Inflationary perturbation spectra at next-to-leading slow-roll order in effective field theory of inflation

Abstract

The effective field theory (EFT) of inflation provides an essential picture to explore the effects of the unknown high energy physics in the single scalar field inflation models. For a generic EFT of inflation, possible high energy corrections to simple slow-roll inflation can modify both the propagating speed and dispersion relations of the cosmological scalar and tensor perturbations. With the arrival of the era of precision cosmology, it is expected that these high energy corrections become more important and have to be taken into account in the analysis with future precise observational data. In this paper we study the observational predictions of the EFT of inflation by using the third-order uniform asymptotic approximation method. We calculate explicitly the primordial power spectra, spectral indices, running of the spectral indices for both scalar and tensor perturbations, and the ratio between tensor and scalar spectra. These expressions are all written in terms of the Hubble flow parameters and the flow of four new slow-roll parameters and expanded up to the next-to-leading order in the slow-roll expansions so they represent the most accurate results obtained so far in the literature. The flow of the four new slow-roll parameters, which arise from the four new operators introduced in the action of the EFT of inflation, can affect the primordial perturbation spectra at the leading-order and the corresponding spectral indices at the next-to-leading order.

arXiv comment11 pages. arXiv admin note: text overlap with arXiv:1811.03216, arXiv:1707.08020; version published in Eur. Phys. J. C

References in corpus (43)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Quantum Gravity at a Lifshitz Point
• The Effective Field Theory of Inflation
• Encyclopaedia Inflationaris
• Effective Field Theory for Inflation
• General Covariance in Quantum Gravity at a Lifshitz Point
• On the consistency relation of the 3-point function in single field inflation
• The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Resilience of the standard predictions for primordial tensor modes
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Effects of parity violation on non-gaussianity of primordial gravitational waves in Hořava-Lifshitz gravity
• The Inflationary Perturbation Spectrum
• General covariant Horava-Lifshitz gravity without projectability condition and its applications to cosmology
• Polarizing primordial gravitational waves by parity violation
• U(1) symmetry and elimination of spin-0 gravitons in Horava-Lifshitz gravity without the projectability condition
• Characterizing Inflationary Perturbations: The Uniform Approximation
• K-inflationary Power Spectra at Second Order
• Post-Newtonian approximations in the Hořava-Lifshitz gravity with extra U(1) symmetry
• Inflationary Perturbations and Precision Cosmology
• Inflationary cosmology with nonlinear dispersion relations
• Extended Effective Field Theory of Inflation
• Generalized Slow Roll in the Unified Effective Field Theory of Inflation
• Shortcomings of New Parametrizations of Inflation
• Forecasting sensitivity on tilt of power spectrum of primordial gravitational waves after Planck satellite
• Gravitational quantum effects on power spectra and spectral indices with higher-order corrections
• Inflationary spectra with inverse-volume corrections in loop quantum cosmology and their observational constraints from Planck 2015 data
• Scalar and tensor perturbations in loop quantum cosmology: High-order corrections
• Detecting quantum gravitational effects of loop quantum cosmology in the early universe?
• High-order Primordial Perturbations with Quantum Gravitational Effects
• Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction
• Inflation in general covariant Hořava-Lifshitz gravity without projectability
• Second-Order Corrections to the Power Spectrum in the Slow-Roll Expansion with a Time-Dependent Sound Speed
• Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations
• Power spectra and spectral indices of $k$-inflation: high-order corrections
• Simplifying the EFT of Inflation: Generalized Disformal Transformations and Redundant Couplings
• Primordial Non-Gaussianity of Gravitational Waves in Hořava-Lifshitz Gravity
• An analytical approach to the field amplification and particle production by parametric resonance during inflation and reheating
• Non-Unitary Evolution in the General Extended EFT of Inflation & Excited Initial States
• Adiabatic regularisation of power spectra in $k$-inflation
• Dirac-Born-Infeld and k-inflation: the CMB anisotropies from string theory
• Inflationary perturbation spectrum in extended effective field theory of inflation
• Adiabatic regularisation of power spectra in nonminimally coupled chaotic inflation

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