General formula for the running of local fNL

Abstract

We compute the scale dependence of fNL for models of multi-field inflation, allowing for an arbitrary field space metric. We show that, in addition to multi-field effects and self interactions, the curved field space metric provides another source of scale dependence, which arises from the field-space Riemann curvature tensor and its derivatives. The scale dependence may be detectable within the near future if the amplitude of fNL is not too far from the current observational bounds.

(v1) 9 pages, 1 figure; (v2) 10 pages, minor updates including the title, to appear in Physics Letters B

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• Inflation in a scale invariant universe
• Frame Covariant Nonminimal Multifield Inflation
• Landscape tomography through primordial non-Gaussianity
• Scale independent $R^2$ inflation
• Scale-dependent non-Gaussianity and the CMB Power Asymmetry
• The hemispherical asymmetry from a scale-dependent inflationary bispectrum
• Cosmological observables in multi-field inflation with a non-flat field space
• Non-Gaussian bias: insights from discrete density peaks
• Scale-dependent bias from multiple-field inflation
• Squeezed primordial bispectrum from general vacuum state
• Momentum dependence of the bispectrum in two-field inflation
• Non-Gaussianity in two-field inflation beyond the slow-roll approximation
• Scale and shape dependent non-Gaussianity in the presence of inflationary vector fields
• Covariant evolution of perturbations during reheating in two-field inflation
• Running of scalar spectral index in multi-field inflation
• Origin of ultra-light fields during inflation and their suppressed non-Gaussianity
• Generalized local ansatz for scale-dependent primordial non-Gaussianities and future galaxy surveys
• Second-order cosmological perturbations in two-field inflation and predictions for non-Gaussianity
• Squeezed bispectrum from multi-field inflation with curved field space metric