Fast Computation of First-Order Feature-Bispectrum Corrections

Abstract

Features in the inflaton potential that are traversed in much less than an e-fold of the expansion can produce observably large non-Gaussianity. In these models first order corrections to the curvature mode function evolution induce effects at second order in the slow roll parameters that are generically greater than ~ 10% and can reach order unity for order unity power spectrum features. From a complete first order expression in generalized slow-roll, we devise a computationally efficient method that is as simple to evaluate as the leading order one and implements consistency relations in a controlled fashion. This expression matches direct numerical computation for step potential models of the dominant bispectrum configurations to better than 1% when features are small and 10% when features are order unity.

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• Features and New Physical Scales in Primordial Observables: Theory and Observation
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• Inflationary Steps in the Planck Data
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• Bounds on non-adiabatic evolution in single-field inflation
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• Why does the effective field theory of inflation work?
• Scalar Bispectrum Beyond Slow-Roll in the Unified EFT of Inflation
• The Black Hole Window on Cosmic Inflation