{NL}}$ and enhanced $g_{\mathrm{NL}}$, with $g_{\mathrm{NL}}\gg f_{\mathrm{NL}}^2$. If the tensor to scalar ratio is large, a large negative running must turn positive on smaller scales. Interestingly, the characteristic scale of the transition could potentially distinguish between the inflaton and isocurvature fields.

18 pages, 5 figures

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• Scale-dependent non-Gaussianity and the CMB Power Asymmetry
• The hemispherical asymmetry from a scale-dependent inflationary bispectrum
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