Tilt and Running of Cosmological Observables in Generalized Single-Field Inflation

Abstract

Employing an effective field theory approach to inflationary perturbations, we analyze in detail the effect of curvature-generated Lagrangian operators on various observables, focusing on their running with scales. At quadratic order, we solve the equation of motion at next-to-leading leading order in a generalized slow-roll approximation for a very general theory of single-field inflation. We derive the resulting power spectrum, its tilt and running. We then focus on the contribution to the primordial non-Gaussianity amplitude f_{NL} sourced by a specific interaction term. We show that the running of f_{NL} can be substantially larger than what dictated by the slow-roll parameters.

20 pages, 4 figures

References in corpus (27)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Effective Field Theory of Inflation
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Primordial Non-Gaussianities from Inflation Models
• Effective Field Theory for Inflation
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• On the consistency relation of the 3-point function in single field inflation
• On the one loop corrections to inflation and the CMB anisotropies
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• Non-Gaussianities in New Ekpyrotic Cosmology
• Scale-dependent non-Gaussianity probes inflationary physics
• On the One Loop Corrections to Inflation II: The Consistency Relation
• On Resumming Inflationary Perturbations beyond One-loop
• Non-gaussianity from the trispectrum in general single field inflation
• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• Simple Bounds from the Perturbative Regime of Inflation
• On the full quantum trispectrum in multi-field DBI inflation
• Scale-dependence of Non-Gaussianity in the Curvaton Model
• Primordial perturbations and non-Gaussianities from modulated trapping
• Negative spectral index of $f_{NL}$ in the axion-type curvaton model
• CMB Constraints on Principal Components of the Inflaton Potential

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• Effective field theory of weakly coupled inflationary models
• On degenerate models of cosmic inflation
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